I. Babuska

发表

I. Babuska, J. Melenk, 1997 .

ON THE ANGLE CONDITION IN THE FINITE ELEMENT METHOD

I. Babuska, A. Aziz, 1976 .

Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation

I. Babuska, R. Tempone, G. E. Zouraris, 2005 .

Solution of stochastic partial differential equations using Galerkin finite element techniques

I. Babuska, J. Oden, M. Deb, 2001 .

Nonconforming Elements in the Finite Element Method with Penalty

I. Babuska, M. Zlámal, 1973 .

A model study of the quality of a posteriori error estimators for linear elliptic problems. Error estimation in the interior of patchwise uniform grids of triangles

I. Babuska, T. Strouboulis, C. Upadhyay, 1994 .

Pollution Error in the h-Version of the Finite Element Method and the Local Quality of the Recovered Derivatives.

I. Babuska, T. Strouboulis, C. Upadhyay, 1997 .

A‐posteriori error estimates for the finite element method

I. Babuska, W. Rheinboldt, 1978 .

The penetration function and its application to microscale problems

I. Babuska, R. Lipton, Michael Stuebner, 2008 .

Modeling, mesh generation, and adaptive numerical methods for partial differential equations

J. Hopcroft, I. Babuska, J. Flaherty, 1995 .

Analysis of mixed methods using mesh dependent norms

I. Babuska, J. Pitkäranta, J. Osborn, 1980 .

A posteriori error analysis and adaptive processes in the finite element method: Part II—adaptive mesh refinement

Ivo Babuška, O. C. Zienkiewicz, D. W. Kelly, 1983 .

Computational Aspects of the Finite Element Method

I. Babuska, W. Rheinboldt, 1977 .

A-Posteriori Error Estimates and Adaptive Techniques for the Finite Element Method.

I. Babuska, A. Miller, 1981 .

Adaptive approaches and reliability estimations in finite element analysis

I. Babuska, W. Rheinboldt, 1979 .

Hierarchical Finite Element Approaches Error Estimates and Adaptive Refinement

I. Babuska, O. Zienkiewicz, J. Gago, 1981 .

The finite element method with Lagrangian multipliers

I. Babuska, 1973 .

Acta Numerica 2003: Survey of meshless and generalized finite element methods: A unified approach

I. Babuska, J. Osborn, U. Banerjee, 2003 .

Meshless and Generalized Finite Element Methods: A Survey of Some Major Results

I. Babuska, J. Osborn, U. Banerjee, 2003 .

The partition of unity finite element method: Basic theory and applications

I. Babuska, J. Melenk, 1996 .

Finite Element Analysis

I. Babuska, B. Szabó, 2021 .

Numerical processes in differential equations

I. Babuska, H. Keller, M. Práger, 1968 .

Efficient preconditioning for the p -version finite element method in two dimensions

I. Babuska, J. Mandel, J. Pitkäranta, 1991 .

Stable Generalized Finite Element Method (SGFEM)

I. Babuska, U. Banerjee, 2011, 1104.0960.

The generalized finite element method

I. Babuska, T. Strouboulis, K. Copps, 2001 .

Special finite element methods for a class of second order elliptic problems with rough coefficients

I. Babuska, J. Osborn, G. Caloz, 1994 .

The design and analysis of the Generalized Finite Element Method

I. Babuska, T. Strouboulis, K. Copps, 2000 .

The Finite Element Method with Penalty

I. Babuska, 1973 .

Finite element-galerkin approximation of the eigenvalues and Eigenvectors of selfadjoint problems

I. Babuska, J. Osborn, 1989 .

Regularity and numerical solution of eigenvalue problems with piecewise analytic data

I. Babuska, J. Osborn, B. Guo, 1989 .

Estimates for the errors in Eigenvalue and Eigenvector approximation by Galerkinmethods, with particular attention to the case of multiple Eigenvalues

I. Babuska, J. Osborn, 1987 .

The finite element method and its reliability

I. Babuska, T. Strouboulis, 2001 .

Generalized Finite Element Methods: Their Performance and Their Relation to Mixed Methods

I. Babuska, J. Osborn, 1983 .

Verification and validation in computational engineering and science: basic concepts

J. Tinsley Oden, Ivo Babuška, I. Babuska, 2004 .

Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h - p Version of the FEM

I. Babuska, F. Ihlenburg, 1997 .

Dispersion and pollution of the FEM solution for the Helmholtz equation in one, two and three dimensions

I. Babuska, A. Deraemaeker, P. Bouillard, 1999 .

Introduction to Finite Element Analysis: Formulation, Verification and Validation

I. Babuska, B. Szabó, 2011 .

Error-bounds for finite element method

I. Babuska, 1971 .

Numerical treatment of vertex singularities and intensity factors for mixed boundary value problems for the Laplace equation in R 3

I. Babuska, B. Andersson, T. Petersdorff, 1994 .

Finite element method for solving problems with singular solutions

I. Babuska, J. Melenk, B. Guo, 1996 .

A posteriori estimation of the error in the recovered derivatives of the finite element solution

Ivo Babuška, T. Strouboulis, I. Babuska, 1997 .

η%-Superconvergence of finite element approximations in the interior of general meshes of triangles

Ivo Babuška, T. Strouboulis, Chandra Shekhar Upadhyay, 1995 .

A model study of element residual estimators for linear elliptic problems : the quality of the estimators in the interior of meshes of triangles and quadrilaterals

Ivo Babuška, T. Strouboulis, Chandra Shekhar Upadhyay, 1995 .

A Posteriori Error Analysis of Finite Element Solutions for One-Dimensional Problems

Ivo Babuška, Werner C. Rheinboldt, I. Babuska, 1981 .

Approximate and Low Regularity Dirichlet Boundary Conditions in the Generalized Finite Element Method

Ivo Babuška, Victor Nistor, Nicolae Tarfulea, 2007 .

Computer‐based proof of the existence of superconvergence points in the finite element method; superconvergence of the derivatives in finite element solutions of Laplace's, Poisson's, and the elasticity equations

Ivo Babuška, T. Strouboulis, Chandra Shekhar Upadhyay, 1996 .

The problem of the selection of an a posteriori error indicator based on smoothening techniques

Ivo Babuška, Rodolfo Rodríguez, I. Babuska, 1993 .

A MODEL STUDY OF THE QUALITY OF A POSTERIORI ERROR ESTIMATORS FOR FINITE ELEMENT SOLUTIONS OF LINEAR ELLIPTIC PROBLEMS, WITH PARTICULAR REFERENCE TO THE BEHAVIOR NEAR THE BOUNDARY

Ivo Babuška, T. Strouboulis, Chandra Shekhar Upadhyay, 1997 .

Finite element solution of the Helmholtz equation with high wave number Part I: The h-version of the FEM☆

I. Babuska, F. Ihlenburg, 1995 .

A Generalized Finite Element Method for solving the Helmholtz equation in two dimensions with minimal pollution

Ivo Babuška, Stefan A. Sauter, Frank Ihlenburg, 1995 .

A DiscontinuoushpFinite Element Method for Diffusion Problems

I. Babuska, J. Oden, C. Baumann, 1998 .

Dealing with uncertainties in engineering problems using only available data

Ivo Babuška, I. Babuska, R. S. Silva, 2014 .

Chapter I - Reality, Mathematics, and Computation

I. Babuska, Ivan Hlaváěek, J. Chleboun, 2004 .

On locking and robustness in the finite element method

I. Babuska, M. Suri, 1992 .

A feedback element method with a posteriori error estimation: Part I. The finite element method and some basic properties of the a posteriori error estimator

I. Babuska, A. Miller, 1987 .

Mixed-hybrid finite element approximations of second-order elliptic boundary-value problems. Interim report

I. Babuska, J. Oden, J. Lee, 1975 .

On the mixed finite element method with Lagrange multipliers

I. Babuska, G. Gatica, 2003 .

Locking effects in the finite element approximation of elasticity problems

I. Babuska, M. Suri, 1992 .

GENERALIZED FINITE ELEMENT METHODS — MAIN IDEAS, RESULTS AND PERSPECTIVE

I. Babuska, J. Osborn, U. Banerjee, 2004 .

Acta Numerica 2003: Survey of meshless and generalized finite element methods: A unified approach

I. Babuska, J. Osborn, U. Banerjee, 2003 .

The partition of unity finite element method

I. Babuska, J. Melenk, 1996 .

Optimal Shear Correction Factors in Hierarchical Plte Modelling

I. Babuska, C. Schwab, J. D'harcourt, 1991 .

The problem of plate modeling: theoretical and computational results

I. Babuska, Likang Li, 1992 .

Hierarchic models for laminated composites

I. Babuska, R. Actis, B. Szabó, 1992 .

A numerical method with a posteriori error estimation for determining the path taken by a propagating crack

I. Babuska, T. Stone, 1998 .

Reliability of computational science

I. Babuska, R. Tempone, F. Nobile, 2007 .

Rairo Modélisation Mathématique Et Analyse Numérique the H-p Version of the Finite Element Method with Quasiuniform Meshes (*)

I. Babuska, B. Guo, M. Suri, 2009 .

The $h{\text{ - }}p$ Version of the Finite Element Method for Domains with Curved Boundaries

I. Babuska, B. Guo, 1988 .

Locking effects in the finite element approximation of plate models

I. Babuska, C. Schwab, M. Suri, 1995 .

Theh,p andh-p versions of the finite element method in 1 dimension

I. Babuska, W. Gui, 1986 .

The h , p and h-p versions of the finite element method in 1 dimension. Part II. The error analysis of the h and h-p versions

I. Babuska, W. Gui, 1986 .

On a dimensional reduction method. I. The optimal selection of basis functions

I. Babuska, M. Vogelius, 1981 .

Generalized finite element method using mesh-based handbooks: application to problems in domains with many voids

I. Babuska, T. Strouboulis, Lin Zhang, 2003 .

Benchmark computation and performance evaluation for a rhombic plate bending problem

I. Babuska, T. Scapolla, 1989 .

Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation

I. Babuska, F. Ihlenburg, 1995 .

The h-p version of the finite element method

Ivo Babuška, Manil Suri, I. Babuska, 1986 .

Generalized finite element method for second-order elliptic operators with Dirichlet boundary conditions

Ivo Babuška, Victor Nistor, Nicolae Tarfulea, 2008 .

The p -version of the finite element method for the elliptic boundary value problems with interfaces

Ivo Babuška, I. Babuska, Hac-Soo Oh, 1992 .

The method of auxiliary mapping for the finite element solutions of elasticity problems containing singularities

Ivo Babuška, Hae-Soo Oh, I. Babuska, 1993 .

On solving elliptic stochastic partial differential equations

Ivo Babuška, Panagiotis Chatzipantelidis, I. Babuska, 2002 .

Generalized finite element methods for three-dimensional structural mechanics problems

Ivo Babuška, J. T. Oden, Carlos Armando Duarte, 2000 .

A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics

Ivo Babuška, Carlos Armando Duarte, Uday Banerjee, 2013 .

A global-local approach for the construction of enrichment functions for the generalized FEM and its application to propagating three-dimensional cracks

I. Babuska, C. Duarte, M. Babuśka, 2006 .

The post-processing approach in the finite element method—part 1: Calculation of displacements, stresses and other higher derivatives of the displacements

Ivo Babuška, I. Babuska, A. Miller, 1984 .

THE PLATE PARADOX FOR HARD AND SOFT SIMPLE SUPPORT by

I. Babuska, I. Babuska, Pltkaranta, 2022 .

The p-Version of the Finite Element Method for Parabolic Equations. Part 1

Ivo Babuška, I. Babuska, T. Janik, 1981 .

A stochastic multiscale method for the elastodynamic wave equation arising from fiber composites

Ivo Babuška, Raul Tempone, Mohammad Motamed, 2014 .

The p - and h-p version of the finite element method, an overview

Ivo Babuška, Manil Suri, I. Babuska, 1990 .

Basic problems of a posteriori error estimation

Ivo Babuška, Rodolfo Rodríguez, I. Babuska, 1992 .

Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities

I. Babuska, U. Banerjee, Qinghui Zhang, 2016 .

Solution of Interface Problems by Homogenization. I

Ivo Babuška, I. Babuska, 1976 .

p‐version of the generalized FEM using mesh‐based handbooks with applications to multiscale problems

Ivo Babuška, T. Strouboulis, I. Babuska, 2004 .

The generalized finite element method for Helmholtz equation: Theory, computation, and open problems

Ivo Babuška, T. Strouboulis, I. Babuska, 2006 .

The generalized finite element method for Helmholtz equation. Part II: Effect of choice of handbook functions, error due to absorbing boundary conditions and its assessment

Ivo Babuška, T. Strouboulis, I. Babuska, 2008 .

Direct and inverse error estimates for finite elements with mesh refinements

I. Babuška, I. Babuska, R. Kellogg, 1979 .

INTERIOR NUMERICAL APPROXIMATION OF BOUNDARY VALUE PROBLEMS WITH A DISTRIBUTIONAL DATA

Victor Nistor, Ivo Babuska, I. Babuska, 2004 .

The h , p and h-p versions of the finite element methods in 1 dimension . Part III. The adaptive h-p version.

I. Babuska, W. Gui, W Gui, 1986 .

On the posteriori estimation of the modeling error for the heat conduction in a plate and its use for adaptive hierarchical modeling

Christoph Schwab, I. Babuška, I. Babuska, 1994 .

Validation of A-Posteriori Error Estimators by Numerical Approach

Ivo Babuška, T. Strouboulis, Chandra Shekhar Upadhyay, 1994 .

e%-superconvergence in the interior of locally refined meshes of quadrilaterals: superconvergence of the gradient in finite element solutions of Laplace's and Poisson's equations

Ivo Babuška, T. Strouboulis, Chandra Shekhar Upadhyay, 1994 .

Quality assessment of the a-posteriori error estimation in finite elements

Ivo Babuška, Rodolfo Rodríguez, I. Babuska, 1992 .

Basic principles of feedback and adaptive approaches in the finite element method

Ivo Babuška, I. Babuska, W. Gui, 1986 .

Computational aspects and adaptive solution methods in the finite element method for non-linear, parametrized problems

I. Babuska, J. Hugger, 1990 .

n-Widths, sup–infs, and optimality ratios for the k-version of the isogeometric finite element method

Thomas J. R. Hughes, Ivo Babuška, Yuri Bazilevs, 2009 .

The optimal convergence rate of the p-version of the finite element method

Ivo Babuška, Manil Suri, I. Babuska, 1987 .

On principles for the selection of shape functions for the Generalized Finite Element Method

Ivo Babuška, John E. Osborn, Uday Banerjee, 2002 .

Finite Element Methods: Principles for Their Selection.

Ivo Babuška, Douglas N. Arnold, John E. Osborn, 1984 .

An Error Analysis for the Finite Element Method Applied to Convection Diffusion Problems.

Ivo Babuška, W. G. Szymczak, I. Babuska, 1982 .

Lectures on mathematical foundations of the finite element method.

Ivo Babuška, I. Babuska, A. Aziz, 1972 .

Finite Element Methods for the Solution of Problems with Rough Input Data.

I. Babuska, J. Osborn, 1985 .

Homogenization Approach In Engineering

Ivo Babuška, I. Babuska, 1976 .

The post‐processing approach in the finite element method—Part 2: The calculation of stress intensity factors

Ivo Babuška, I. Babuska, A. Miller, 1984 .

MATHEMATICAL FRAMEWORK FOR LATTICE PROBLEMS

I. Babuska, B. Guo, 2007 .

Analysis of optimal finite-element meshes in ¹

Ivo Babuška, Werner C. Rheinboldt, I. Babuska, 1979 .

On solving stochastic initial-value differential equations

Ivo Babuška, I. Babuska, Kang-Man Liu, 2003 .

SOLVING STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS BASED ON THE EXPERIMENTAL DATA

Ivo Babuška, Raul Tempone, Kang-Man Liu, 2003 .

On a dimensional reduction method. II. Some approximation-theoretic results

Ivo Babuška, Michael Vogelius, I. Babuska, 1981 .

A posteriori error estimation for hierarchic models of elliptic boundary value problems on thin domains

Ivo Babuška, Christoph Schwab, I. Babuska, 1996 .

The p‐version of the finite element method for domains with corners and for infinite domains

Ivo Babuška, Hae-Soo Oh, I. Babuska, 1990 .

The Babuška-Brezzi condition and the patch test: an example

Ivo Babuška, I. Babuska, R. Narasimhan, 1997 .

Approximate optimal points for polynomial interpolation of real functions in an interval and in a triangle

Ivo Babuška, I. Babuska, Qi Chen, 1995 .

An anisotropic sparse grid stochastic collocation method for PDEs with random input data.

Ivo Babuška, Raul Tempone, Fabio Nobile, 2007 .

Spatial Poisson processes for fatigue crack initiation

Zaid A Sawlan, I. Babuska, R. Tempone, 2018, Computer Methods in Applied Mechanics and Engineering.

Comments on postwar development of computational mathematics in some countries of Eastern Europe

I. Babuska, 1987, HSNC '87.

The partition of unity method for the elastically supported beam

I. Babuska, Zhimin Zhang, 1998 .

A posteriori estimation of the error in the error estimate

I. Babuska, T. Strouboulis, S. Gangaraj, 1999 .

A-posteriori estimation of the error in the error estimate

I. Babuska, T. Strouboulis, S. Gangaraj, 1998 .

Finite Elements: An Introduction to the Method and Error Estimation

Ivo Babuška, T. Strouboulis, John Robert Whiteman, 2010 .

Strongly Stable Generalized Finite Element Method (SSGFEM) for a non-smooth interface problem

I. Babuska, U. Banerjee, Qinghui Zhang, 2019, Computer Methods in Applied Mechanics and Engineering.

Superconvergence of elliptic reconstructions of finite element solutions of parabolic problems in domains with piecewise smooth boundaries

I. Babuska, T. Strouboulis, D. Wang, 2012 .

Reliability of Computer Predictions In Computational Solid Mechanics : Towards the Estimation and Control of Errors Due to Modeling , Discretization , and Uncertainty

I. Babuska, J. Oden, L. Demkowicz, 2006 .

Reliable and Robust A Posteriori Error Estimation for Singularly Perturbed Reaction-Diffusion Problems

Ivo Babuška, Mark Ainsworth, I. Babuska, 1999 .

An approach for constructing families of homogenized equations for periodic media. I: an integral representation and its consequences

Ivo Babuška, R. C. Morgan, I. Babuska, 1991 .

Finite Element Solution to the Helmholtz Equation with High Wave Number Part II : The hp-version of the FEM

Ivo Babuska, Frank Ihlenburg, I. Babuska, 2022 .

Analysis of Optimal Finite Element Meshes in R1

I. Babuska, W. Rheinboldt, 1979 .

Quantitative Assessment of the Accuracy of Constitutive Laws for Plasticity with an Emphasis on Cyclic Deformation

Ivo Babuška, K. L. Jerina, I. Babuska, 1993 .

A posteriori error analysis and adaptive processus in the finite element method. I: Error analysis

I. Babuska, O. Zienkiewicz, J. Gago, 1983 .

Numerical treatment of eigenvalue problems for differential equations with discontinuous coefficients. [''Factoring'' procedure]

I. Babuska, J. Osborn, 1977 .

Chapter VII – Contact Problems in Elasticity and Thermoelasticity

I. Babuska, I. Hlavácek, J. Chleboun, 2004 .

THE FINITE ELEMENT METHOD FOR ELLIPTIC DIFFERENTIAL EQUATIONS

Ivo Babuška, I. Babuska, 1971 .

The h–p-version of the finite-element method in the plate modelling problem

I. Babuska, L. Li, 1992 .

Stress Computations for Nearly Incompressible Materials

I. Babuska, B. Szabó, B. Chayapathy, 1988 .

A stable generalized finite element method (SGFEM) of degree two for interface problems

I. Babuska, Qinghui Zhang, Qinghui Zhang, 2020, Computer Methods in Applied Mechanics and Engineering.

Strongly Stable Generalized Finite Element Method (SSGFEM) for a non-smooth interface problem II: A simplified algorithm

I. Babuska, U. Banerjee, Qinghui Zhang, 2020 .

Adaptive Hierarchic Modelling of Plates and Shells with A-Posteriori Error Estimation

I. Babuska, C. Schwab, 1992 .

Are High Degree Elements Preferable? Some Aspects of the h and h-p Version of the Finite Element Method

I. Babuska, 1987 .

Mathematical and computational problems in reactor calculations

I. Babuska, R. Kellogg, 1973 .

Study of Superconvergence by a Computer-Based Approach: Superconvergence of the Gradient of the Displacement, The Strain and Stress in Finite Element Solutions for Plane Elasticity.

I. Babuska, T. Strouboulis, C. Upadhyay, 1994 .

Accuracy of some plate models for clamped-in boundary conditions

I. Babuska, L. Li, 1992 .

Solution of Problems with Interfaces and Singularities

Ivo Babuška, I. Babuska, 1974 .

A finite element scheme for domains with corners

Ivo Babuška, I. Babuska, M. Rosenzweig, 1972 .

Dispersion Analysis and Error Estimation of Galerkin Finite Element Methods for the Numerical Computation of Waves

I. Babuska, F. Ihlenburg, 1994 .

Interior numerical approximation of boundary value problems with a distributional data

I. Babuska, V. Nistor, 2004, math/0410184.

What Should be Computed and why

Ivo Babuška, Barna A. Szabó, I. Babuska, 2011 .

Stable generalized finite element method (SGFEM) for three-dimensional crack problems

I. Babuska, U. Banerjee, Qinghui Zhang, 2022, Numerische Mathematik.

Mechanics of Materials with Periodic Truss or Frame Micro-Structures

I. Babuska, P. Martinsson, 2007 .

Robustness of error estimators for finite element solutions of problems with high orthotropy

I. Babuska, T. Strouboulis, D. Wang, 2009 .

A Numerical Method for Steady State Free Boundary Problems

Ivo Babuška, Zhimin Zhang, I. Babuska, 1996 .

A discontinuous hp finite element method for diffusion problems: 1-D analysis☆

I. Babuska, J. Oden, C. Baumann, 1999 .

Selection of Finite Element Methods.

I. Babuska, D. Arnold, J. Osborn, 1981 .

Applications of Mathematics

I. Babuska, K. Segeth, 2015 .

Mathematical problems of computational decisions in the finite element method. Technical report TR-426

I. Babuška, W. C. Rheinboldt, I. Babuska, 1975 .

Effects of uncertainties in the domain on the solution of Dirichlet boundary value problems

Jan Chleboun, Ivo Babuska, I. Babuska, 2003, Numerische Mathematik.

Effects of uncertainties in the domain on the solution of Neumann boundary value problems in two spatial dimensions

Jan Chleboun, Ivo Babuska, I. Babuska, 2002, Math. Comput..

Worst case scenario analysis for elliptic problems with uncertainty

Fabio Nobile, Raúl Tempone, Ivo Babuska, 2005, Numerische Mathematik.

A Global-Local Approach for the Construction of Enrichment Functions for the Generalized FEM and Its Application to Three-Dimensional Cracks

Ivo Babuška, Dae-Jin Kim, C. Armando Duarte, 2007 .

Approximation properties of the h-p version of the finite element method

Ivo Babuška, Benqi Guo, I. Babuska, 1996 .

A fuzzy-stochastic multiscale model for fiber composites: A one-dimensional study

I. Babuska, M. Motamed, 2015, 1510.07973.

Accuracy estimates and adaptive refinements in finite element computations

Ivo Babuška, I. Babuska, 1986 .

A posteriori error analysis and adaptive processes in the finite element method: Part I—error analysis

Ivo Babuška, O. C. Zienkiewicz, D. W. Kelly, 1983 .

Computational error estimates and adaptive processes for some nonlinear structural problems

Ivo Babuška, Werner C. Rheinboldt, I. Babuska, 1982 .

A condensed generalized finite element method (CGFEM) for interface problems

I. Babuska, U. Banerjee, Qinghui Zhang, 2022, Computer Methods in Applied Mechanics and Engineering.

Boundary value problems in spaces of distributions on smooth and polygonal domains

I. Babuska, V. Nistor, 2008 .

Predictive Computational Science: Computer Predictions in the Presence of Uncertainty

Ivo Babuška, Danial Faghihi, J. T. Oden, 2017 .

A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

Fabio Nobile, Raúl Tempone, Ivo Babuska, 2007, SIAM Rev..

Some applications of the discrete fourier transform to problems of crystal lattice deformation I

I. Babuska, F. Kroupa, E. Vitásek, 1960 .

On Roundoff Error Growth in Elliptic Problems

Ivo Babuska, Gustaf Söderlind, I. Babuska, 2018, ACM Trans. Math. Softw..

Damage analysis of fiber composites Part I: Statistical analysis on fiber scale

Ivo Babuška, Klas Levin, Borje Andersson, 1999 .

Approximation by Hill functions. II.

Ivo Babuška, I. Babuska, 1970 .

A systematic approach to model validation based on Bayesian updates and prediction related rejection criteria

Ivo Babuška, Raul Tempone, Fabio Nobile, 2008 .

Quadrature for meshless methods

Ivo Babuška, John E. Osborn, Uday Banerjee, 2008 .

Geometrically nonlinear analysis of layerwise anisotropic shell structures by hybrid strain based lower order elements

Ahmed K. Noor, Ivo Babuška, I. Babuska, 1987 .

Superconvergence in the generalized finite element method

John E. Osborn, Ivo Babuska, Uday Banerjee, 2007, Numerische Mathematik.

On the approximability and the selection of particle shape functions

John E. Osborn, Ivo Babuska, Uday Banerjee, 2004, Numerische Mathematik.

p Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions

Leszek F. Demkowicz, Ivo Babuska, I. Babuska, 2003, SIAM J. Numer. Anal..

Meshless and Generalized Finite Element Methods: A Survey of Some Major Results

I. Babuska, J. Osborn, U. Banerjee, 2003 .

Higher order stable generalized finite element method

Qinghui Zhang, Ivo Babuska, Uday Banerjee, 2014, Numerische Mathematik.

Effect of numerical integration on meshless methods

Ivo Babuška, John E. Osborn, Qinghui Zhang, 2009 .

The p and h-p Versions of the Finite Element Method, Basic Principles and Properties

Ivo Babuska, Manil Suri, I. Babuska, 1994, SIAM Rev..

Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?

Stefan A. Sauter, Ivo Babuska, I. Babuska, 1997, SIAM Rev..

A priori error estimates of finite element solutions of parametrized strongly nonlinear boundary value problems

Ivo Babuška, Takuya Tsuchiya, I. Babuska, 1997 .

THE THEORY OF DENSITY REPRESENTATION OF FINITE ELEMENT MESHES. EXAMPLES OF DENSITY OPERATORS WITH QUADRILATERAL ELEMENTS IN THE MAPPED DOMAIN

Ivo Babuska, I. Babuska, 1993 .

A Posteriori Error Estimates of Finite Element Solutions of Parametrized Nonlinear Equations

Ivo Babuška, Takuya Tsuchiya, I. Babuska, 1992 .

L2-GLOBAL TO LOCAL PROJECTION: AN APPROACH TO MULTISCALE ANALYSIS

Ivo Babuška, Robert Lipton, I. Babuska, 2011 .

On a dimensional reduction method. III. A posteriori error estimation and an adaptive approach

Ivo Babuška, Michael Vogelius, I. Babuska, 1981 .

A comparison of approximate boundary conditions and infinite element methods for exterior Helmholtz problems

Ivo Babuška, Joseph J. Shirron, I. Babuska, 1998 .

The h, p and h-p version of the finite element method: basis theory and applications

Ivo Babuška, B. Q. Guo, I. Babuska, 1992 .

Research directions in computational mechanics

J. Tinsley Oden, Ted Belytschko, Thomas J. R. Hughes, 2003 .

Solution of Helmholtz problems by knowledge-based FEM

Ivo Babuška, Frank Ihlenburg, I. Babuska, 1997 .

Approximation with harmonic and generalized harmonic polynomials in the partition of unity method

Ivo Babuška, Jens Markus Melenk, I. Babuska, 1997 .

The Post-Processing Approach in the Finite Element Method. Part 3. A Posteriori Error Estimates and Adaptive Mesh Selection.

Ivo Babuška, A. Miller, I. Babuska, 1984 .

An expert-system-like feedback approach in the hp -version of the finite element method

Ernst Rank, I. Babuśka, I. Babuska, 1987 .

Theh, p andh-p versions of the finite element method in 1 dimension

I. Babuška, I. Babuska, W. Gui, 1986 .

Computation of the amplitude of stress singular terms for cracks and reentrant corners

Ivo Babuška, Barna A. Szabó, I. Babuska, 1988 .

A Dynamic Data Driven Computational Infrastructure for Reliable Computer Simulations

Yusheng Feng, J. Tinsley Oden, James C. Browne, 2004, International Conference on Computational Science.

Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations

Raúl Tempone, Ivo Babuska, Georgios E. Zouraris, 2004, SIAM J. Numer. Anal..

ICES REPORT #04-06 A COMPUTATIONAL INFRASTRUCTURE FOR RELIABLE COMPUTER SIMULATIONS

Ivo Babuška, Raul Tempone, James C. Browne, 2004 .

A Computational Infrastructure for Reliable Computer Simulations

J. Tinsley Oden, James C. Browne, Leszek F. Demkowicz, 2003, International Conference on Computational Science.

Can We Trust the Computational Analysis of Engineering Problems

Ivo Babuška, T. Strouboulis, I. Babuska, 2002 .

Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems

Robert Lipton, Ivo Babuska, I. Babuska, 2010, Multiscale Model. Simul..

Mathematical Modeling and Numerical Simulation in Continuum Mechanics

Ivo Babuška, Philippe G. Ciarlet, Tetsuhiko Miyoshi, 2001 .

The finite element method for elliptic equations with discontinuous coefficients

Ivo Babuska, I. Babuska, 1970, Computing.

Numerical treatment of engineering problems with uncertainties. The fuzzy set approach and its application to the heat exchanger problem

Ivo Babuška, R. S. Silva, I. Babuska, 2011 .

The p and h-p Versions of the Finite Element Method; State of the Art.

I Babuska, I. Babuska, 1986 .

Reliable error estimation and mesh adaptation for the finite element method

Ivo Babuška, Werner C. Rheinboldt, I. Babuska, 1979 .

The optimal symmetrical points for polynomial interpolation of real functions in the tetrahedron

Ivo Babuška, I. Babuska, Qi Chen, 1995 .

A posteriori error estimation for finite element solutions of Helmholtz' equation—Part II: estimation of the pollution error

Ivo Babuška, T. Strouboulis, I. Babuska, 1997 .

Stress computations for nearly incompressible materials by the p‐version of the finite element method

I. Babuska, B. Szabó, B. Chayapathy, 1989 .

Some aspects of parallel implementation of the finite-element method on message passing architectures

Ivo Babuška, Howard C. Elman, I. Babuska, 1989 .

Beams, Plates and Shells

I. Babuska, B. Szabó, 2011 .

Bayesian inference and model comparison for metallic fatigue data

Ivo Babuska, Zaid Sawlan, Marco Scavino, 2015, 1512.01779.

A posteriori error estimation for finite element solutions of Helmholtz’ equation. part I: the quality of local indicators and estimators

Ivo Babuška, T. Strouboulis, I. Babuska, 1997 .

Guaranteed computable bounds for the exact error in the finite element solution. Part I : One-dimensional model problem

Ivo Babuška, T. Strouboulis, I. Babuska, 1999 .

Analysis of Optimal Finite Element Meshes in R1

I. Babuska, W. Rheinboldt, 1979 .

Reliability of infinite element methods for the numerical computation of waves

Ivo Babuška, Stefan A. Sauter, Frank Ihlenburg, 1997 .

The Problem of Selecting the Shape Functions for a p-Type Finite Element

Ivo Babuška, Michael Griebel, I. Babuska, 1989 .

Appendix A: Definitions

Ivo Babuška, Barna A. Szabó, I. Babuska, 2011, Sustainability.

Self-adaptive refinements in the finite element method

Werner C. Rheinboldt, I. Babuska, I. Babuska, 1975 .

Efficient Solution of Anisotropic Lattice Equations by the Recovery Method

Stefan A. Sauter, Ivo Babuska, I. Babuska, 2008, SIAM J. Sci. Comput..

HOMOGENIZATION OF MATERIALS WITH PERIODIC TRUSS OR FRAME MICRO-STRUCTURES

I. Babuska, P. Martinsson, 2007 .

The computational modeling of problems on domains with small holes

I. Babuska, M. Suri, A. M. Soane, 2017 .

On one approach to a posteriori error estimates for evolution problems solved by the method of lines

Miloslav Feistauer, Ivo Babuska, Pavel Solín, 2001, Numerische Mathematik.

A posteriori estimation and adaptive control of the error in the quantity of interest. Part I: A posteriori estimation of the error in the von Mises stress and the stress intensity factor

T. Strouboulis, I. Babuska, T. Strouboulis, 2000 .

Practical aspects of a-posteriori estimation for reliable finite element analysis 1 Dedicated to Pro

T. Strouboulis, I. Babuška, I. Babuska, 1998 .

A posteriori estimation and adaptive control of the pollution error in the h‐version of the finite element method

Ivo Babuška, T. Strouboulis, Chandra Shekhar Upadhyay, 1995 .

Pollution-error in the h -version of the finite-element method and the local quality of a-posteriori error estimators

Ivo Babuška, T. Strouboulis, A. Mathur, 1994 .

The treatment of nonhomogeneous Dirichlet boundary conditions by thep-version of the finite element method

Manil Suri, I. Babuška, I. Babuska, 1989 .

The p-Version of the Finite Element Method for Constraint Boundary Conditions.

Ivo Babuška, Manil Suri, I. Babuska, 1988 .

Error estimates for the combinedh andp versions of the finite element method

Ivo Babuška, I. Babuska, M. Dorr, 1981 .

Using Cyber-Infrastructure for Dynamic Data Driven Laser Treatment of Cancer

Yusheng Feng, J. Tinsley Oden, James C. Browne, 2007, International Conference on Computational Science.

The dome and the ring: Verification of an old mathematical model for the design of a stiffened shell roof

Barna A. Szabó, Ivo Babuska, Juhani Pitkäranta, 2012, Comput. Math. Appl..

A posteriori error estimation for generalized finite element methods

Ivo Babuška, T. Strouboulis, I. Babuska, 2006 .

Mesh‐independent p‐orthotropic enrichment using the generalized finite element method

Ivo Babuška, Carlos Armando Duarte, I. Babuska, 2002 .

Guaranteed computable bounds for the exact error in the finite element solution—Part II: bounds for the energy norm of the error in two dimensions†

Ivo Babuška, T. Strouboulis, I. Babuska, 2000 .

Reliable stress and fracture mechanics analysis of complex components using a h–p version of FEM

Ivo Babuška, Tobias von Petersdorff, Borje Andersson, 1995 .

On the Patch Type Finite Element Method

I. Babuska, 1995 .

Performance of the h–p version of the finite element method with various elements

Ivo Babuška, Howard C. Elman, I. Babuska, 1993 .

Dynamic data‐driven finite element models for laser treatment of cancer

J C Browne, K R Diller, J Hazle, 2007, Numerical methods for partial differential equations.

Analysis of the efficiency of an a posteriori error estimator for linear triangular finite elements

Ivo Babuška, Ricardo G. Durán, Rodolfo Rodríguez, 1992 .

Optimal estimates for lower and upper bounds of approximation errors in the p-version of the finite element method in two dimensions

Ivo Babuska, Benqi Guo, I. Babuska, 2000, Numerische Mathematik.

Generalized p-FEM in homogenization

Ivo Babuska, Christoph Schwab, Ana-Maria Matache, 2000, Numerische Mathematik.

A note on conjugate gradient convergence

Aaron E. Naiman, I. Babuska, H. Elman, 1997 .

Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty

Yusheng Feng, J. Tinsley Oden, Ivo Babuška, 2005 .

Assessment of the cost and accuracy of the generalized FEM

Ivo Babuška, Lin Zhang, T. Strouboulis, 2007 .

An adaptive method of lines with error control for parabolic equations of the reaction-diffusion type

Ivo Babuška, I. Babuska, M. Bieterman, 1986 .

A numerical procedure for the determination of certain quantities related to the stress intensity factors in two-dimensional elasticity

Ivo Babuška, Panagiotis Papadakis, I. Babuska, 1995 .

An Enriched Immersed Finite Element Method for Interface Problems with Nonhomogeneous Jump Conditions pdf

Slimane Adjerid, Ruchi Guo, Tao Lin, 2020, Computer Methods in Applied Mechanics and Engineering.

Strongly stable generalized finite element method: Application to interface problems

Ivo Babuška, Kenan Kergrene, Uday Banerjee, 2017 .

Multiscale-Spectral GFEM and Optimal Oversampling

I. Babuska, R. Lipton, Paul Sinz, 2019, Computer Methods in Applied Mechanics and Engineering.

Machine Computation Using the Exponentially Convergent Multiscale Spectral Generalized Finite Element Method

Ivo Babuška, Robert Lipton, I. Babuska, 2014 .

Approximate Dirichlet boundary conditions in the generalized finite element method

I. Babuska, E. Woo, V. Nistor, 2006 .

Mesh-independent directional p-enrichment using the generalized finite element method

I. Babuška, C. A. Duarte, I. Babuska, 2001 .

Regularity of the solution of elliptic problems with piecewise analytic data. Part 1. Boundary value problems for linear elliptic equation of second order

Ivo Babuška, B. Q. Guo, I. Babuska, 1988 .

Can a finite element method perform arbitrarily badly?

John E. Osborn, Ivo Babuska, I. Babuska, 2000, Math. Comput..

Information-based numerical practice

Ivo Babuska, I. Babuska, 1987, J. Complex..

An Asymptotically Exact, Pointwise, a Posteriori Error Estimator for Linear, Elliptic, One Dimensional Problems with Possible Singularities in the Solution

I. Babuska, 1994 .

Olek and a Mathematician

I. Babuska, I. Babuska, 1991 .

Trends in finite elements

Ivo Babuška, I. Babuska, 1989 .

Adaptive Methods and Error Estimation for Elliptic Problems of Structural Mechanics.

Ivo Babuška, Michael Vogelius, I. Babuska, 1983 .

The finite element method for parabolic equations

I. Babuška, I. Babuska, M. Bieterman, 1982 .

The finite element method for parabolic equations

Ivo Babuška, I. Babuska, M. Bieterman, 1982 .

On the reliability and optimality of the finite element method

Ivo Babuška, Werner C. Rheinboldt, I. Babuska, 1979 .

On A System For Adaptive, Parallel Finite Element Computations

Werner C. Rheinboldt, Ivo Babuska, I. Babuska, 1978, ACM Annual Conference.

Adaptive Finite Element Processes in Structural Mechanics.

Ivo Babuška, Werner C. Rheinboldt, I. Babuska, 1984 .

The Reliability Estimates and Adaptivity in Finite Element Engineering Computations

Ivo Babuška, I. Babuska, 1982 .

A-posteriori Error Estimation for the Finite Element Method

Ivo Babuška, I. Babuska, 1981 .

Feedback, Adaptivity and A-Posterior Estimates in Finite Elements: Aims, Theory and Experience.

I Babuska, I. Babuska, 1984 .

Reliability Of Finite Element Methods For TheNumerical Computation Of Waves

I. Babuska, F. Ihlenburg, S. Sauted, 1970 .

ANALYSIS AND FINITE ELEMENT METHODS FOR A FLUID-SOLID INTERACTION PROBLEM IN ONE DIMENSION

Ivo Babuška, I. Babuska, C. Makridakis, 1996 .

On the Rates of Convergence of the Finite Element Method

Ivo Babuška, Barna A. Szabó, I. Babuska, 1982 .

The computational aspects of the homogenization problem

I. Babuska, 1979 .

Higher order stable generalized finite element method

I. Babuska, U. Banerjee, Qinghui Zhang, 2014, Numerische Mathematik.

Finite element method for domains with corners

Ivo Babuska, I. Babuska, 1970, Computing.

Corrigendum: “Finite element-Galerkin approximation of the eigenvalues and eigenvectors of selfadjoint problems” [Math. Comp. 52 (1989), no. 186, 275–297; MR0962210 (89k:65132)]

I. Babuška, J. E. Osborn, I. Babuska, 1994 .

The p‐version of the finite element method for domains with corners and for infinite domains

Ernst Rank, Alexander Düster, Barna A. Szabó, 1990 .

The p-Version of the Finite Element Method for Parabolic Equations. Part 1

I. Babuska, T. Janik, 1988 .

Continuous dependence of eigenvalues on the domain

I. Babuska, R. Výborný, 1965 .

Pointwise error estimate of the Legendre expansion: The known and unknown features

Harri Hakula, Ivo Babuška, I. Babuska, 2019, Computer Methods in Applied Mechanics and Engineering.

DIRECT AND INVERSE APPROXIMATION THEOREMS FOR THE p-VERSION OF THE FINITE ELEMENT METHOD IN THE FRAMEWORK OF WEIGHTED BESOV SPACES PART II: OPTIMAL RATE OF CONVERGENCE OF THE p-VERSION FINITE ELEMENT SOLUTIONS

Benqi Guo, I. Babuska, B. Guo, 2002 .

Direct and Inverse Approximation Theorems for the p-Version of the Finite Element Method in the Framework of Weighted Besov Spaces. Part I: Approximability of Functions in the Weighted Besov Spaces

Ivo Babuska, Benqi Guo, I. Babuska, 2001, SIAM J. Numer. Anal..

Uncertainties in Engineering Design. Mathematical Theory and Numerical Experience.

Ivo Babuška, I. Babuska, 1986 .

The plate paradox for hard and soft support

I. Babuska, I. Babuska, J. Pitkaranta, 1990 .

Generalized finite element method using mesh-based handbooks: application to problems in domains with many voids

I. Babuska, T. Strouboulis, Lin Zhang, 2003 .

The partition of unity finite element method

I. Babuska, J. Melenk, 1996 .

An expert system for the optimal mesh design in the hp‐version of the finite element method

Ernst Rank, Ivo Babuška, I. Babuska, 1987 .

Benchmark Computation and Finite Element Performance Evaluation for a Rhombic Plate Bending Problem

Ivo Babuška, Terenzio Scapolla, I. Babuska, 1987 .

The Rate of Convergence for the Finite Element Method

Ivo Babuška, I. Babuska, 1971 .

The partition of unity finite element method: Basic theory and applications

I. Babuska, J. Melenk, 1996 .

A Residual-Based A Posteriori Error Estimator for the Stokes-Darcy Coupled Problem

Gabriel N. Gatica, Ivo Babuska, I. Babuska, 2010, SIAM J. Numer. Anal..

Regularity of the solutions for elliptic problems on nonsmooth domains in ℝ3. Part II: Regularity in neighbourhoods of edges

Ivo Babuška, Benqi Guo, I. Babuska, 1997, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

On the Stability of the Discontinuous Galerkin Method for the Heat Equation

Ivo Babuška, I. Babuska, C. Makridakis, 1997 .

Algebraic algorithms for the analysis of mechanical trusses

Stefan A. Sauter, Ivo Babuska, I. Babuska, 2004, Math. Comput..

Multilevel Preconditioning Methods for Discrete Models of Lattice Block Materials

Ludmil T. Zikatanov, Jinchao Xu, Ivo Babuska, 2008, SIAM J. Sci. Comput..

Development of a Computational Paradigm for Laser Treatment of Cancer

Yusheng Feng, J. Tinsley Oden, James C. Browne, 2006, International Conference on Computational Science.

Problems of Optimization and Numerical Stability in Computations

Ivo Babuška, I. Babuska, 2010 .

A posteriori error estimation for the semidiscrete finite element method of parabolic differential equations

Ivo Babuška, S. Ohnimus, I. Babuska, 2001 .

Hierarchic modeling of plates

Ivo Babuška, I. Babuska, L. Li, 1991 .

The problem of modeling the elastomechanics in engineering

Ivo Babuška, I. Babuska, 1990 .

On the exponential convergence of the h-p version for boundary element Galerkin methods on polygons

Ivo Babuška, Ernst P. Stephan, Benqi Guo, 1990 .

Locking Effects for the Reissner-Mindlin Plate Model

I. Babuska, C. Schwab, M. Suri, 1992 .

Guaranteed a-posteriori error estimation for semi-discrete solutions of parabolic problems based on elliptic reconstruction

I. Babuska, T. Strouboulis, D.L. Wang, 2022, Computer Methods in Applied Mechanics and Engineering.

Guaranteed a posteriori error estimation for fully discrete solutions of parabolic problems

Ivo Babuška, T. Strouboulis, I. Babuska, 2003 .

The boundary layer for p-model plate problems part II. Boundary layer behavior

I. Babuška, I. Babuska, L. Li, 1997 .

Full length article: Direct and inverse approximation theorems for the p-version of the finite element method in the framework of weighted Besov spaces, part III: Inverse approximation theorems

I. Babuska, B. Guo, Ivo Babuška, 2013 .

Finite element analysis of the Girkmann problem using the modern hp-version and the classical h-version

I. Babuska, L. Demkowicz, J. Pitkäranta, 2012, Engineering computations.

The problem of verification with reference to the Girkmann problem

Barna A. Szabó, Ivo Babuska, Juhani Pitkäranta, 2010, Engineering with Computers.

Validation Challenge Workshop

Ivo Babuška, Raul Tempone, Thomas L. Paez, 2008 .

Regularity of the solutions for elliptic problems on nonsmooth domains in ℝ3, Part I: countably normed spaces on polyhedral domains

Ivo Babuška, Benqi Guo, I. Babuska, 1997, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Regularity of the solution of elliptic problems with piecewise analytic data, II: the trace spaces and application to the boundary value problems with nonhomogeneous boundary conditions

Ivo Babuška, B. Q. Guo, I. Babuska, 1989 .

THE CONNECTION BETWEEN THE FINITE DIFFERENCE LIKE METHODS AND THE METHODS BASED ON INITIAL VALUE PROBLEMS FOR ODE

Ivo Babuška, I. Babuska, 1975 .

A cut-cell finite element method for Poisson’s equation on arbitrary planar domains

I. Babuska, P. Papadopoulos, Sushrut Pande, 2021 .