Error estimates and adaptive finite element methods

Gives a bibliographical review of the error estimates and adaptive finite element methods from the theoretical as well as the application point of view. The bibliography at the end contains 2,177 references to papers, conference proceedings and theses/dissertations dealing with the subjects that were published in 1990‐2000.

[1]  K. Surana,et al.  A least squares finite element formulation for plane elasto-statics based on p-version with applications to laminated composites , 1994 .

[2]  Harold Liebowitz,et al.  Computational fracture mechanics: Research and application , 1995 .

[4]  John C. Bruch,et al.  FINITE ELEMENT ADAPTIVE MESH ANALYSIS USING A CLUSTER OF WORKSTATIONS , 1998 .

[5]  H. R. Busby,et al.  An iterative algorithm for adaptive element splitting using transition elements , 1990 .

[6]  Ángel Plaza,et al.  Efficient refinement/derefinement algorithm of nested meshes to solve evolution problems , 1994 .

[7]  Karan S. Surana,et al.  p-Version axisymmetric shell element for geometrically nonlinear analysis , 1993 .

[8]  Walter Wunderlich,et al.  An approach to the adaptive finite element analysis in associated and non-associated plasticity considering localization phenomena , 1999 .

[9]  Mark S. Shephard,et al.  Superconvergent boundary stress extraction and some experiments with adaptive pointwise error control , 1994 .

[10]  Kishore Rama Rao,et al.  Discretization errors in finite methods: issues and possible solutions , 1999 .

[11]  Ivo Babuška,et al.  Basic problems of a posteriori error estimation , 1992 .

[12]  Barna A. Szabó,et al.  Hierarchic models for laminated plates and shells , 1999 .

[13]  Peter Monk,et al.  On the p- and hp-extension of Nédélec's curl-conforming elements , 1994 .

[14]  L. Plank,et al.  Accuracy and adaptivity in the numerical analysis of thin-walled structures , 1990 .

[15]  Jonathan A. Dantzig,et al.  An adaptive mesh refinement scheme for solidification problems , 1996 .

[16]  Duan Mei,et al.  A comparative study on the h-convergence of 4-node and 8-node quadrilateral elements , 1996 .

[17]  P. Carnevali,et al.  Adaptive solution strategy for solving large systems of p‐type finite element equations , 1992 .

[18]  H. R. Busby,et al.  Stress-based convergence analysis for p -adaptive hierarchical finite element analysis , 2000 .

[19]  K. Haghighi,et al.  Adaptive Finite Element Analysis of Transient Thermal Problems , 1994 .

[20]  J. Oden,et al.  Analysis and adaptive modeling of highly heterogeneous elastic structures , 1997 .

[21]  I. Babuska,et al.  The h–p-version of the finite-element method in the plate modelling problem , 1992 .

[22]  Carsten Ebmeyer,et al.  Error Estimates for a Class of Degenerate Parabolic Equations , 1998 .

[23]  Christoph Schwab,et al.  On the posteriori estimation of the modeling error for the heat conduction in a plate and its use for adaptive hierarchical modeling , 1994 .

[24]  Ke Chen.  Two-dimensional adaptive quadrilateral mesh generation , 1994 .

[25]  P. Möller.  High‐order hierarchical A‐ and L‐stable integration methods , 1993 .

[26]  Gwun-Jin Lin.  Adaptive remeshing methods for finite element simulation of composite material processing. , 1994 .

[27]  M. Jirásek.  New stress recovery formula for B-bar methods , 1995 .

[28]  ERROR ESTIMATION AND ADAPTIVITY IN FINITE ELEMENT ANALYSIS OF CONVECTIVE HEAT TRANSFER PROBLEMS, PART I: THEORETICAL CONSIDERATIONS , 1996 .

[29]  R. E. Hobbs,et al.  Automatic adaptive finite element mesh generation over arbitrary two-dimensional domain using advancing front technique , 1999 .

[30]  C. Carstensen.  QUASI-INTERPOLATION AND A POSTERIORI ERROR ANALYSIS IN FINITE ELEMENT METHODS , 1999 .

[31]  L. Hou.  Development of displacement hp-version space-time finite elements with triangular elements , 1992 .

[32]  Ali Kaveh,et al.  Spectral bisection of adaptive finite element meshes for parallel processing , 1999 .

[33]  G. H. Wang,et al.  Node—based dynamic adaptive grid with quadrilateral and hexahedral elements , 1999 .

[34]  K. Surana,et al.  Piecewise hierarchical p-version curved shell element for geometrically nonlinear behavior of laminated composite plates and shells , 1995 .

[35]  M. J. Wheeler,et al.  Application of the zienkiewicz‐zhu error estimator for plate and shell analysis , 1990 .

[36]  Leszek Demkowicz,et al.  An adaptive algorithm for unilateral viscoelastic contact problems for beams and plates , 1992 .

[37]  Charbel Farhat,et al.  A retrofit based methodology for the fast generation and optimization of large-scale mesh partitions: Beyond the minimum interface size criterion , 1996 .

[38]  J. Domínguez,et al.  CALCULATION OF THE STRESS INTENSITY FACTOR AND ESTIMATION OF ITS ERROR BY A SHAPE SENSITIVITY ANALYSIS , 1997 .

[39]  Error estimates for mixed finite element methods for nonlinear parabolic problems , 1992 .

[40]  Dennis D. Giannacopoulos,et al.  Towards optimal h-p adaptation near singularities in finite element electromagnetics , 1994 .

[41]  Rainer Niekamp,et al.  Parallel adaptive finite element computations with hierarchical preconditioning , 1995 .

[42]  M. Koshiba,et al.  Adaptive mesh generation for full-vectorial guided-mode and beam-propagation solutions , 2000, IEEE Journal of Selected Topics in Quantum Electronics.

[43]  N. Wiberg,et al.  Error estimation and adaptivity in elastodynamics , 1992 .

[44]  A. Craig.  HIERARCHICAL OR DOMAIN DECOMPOSITION PRECONDITIONING FOR THE P-VERSION FINITE ELEMENT METHOD , 1991 .

[45]  E. Hinton,et al.  Edge effects in Mindlin—Reissner plates using adaptive mesh refinement , 1990 .

[46]  An adaptive node-moving algorithm for evolution type problems , 1992 .

[47]  S. Perotto,et al.  Adaptive finite element methods for Boussinesq equations , 2000 .

[48]  Gouri Dhatt,et al.  A simple, adaptable 2D mesh generation package , 1994 .

[49]  W. Dörfler.  A convergent adaptive algorithm for Poisson's equation , 1996 .

[50]  John M. Sullivan,et al.  Adaptive mesh generation using a normal offsetting technique , 1997 .

[51]  J.-P. Pelle,et al.  A posteriori error estimation for unilateral contact with matching and non-matching meshes , 2000 .

[52]  J. Jarvis,et al.  An investigation of the implementation of the p -version finite element method , 1996 .

[53]  L. Cherfils.  A parallel and adaptive continuation method for semilinear bifurcation problems , 1998 .

[54]  Ivo Babuška,et al.  Performance of the h–p version of the finite element method with various elements , 1993 .

[55]  A. Raizer,et al.  Optimal meshes and h-p adaptivity , 1997 .

[56]  P. Trouvé,et al.  On the convergence of a discrete Kirchhoff triangle method valid for shells of arbitrary shape , 1994 .

[57]  Timothy G. Trucano,et al.  Recent progress in ALEGRA development and application to ballistic impacts , 1996 .

[58]  P. Carnevali,et al.  New basis functions and computational procedures for p‐version finite element analysis , 1993 .

[59]  On the convergence rate of an adaptive grid pattern for resolving point singularities in elliptic problems , 1992 .

[60]  J. Z. Zhu,et al.  The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique , 1992 .

[61]  T. Dupont,et al.  A Priori Estimates for Mixed Finite Element Approximations of Second Order Hyperbolic Equations with , 1996 .

[62]  Sonia M. F. Garcia.  Improved error estimates for mixed finite‐element approximations for nonlinear parabolic equations: The continuous‐time case , 1994 .

[63]  Y Kim,et al.  Sensitivity of transvenous defibrillation models to adaptive mesh density and resolution: the potential for interactive solution times. , 1997, International journal of medical informatics.

[64]  Ralf Kornhuber,et al.  A posteriori error estimates for elliptic variational inequalities , 1996 .

[65]  C. Schwab,et al.  Analysis of Membrane Locking in hp FEM for a Cylindrical Shell , 1998 .

[66]  Ekkehard Ramm,et al.  Local and global error estimations in linear structural dynamics , 2000 .

[67]  Further Tests on the Derivative Recovery Technique and a Posteriori Error Estimator , 1991 .

[68]  Mario A. Casarin,et al.  Timely Communication: Diagonal Edge Preconditioners in p-version and Spectral Element Methods , 1997, SIAM J. Sci. Comput..

[69]  Mark S. Shephard,et al.  Automatic Mesh Generator for Use in Two‐Dimensional h‐p Analysis , 1990 .

[70]  Jang-Keun Lim,et al.  Modified r-method for the finite element adaptive analysis of plane elastic problems , 1996 .

[71]  T. Dupont,et al.  A Priori Estimates for Mixed Finite Element Methods for the Wave Equation , 1990 .

[72]  Joseph E. Flaherty,et al.  a posteriori Error estimation for triangular and tetrahedral quadratic elements using interior residuals , 1992 .

[73]  Nils-Erik Wiberg.  On understanding and teaching of the finite element method , 1995 .

[74]  Jacob Fish,et al.  Recent advances in the p-version of the finite element method for shells , 1995 .

[75]  M. Ortiz,et al.  Modelling and simulation of high-speed machining , 1995 .

[76]  Harold Liebowitz,et al.  Examples of adaptive FEA in plasticity , 1995 .

[77]  E. A. W. Maunder,et al.  Adaptive methods for hybrid equilibrium finite element models , 1999 .

[78]  Jianqiao Ye.  Error bounds on the eigenvalues of a linearized dynamic stiffness matrix , 1998 .

[79]  Douglas N. Arnold,et al.  Tetrahedral Bisection and Adaptive Finite Elements , 1999 .

[80]  A weighted element patch based superconvergent stress extraction strategy , 1998 .

[81]  I. Babuska,et al.  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 , 1994 .

[82]  Mitchell Luskin,et al.  Optimal order error estimates for the finite element approximation of the solution of a nonconvex variational problem , 1991 .

[83]  Heung-Jin Chung,et al.  An Adaptive Control of Spatial-Temporal Discretization Error in Finite Element Analysis of Dynamic Problems , 1996 .

[85]  A. Suleman.  Adaptive composites modelling and application in panel flutter and noise suppression , 2000 .

[86]  Andreas Prohl,et al.  AN ADAPTIVE FINITE ELEMENT METHOD FOR SOLVING A DOUBLE WELL PROBLEM DESCRIBING CRYSTALLINE MICROSTRUCTURE , 1999 .

[87]  Hideomi Ohtsubo,et al.  Element by element a posteriori error estimation and improvement of stress solutions for two‐dimensional elastic problems , 1990 .

[88]  J. Hugger,et al.  Recovery and few parameter representation of the optimal mesh density function for near optimal finite element meshes , 1993 .

[89]  Mark T. Jones,et al.  Parallel Algorithms for Adaptive Mesh Refinement , 1997, SIAM J. Sci. Comput..

[90]  Ivo Babuška,et al.  Analysis of the efficiency of an a posteriori error estimator for linear triangular finite elements , 1992 .

[91]  J. T. Oden,et al.  A posteriori error estimation of h-p finite element approximations of frictional contact problems , 1994 .

[92]  O. Zienkiewicz,et al.  The finite element patch test revisited a computer test for convergence, validation and error estimates , 1997 .

[93]  Rüdiger Verfürth,et al.  A posteriori error estimation and adaptive mesh-refinement techniques , 1994 .

[94]  Mark Ainsworth,et al.  A posteriori error estimators for second order elliptic systems part 2. An optimal order process for calculating self-equilibrating fluxes , 1993 .

[95]  A. Chambarel,et al.  HIGH-PRECISION NUMERICAL SIMULATION WITH AUTOADAPTATIVE GRID TECHNIQUE IN NONLINEAR THERMAL DIFFUSION , 1992 .

[96]  H. Ronald Riggs,et al.  An improved variational method for finite element stress recovery and a posteriori error estimation , 1998 .

[97]  M. Ortiz,et al.  An adaptive finite element approach to atomic-scale mechanics—the quasicontinuum method , 1997, cond-mat/9710027.

[98]  K. Balasubramaniam,et al.  Adaptive hp-finite element for transient analysis , 1994 .

[99]  L. Demkowicz,et al.  De Rham diagram for hp finite element spaces , 2000 .

[100]  E. Leitner,et al.  Three-Dimensional Grid Adaptation Using a Mixed-Element Decomposition Method , 1995 .

[101]  Bernhard A. Schrefler,et al.  On recovery of stresses for a multi-layered beam element , 1993 .

[102]  K. Surana,et al.  Piecewise hierarchical p-version axisymmetric shell element for geometrically nonlinear behavior of laminated composites , 1995 .

[103]  Josep Sarrate,et al.  A POSTERIORI FINITE ELEMENT ERROR BOUNDS FOR NON-LINEAR OUTPUTS OF THE HELMHOLTZ EQUATION , 1999 .

[104]  Anne Habraken,et al.  Automatic adaptive remeshing for numerical simulations of metal forming , 1992 .

[105]  I. Babuska,et al.  Computational aspects and adaptive solution methods in the finite element method for non-linear, parametrized problems , 1990 .

[106]  T. Sundararajan,et al.  AN ADAPTIVE HP-VERSION OF THE FINITE ELEMENT METHOD APPLIED TO FLAME PROPAGATION PROBLEMS , 1997 .

[107]  Xunlei Jiang,et al.  A P 1 - P 1 Finite Element Method for a Phase Relaxation Model II: Adaptively Refined Meshes , 1999 .

[108]  Leszek Demkowicz,et al.  Adaptive finite element methods for hyperbolic systems with application to transient acoustics , 1991 .

[109]  David R. Oakley,et al.  Adaptive dynamic relaxation algorithm for non-linear hyperelastic structures Part III. Parallel implementation , 1995 .

[110]  T. Strouboulis,et al.  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 , 2000 .

[111]  N. Wiberg,et al.  Adaptive h-p procedures for high accuracy finite element analysis of two dimensional linear elastic problems , 1992 .

[112]  Jinn-Liang Liu,et al.  A posteriori finite element error analysis for symmetric positive differential equations , 1999 .

[113]  Robert D. Cook,et al.  Bucking analysis: alternative formulations, error estimation, and adaptive meshing , 1992 .

[114]  Mustafa Özakça,et al.  Adaptive analysis of thin shells using facet elements , 1991 .

[115]  Bernardo Cockburn,et al.  Error estimates for finite element methods for scalar conservation laws , 1996 .

[116]  I. Babuska,et al.  The Partition of Unity Method , 1997 .

[117]  P. Ruge,et al.  A priori local error estimation with adaptive time-stepping , 1999 .

[118]  J. R. Brauer,et al.  Adaptive time-stepping in nonlinear transient electromagnetic finite element analysis , 1997 .

[119]  Z. Yosibash,et al.  THE p-VERSION OF THE FINITE ELEMENT METHOD IN INCREMENTAL ELASTO-PLASTIC ANALYSIS , 1993 .

[120]  John W. Barrett,et al.  Finite element approximation of the parabolic p -Laplacian , 1994 .

[121]  O. C. Zienkiewicz,et al.  The superconvergent patch recovery (SPR) and adaptive finite element refinement , 1992 .

[122]  J. W. Scott.  Errors due to spatial discretization and numerical precision in the finite-element method , 1994 .

[123]  D. Pelletier,et al.  AN ADAPTIVE FINITE ELEMENT METHOD FOR FORCED CONVECTION , 1997 .

[124]  Y. Q. Tang,et al.  An adaptive finite element computation of h-p version for magnetic field problems , 1994 .

[125]  Dietrich Braess,et al.  A Posteriori Error Estimators for the Raviart--Thomas Element , 1996 .

[126]  J. P. Smith.  Buckling of shear deformable plates using the p-version of the finite element method , 1995 .

[127]  Ian R. Grosse,et al.  Finite element error estimation for crack tip singular elements , 1993 .

[128]  A. A. Rogovoy.  The stress recovery procedure for the finite element method , 1997 .

[129]  N. Troyani.  NONLINEAR GEOMETRICALLY ADAPTIVE FINITE ELEMENT MODEL OF THE COILBOX , 1996 .

[130]  K. Surana,et al.  Curved shell elements for elastostatics with p-version in the thickness direction , 1990 .

[131]  R. S. Falk.  Nonconforming finite element methods for the equations of linear elasticity , 1991 .

[132]  Rainald Löhner,et al.  Three-dimensional fluid-structure interaction using a finite element solver and adaptive remeshing , 1990 .

[133]  Hideomi Ohtsubo,et al.  Elementwise A Posteriori Error Estimation of Finite Element Solutins for Three-Dimensional Elastic Proflems and Plate Bending Problems. , 1991 .

[134]  The equilibrium method for local, a posteriori, pointwise estimation of the finite element error , 1997 .

[135]  Ricardo G. Durán,et al.  On the asymptotic exactness of error estimators for linear triangular finite elements , 1991 .

[136]  On the post-processing techniques for elastoplastic axisymmetrical problems , 1999 .

[137]  H-version adaptive finite element method using edge element for 3D non-linear magnetostatic problems , 1996 .

[138]  James C. Robinson,et al.  P-ADAPTIVITY IN THE TIME DOMAIN USING MVPQ MULTIVALUE TIME-MARCHING INTEGRATORS , 1997 .

[139]  Barbara I. Wohlmuth,et al.  A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements , 1999, Math. Comput..

[140]  A Posteriori Error Control and Mesh Adaptation for FE models in Elasticity and Elasto-Plasticity , 1998 .

[141]  Roland W. Lewis,et al.  A finite element analysis of fire-resisting cabinets using an adaptive remeshing technique , 1991 .

[142]  E. Thornton,et al.  Adaptive finite element analysis of hypersonic laminar flows for aerothermal load predictions , 1991 .

[143]  Juan José Ródenas,et al.  EXTENSION OF THE ZIENKIEWICZ–ZHU ERROR ESTIMATOR TO SHAPE SENSITIVITY ANALYSIS , 1997 .

[144]  Michael Ortiz,et al.  Adaptive mesh refinement in strain localization problems , 1991 .

[145]  Karan S. Surana,et al.  p-Version hierarchical two dimensional curved beam element for elastostatics , 1990 .

[146]  Ivo Babuška,et al.  The p - and h-p version of the finite element method, an overview , 1990 .

[147]  A. J. Morris,et al.  Consistent finite element structural analysis and error control , 1997 .

[148]  R. Martone,et al.  Integral boundary conditions in FEM approaches with the minimization of constitutive error , 1998 .

[149]  H. R. Riggs,et al.  C1-Continuous stress recovery in finite element analysis , 1997 .

[150]  Gerd Kunert,et al.  A posteriori error estimation for anisotropic tetrahedral and triangular finite element meshes , 1999 .

[151]  T. Strouboulis,et al.  Recent experiences with error estimation and adaptivity. Part I: Review of error estimators for scalar elliptic problems , 1992 .

[152]  O. C. Zienkiewicz,et al.  Achievements and some unsolved problems of the finite element method , 2000 .

[153]  Chang-Koon Choi,et al.  An adaptive h‐refinement using transition element for plate bending problems , 1992 .

[154]  P. Bar-Yoseph,et al.  Towards adaptive mesh refinement: Application of new rectangular hybrid finite elements in 2D elasticity problems , 1990 .

[155]  A. Kost,et al.  Universal generation of an initial mesh for adaptive 3-D finite element method , 1992 .

[156]  Jan Mandel,et al.  Domain decomposition preconditioning for p-version finite elements with high aspect rations , 1991 .

[158]  J. Padovan,et al.  Moving template analysis of crack growth—II. Multiple crack extension and benchmarking , 1994 .

[159]  Yeh-Ching Chung,et al.  A parallel dynamic load-balancing algorithm for solution-adaptive finite element meshes on 2D tori , 1995, Concurr. Pract. Exp..

[160]  John R. Rice,et al.  On grid refinement at point singularities for h-p methods , 1992 .

[161]  J. T. Oden,et al.  A priori modeling error estimates of hierarchical models for elasticity problems for plate- and shell-like structures , 1996 .

[162]  Lutz Angermann,et al.  Error estimates for the finite-element solution of an elliptic singularly perturbed problem , 1995 .

[163]  I. Babuška,et al.  The boundary layer for p-model plate problems part II. Boundary layer behavior , 1997 .

[164]  Chi King Lee,et al.  Automatic adaptive mesh generation using metric advancing front approach , 1999 .

[165]  Randolph E. Bank,et al.  A posteriori error estimates based on hierarchical bases , 1993 .

[166]  Guimarães Santos,et al.  A posteriori estimators for nonlinear elliptic partial differential equations , 1999 .

[167]  John O. Dow,et al.  Submodeling approach to adaptive mesh refinement , 1995 .

[168]  Husain Abbas,et al.  Prediction of error in finite element results , 1996 .

[169]  Ian H. Sloan,et al.  LOCAL ERROR BOUNDS FOR POST-PROCESSED FINITE ELEMENT CALCULATIONS , 1999 .

[170]  Somnath Ghosh,et al.  R-S Adapted Arbitrary Lagrangian-Eulerian Finite Element Method for Metal-Forming Problems with Strain Localization , 1996 .

[171]  Mark T. Jones,et al.  Adaptive refinement of unstructured finite-element meshes , 1997 .

[172]  N. Golias,et al.  3-D eddy-current computation with a self-adaptive refinement technique , 1995 .

[173]  Kenneth Eriksson,et al.  AN ADAPTIVE FINITE ELEMENT METHOD WITH EFFICIENT MAXIMUM NORM ERROR CONTROL FOR ELLIPTIC PROBLEMS , 1994 .

[174]  P. Ladevèze,et al.  ERROR ESTIMATION AND ADAPTIVITY IN ELASTOPLASTICITY , 1996 .

[175]  Bijan Boroomand,et al.  RECOVERY BY EQUILIBRIUM IN PATCHES (REP) , 1997 .

[176]  C. Krishnamoorthy,et al.  A pollution controlled hybrid interior error estimator for linear elastostatics , 1998 .

[177]  R. Durán,et al.  A posteriori error estimators for nonconforming finite element methods , 1996 .

[178]  昇 菊池,et al.  アダプティブ法による有限要素自動分割 : 第3報, h-法での誤差測度と要素寸法の関係及び収束状況 , 1992 .

[179]  Mark Ainsworth.  Identification and a posteriori estimation of transported errors in finite element analysis , 1999 .

[180]  Weizhu Bao,et al.  Error Estimates for the Finite Element Approximation of Problems in Unbounded Domains , 2000, SIAM J. Numer. Anal..

[181]  F. Bornemann,et al.  Adaptive multivlevel methods in three space dimensions , 1993 .

[182]  Chi King Lee,et al.  An automatic adaptive refinement procedure using triangular and quadrilateral meshes , 1995 .

[183]  Ernst Rank,et al.  An implementation of the hp‐version of the finite element method for Reissner‐Mindlin plate problems , 1990 .

[184]  Pierre Ladevèze,et al.  An automatic procedure with a control of accuracy for finite element analysis in 2D elasticity , 1995 .

[185]  Ivo Babuška,et al.  The p -version of the finite element method for the elliptic boundary value problems with interfaces , 1992 .

[186]  L. Scriven,et al.  Adaptive finite element analysis of axisymmetric freezing , 1992 .

[187]  Weiming Cao,et al.  Preconditioning on Element Interfaces for the p-Version Finite Element Method and Spectral Element Method , 1999, SIAM J. Sci. Comput..

[188]  Barry Hilary Valentine Topping,et al.  A new element bisection algorithm for unstructured adaptive tetrahedral mesh generation , 1998 .

[189]  Built-in field equations for recovery procedures , 1997 .

[190]  Z. Warsi,et al.  Application of variational methods in the fixed and adaptive grid generation , 1990 .

[191]  Joseph E. Flaherty,et al.  Parallel adaptive mesh refinement and redistribution on distributed memory computers , 1994 .

[192]  Wang Lie-heng.  On the duality methods for the contact problem in elasticity , 1998 .

[193]  Alf Samuelsson,et al.  A note on the effectivity of the Zienkiewicz-Zhu error estimate and two 2D adaptive mesh generators , 1993 .

[194]  A new h-formulation for nonlinear magnetostatics in R/sup 3/ , 1994 .

[195]  Simon Shaw,et al.  Negative norm error control for second-kind convolution Volterra equations , 2000, Numerische Mathematik.

[196]  R. E. Hobbs,et al.  On using different finite elements with an automatic adaptive refinement procedure for the solution of 2‐D stress analysis problems , 1997 .

[197]  R L Spilker,et al.  Finite element methods for the biomechanics of soft hydrated tissues: nonlinear analysis and adaptive control of meshes. , 1992, Critical reviews in biomedical engineering.

[198]  R. de Borst,et al.  An algorithm for mesh rezoning with application to strain localization problems , 1995 .

[199]  A. Selman,et al.  Multi-mesh and adaptivity in 3D shape optimization , 1996 .

[200]  N. S. Bardell,et al.  Free vibration analysis of thin coplanar rectangular plate assemblies — Part I: theory, and initial results for specially orthotropic plates , 1996 .

[201]  C. Lee,et al.  An automatic adaptive refinement finite element procedure for 2D elastostatic analysis , 1992 .

[202]  Manil Suri.  On the robustness of the h - and p -versions of the finite-element method , 1991 .

[203]  Rodolfo Rodríguez.  A Posteriori Error Analysis in the Finite Element Method , 1994 .

[204]  S. McFee,et al.  Automatic Mesh Generation for h-p Adaption , 1992, Digest of the Fifth Biennial IEEE Conference on Electromagnetic Field Computation.

[205]  Thomas Apel,et al.  Graded Mesh Refinement and Error Estimates for Finite Element Solutions of Elliptic Boundary Value P , 1996 .

[206]  J. Flaherty,et al.  Parallel, adaptive finite element methods for conservation laws , 1994 .

[207]  S. Diao,et al.  Nonlinear analysis of thick plates on an elastic foundation by HT FE with p-extension capabilities , 1996 .

[208]  Y. C. Liu,et al.  Assessment of discretized errors and adaptive refinement with quadrilateral finite elements , 1992 .

[209]  Christoph Schwab,et al.  A-posteriori modeling error estimation for hierarchic plate models , 1996 .

[210]  T. Strouboulis,et al.  Recent experiences with error estimation and adaptivity, part II: Error estimation for h -adaptive approximations on grids of triangles and quadrilaterals , 1992 .

[211]  Alfonso Hernández,et al.  An adaptive procedure for the finite element computation of non‐linear structural problems , 1999 .

[212]  Superconvergent recovery of gradients of piecewise linear finite element approximations on non‐uniform mesh partitions , 1998 .

[213]  Ning Hu,et al.  Bounds for eigenvalues and condition numbers in the p-version of the finite element method , 1998, Math. Comput..

[214]  P. Ladevèze,et al.  Constitutive relation error estimator for transient finite element analysis , 1999 .

[215]  Robert J. Lee,et al.  An a posteriori error reduction scheme for the three-dimensional finite element solution of Maxwell's equations , 1995 .

[216]  G. Henneberger,et al.  Sensitivity analysis of the nodal position in the adaptive refinement of finite element meshes , 1990 .

[217]  A 'local field error problem' approach for error estimation in finite element analysis , 1992 .

[218]  Pierre Ladevèze,et al.  Local error estimators for finite element linear analysis , 1999 .

[219]  Yimin Zhu,et al.  A Parallel Implementation of the p-Version of the Finite Element Method , 1996, SIAM J. Sci. Comput..

[220]  Barna A. Szabó,et al.  Nonlinear models for fastened structural connections , 1992 .

[221]  Rolf Rannacher,et al.  Error analysis for the finite element approximation of a radiative transfer model , 1996 .

[222]  Kent L. Lawrence,et al.  A study of adaptively remeshed finite element problems using higher order tetrahedra , 1995 .

[223]  Jan Mandel,et al.  Iterative methods for p-version finite elements: preconditioning thin solids , 1996 .

[224]  A. Kost,et al.  Error estimation and adaptive mesh generation in the 2D and 3D finite element method , 1996 .

[225]  Christoph Schwab,et al.  The p and hp versions of the finite element method for problems with boundary layers , 1996, Math. Comput..

[226]  Ming‐Lien Cheng,et al.  A parallel run-time iterative load balancing algorithm for solution-adaptive finite element meshes on hypercubes , 1996 .

[227]  J. Thesken,et al.  TENSILE IMPACT DELAMINATION OF A CROSS-PLY INTERFACE STUDIED BY MOIRÉ PHOTOGRAPHY , 1995 .

[228]  R. E. Hobbs,et al.  Automatic adaptive refinement for shell analysis using nine-node assumed strain element , 1997 .

[229]  Spencer J. Sherwin,et al.  Hierarchical hp finite elements in hybrid domains , 1997 .

[230]  Weiming Cao,et al.  Domain decomposition method for the h-p version finite element method , 1998 .

[231]  Chang Whie,et al.  An adaptive remeshing method in the simulation of Resin Transfer Molding (RTM) process , 1994 .

[232]  Frédéric Noël,et al.  A NEW APPROACH TO FREE-FORM SURFACE MESH CONTROL IN A CAD ENVIRONMENT , 1995 .

[233]  K. Surana,et al.  Hierarchical three dimensional curved beam element based on p-version , 1991 .

[234]  Eun-Jae Park,et al.  The P‐version of the mixed‐finite element method for nonlinear second‐order elliptic problems , 1996 .

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