Jay Gopalakrishnan

发表

An efficient method for band structure calculations in 3D photonic crystals

J. Pasciak, D. Dobson, Jay Gopalakrishnan, 1999 .

A class of discontinuous Petrov-Galerkin methods. Part III

Leszek Demkowicz, Antti H. Niemi, Jay Gopalakrishnan, 2012 .

A Mathematical Model for Irrigated Epicardial Radiofrequency Ablation

Jay Gopalakrishnan, 2002, Annals of Biomedical Engineering.

A Second Elasticity Element Using the Matrix Bubble

Jay Gopalakrishnan, J. Guzmán, 2012 .

Integration of hp-adaptivity and a two grid solver for electromagnetic problems

L. Demkowicz, Jay Gopalakrishnan, David Pardo, 2006 .

A Schwarz Preconditioner for a Hybridized Mixed Method

Jay Gopalakrishnan, Jayadeep Gopalakrishnan, 2003 .

Multigrid for an HDG method

Bernardo Cockburn, Jay Gopalakrishnan, O. Dubois, 2013, IMA Journal of Numerical Analysis.

Nédélec spaces in affine coordinates

Leszek Demkowicz, Jay Gopalakrishnan, L. Demkowicz, 2005 .

Quasioptimality of some spectral mixed methods

Leszek Demkowicz, L. Demkowicz, Jay Gopalakrishnan, 2004 .

Wavenumber Explicit Analysis of a DPG Method for the Multidimensional Helmholtz Equation

Leszek Demkowicz, Jay Gopalakrishnan, Ignacio Muga, 2011 .

Degree and Wavenumber [In]dependence of Schwarz Preconditioner for the DPG Method

Joachim Schöberl, Jay Gopalakrishnan, Jay Gopalakrishnan, 2015 .

An Overview of the Discontinuous Petrov Galerkin Method

Leszek Demkowicz, Jay Gopalakrishnan, L. Demkowicz, 2014 .

DISPERSIVE PROPERTIES OF DPG METHODS FOR ACOUSTICS

Jay Gopalakrishnan, I. Muga, Nicole Olivares, 2013 .

ICES REPORT 15-20 October 2015 Discontinuous Petrov-Galerkin ( DPG ) Method

Leszek Demkowicz, Jay Gopalakrishnan, L. Demkowicz, .

A Class of Discontinuous Petrov–Galerkin Methods. Part I: The Transport Equation

Leszek Demkowicz, Jay Gopalakrishnan, L. Demkowicz, 2010 .

A class of discontinuous Petrov-Galerkin methods. Part IV: Wave propagation

Victor M. Calo, Leszek Demkowicz, David Pardo, 2011 .

A class of discontinuous Petrov–Galerkin methods. II. Optimal test functions

Leszek Demkowicz, Jay Gopalakrishnan, L. Demkowicz, 2011 .

Simulation of optical fiber amplifier gain using equivalent short fibers

Jay Gopalakrishnan, Jacob Grosek, Dow Drake, 2019, Computer Methods in Applied Mechanics and Engineering.

Workshop: Computational Engineering Table of Contents

S. C. Brenner, L. Demkowicz, Jay Gopalakrishnan, 2016 .

Convergence analysis of a multigrid algorithm for the acoustic single layer equation

Jay Gopalakrishnan, N. Nigam, S. Gemmrich, 2012, 1202.6083.

ICES REPORT 18-18 September 2018 The DPG-Star Method

Jay Gopalakrishnan, B. Keith, L. Demkowicz, 2022 .

A spacetime DPG method for acoustic waves

Jay Gopalakrishnan, Paulina Sepúlveda, 2017 .

A CLASS OF DISCONTINUOUS PETROV-GALERKIN METHODS. PART II: OPTIMAL TEST FUNCTIONS

Jay Gopalakrishnan, 2009 .

A Scalable Preconditioner for a Primal DPG Method

Jay Gopalakrishnan, T. Kolev, A. Barker, 2017 .

Filtered Subspace Iteration for Selfadjoint Operators

Jeffrey S. Ovall, Jay Gopalakrishnan, J. Ovall, 2017 .

Asymptotic and Numerical Techniques for Resonances of Thin

F. Santosa, Jay Gopalakrishnan, S. Moskow, 2008 .

The DPG-starmethod

L. Demkowicz, Jay Gopalakrishnan, B. Keith, 2020 .

Divergence-conforming velocity and vorticity approximations for incompressible fluids obtained with minimal inter-element coupling

Jay Gopalakrishnan, J. Schoberl, P. Lederer, 2021, 2112.00089.

Mathematical model for bone mineralization

Jay Gopalakrishnan, M. McKee, S. Komarova, 2015, Front. Cell Dev. Biol..

Minimal order H(div)-conforming velocity-vorticity approximations for incompressible fluids

Jay Gopalakrishnan, J. Schoberl, P. Lederer, 2021, ArXiv.

A Posteriori Error Control for DPG Methods

Carsten Carstensen, Leszek F. Demkowicz, Jayadeep Gopalakrishnan, 2014, SIAM J. Numer. Anal..

Nonnegativity of exact and numerical solutions of some chemotactic models

Jay Gopalakrishnan, Patrick De Leenheer, Erica Zuhr, 2013, Comput. Math. Appl..

Hybridization and Postprocessing Techniques for Mixed Eigenfunctions

F. Li, Bernardo Cockburn, Ngoc Cuong Nguyen, 2010, SIAM J. Numer. Anal..

A convergent multigrid cycle for the hybridized mixed method

Jayadeep Gopalakrishnan, Shuguang Tan, Jay Gopalakrishnan, 2009, Numer. Linear Algebra Appl..

Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems

Raytcho D. Lazarov, Bernardo Cockburn, Jayadeep Gopalakrishnan, 2009, SIAM J. Numer. Anal..

Polynomial extension operators. Part III

Joachim Schöberl, Leszek F. Demkowicz, Jayadeep Gopalakrishnan, 2012, Math. Comput..

Partial expansion of a Lipschitz domain and some applications

Weifeng Qiu, Jay Gopalakrishnan, Jay Gopalakrishnan, 2011, Frontiers of Mathematics in China.

Polynomial Extension Operators. Part II

Joachim Schöberl, Leszek F. Demkowicz, Jayadeep Gopalakrishnan, 2009, SIAM J. Numer. Anal..

Mapped Tent Pitching Schemes for Hyperbolic Systems

Joachim Schöberl, Christoph Wintersteiger, Jayadeep Gopalakrishnan, 2016, SIAM J. Sci. Comput..

The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations

Joseph E. Pasciak, Jayadeep Gopalakrishnan, J. Pasciak, 2006, Math. Comput..

The Auxiliary Space Preconditioner for the de Rham Complex

Panayot S. Vassilevski, Martin Neumüller, Jay Gopalakrishnan, 2017, SIAM J. Numer. Anal..

A CLASS OF DISCONTINUOUS PETROV-GALERKIN METHODS. PART II: OPTIMAL TEST FUNCTIONS

Jay Gopalakrishnan, 2009 .

Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity

Jay Gopalakrishnan, Johnny Guzmán, Jay Gopalakrishnan, 2011, SIAM J. Numer. Anal..

Determination of the electric field intensity and space charge density versus height prior to triggered lightning

V. Rakov, Jay Gopalakrishnan, M. Uman, 2011 .

Mixed finite element approximation of the vector Laplacian with Dirichlet boundary conditions

Douglas N. Arnold, Richard S. Falk, Jay Gopalakrishnan, 2011, 1109.3668.

Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations

Joseph E. Pasciak, Leszek F. Demkowicz, Jayadeep Gopalakrishnan, 2004, SIAM J. Numer. Anal..

Hybridization and Postprocessing Techniques for

Bernardo Cockburn, Jay Gopalakrishnan, N. Nguyen, 2010 .

DPG* Method

L. Demkowicz, Jay Gopalakrishnan, B. Keith, 2017, 1710.05223.

A Hybridized Discontinuous Petrov-Galerkin Method for Compresible Flows

Ngoc Cuong Nguyen, Jaime Peraire, Jay Gopalakrishnan, 2011 .

A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems

Bernardo Cockburn, Jayadeep Gopalakrishnan, Bernardo Cockburn, 2004, SIAM J. Numer. Anal..

The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow

Bernardo Cockburn, Jayadeep Gopalakrishnan, Bernardo Cockburn, 2009, SIAM J. Numer. Anal..

A multilevel discontinuous Galerkin method

Guido Kanschat, Jay Gopalakrishnan, Jay Gopalakrishnan, 2003, Numerische Mathematik.

A multilevel discontinuous Galerkin method

Guido Kanschat, Jay Gopalakrishnan, Jay Gopalakrishnan, 2003, Numerische Mathematik.

Recent Advances in Least-Squares and Discontinuous Petrov–Galerkin Finite Element Methods

Norbert Heuer, Leszek Demkowicz, Fleurianne Bertrand, 2019, Comput. Methods Appl. Math..

New hybridization techniques

Bernardo Cockburn, Jayadeep Gopalakrishnan, Bernardo Cockburn, 2005 .

Incompressible Finite Elements via Hybridization. Part I: The Stokes System in Two Space Dimensions

Bernardo Cockburn, Jayadeep Gopalakrishnan, Bernardo Cockburn, 2005, SIAM J. Numer. Anal..

Error analysis of variable degree mixed methods for elliptic problems via hybridization

Bernardo Cockburn, Jayadeep Gopalakrishnan, Bernardo Cockburn, 2005, Math. Comput..

Incompressible Finite Elements via Hybridization. Part II: The Stokes System in Three Space Dimensions

Bernardo Cockburn, Jayadeep Gopalakrishnan, Bernardo Cockburn, 2005, SIAM J. Numer. Anal..

A new elasticity element made for enforcing weak stress symmetry

Bernardo Cockburn, Johnny Guzmán, Jayadeep Gopalakrishnan, 2010, Math. Comput..

A Spacetime DPG Method for the Wave Equation in Multiple Dimensions

Jay Gopalakrishnan, Jay Gopalakrishnan, Paulina Sepulveda, 2017, 1709.08268.

Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations

Joseph E. Pasciak, Jayadeep Gopalakrishnan, J. Pasciak, 2003, Math. Comput..

Analysis of FEAST Spectral Approximations Using the DPG Discretization

Luka Grubisic, Jeffrey S. Ovall, Jay Gopalakrishnan, 2019, Comput. Methods Appl. Math..

Multigrid in a weighted space arising from axisymmetric electromagnetics

Minah Oh, Jayadeep Gopalakrishnan, Dylan M. Copeland, 2010, Math. Comput..

Multigrid Convergence for Second Order Elliptic Problems with Smooth Complex Coefficients

J. Pasciak, Jay Gopalakrishnan, 2008 .

Multigrid for the Mortar Finite Element Method

Joseph E. Pasciak, Jayadeep Gopalakrishnan, J. Pasciak, 2000, SIAM J. Numer. Anal..

A mixed method for axisymmetric div-curl systems

Joseph E. Pasciak, Jayadeep Gopalakrishnan, Dylan M. Copeland, 2008, Math. Comput..

Dispersive and Dissipative Errors in the DPG Method with Scaled Norms for Helmholtz Equation

Ignacio Muga, Jayadeep Gopalakrishnan, Nicole Olivares, 2013, SIAM J. Sci. Comput..

A Spacetime DPG Method for the Schrödinger Equation

Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Paulina Sepúlveda, 2016, SIAM J. Numer. Anal..

A Mass Conserving Mixed Stress Formulation for Stokes Flow with Weakly Imposed Stress Symmetry

Joachim Schöberl, Jay Gopalakrishnan, Philip L. Lederer, 2019, SIAM J. Numer. Anal..

Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems

Jay Gopalakrishnan, P. Vandenberge, Benjamin Parker, 2021, Wave Motion.

Convergence analysis of some tent-based schemes for linear hyperbolic systems pdf

Joachim Schöberl, Jay Gopalakrishnan, Dow Drake, 2021, Math. Comput..

A tent pitching scheme motivated by Friedrichs theory

Peter Monk, Jay Gopalakrishnan, Paulina Sepúlveda, 2015, Comput. Math. Appl..

SARS‐CoV‐2 targets neurons of 3D human brain organoids

Jay Gopalakrishnan, A. Dilthey, H. Omran, 2020, The EMBO journal.

Emerging principles of primary cilia dynamics in controlling tissue organization and function

Jay Gopalakrishnan, R. Müller, B. Schermer, 2023, The EMBO journal.

A class of discontinuous Petrov-Galerkin methods. Part III

L. Demkowicz, L. Demkowicz, Jay Gopalakrishnan, 2012 .

A class of discontinuous Petrov-Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D

Victor M. Calo, David Pardo, Leszek F. Demkowicz, 2011, J. Comput. Phys..

Locally Conservative Fluxes for the Continuous Galerkin Method

Haiying Wang, Bernardo Cockburn, Jayadeep Gopalakrishnan, 2007, SIAM J. Numer. Anal..

BRI-FY 13-Ultra-Scalable Algorithms for Large-scale Uncertainty Quantification

O. Ghattas, L. Demkowicz, Jay Gopalakrishnan, 2016 .

An analysis of the practical DPG method

Weifeng Qiu, Jay Gopalakrishnan, Jay Gopalakrishnan, 2011, Math. Comput..

Asymptotic and Numerical Techniques for Resonances of Thin Photonic Structures

Fadil Santosa, Jay Gopalakrishnan, Shari Moskow, 2008, SIAM J. Appl. Math..

A mass conserving mixed stress formulation for the Stokes equations

Jay Gopalakrishnan, J. Schoberl, P. Lederer, 2018, IMA Journal of Numerical Analysis.

Dispersion Analysis of HDG Methods

Jay Gopalakrishnan, Manuel Solano, Felipe Vargas, 2018, J. Sci. Comput..

The Performance of a Multigrid Algorithm for the Acoustic Single Layer Equation

Nilima Nigam, Jay Gopalakrishnan, Simon Gemmrich, 2008 .

Commuting Smoothed Projectors in Weighted Norms with an Application to Axisymmetric Maxwell Equations

Jay Gopalakrishnan, Minah Oh, Jay Gopalakrishnan, 2011, Journal of Scientific Computing.

Computers and Mathematics with Applications Nonnegativity of Exact and Numerical Solutions of Some Chemotactic Models

Jay Gopalakrishnan, P. Leenheer, E. Zuhr, 2022 .

Instability in a generalized Keller–Segel model

Jay Gopalakrishnan, Erica Zuhr, Jay Gopalakrishnan, 2011, Journal of biological dynamics.

Spectral approximations by the HDG method

F. Li, Ngoc Cuong Nguyen, Jaime Peraire, 2012, Math. Comput..

Wavenumber Explicit Analysis of a DPG Method for the Multidimensional Helmholtz Equation

L. Demkowicz, Jay Gopalakrishnan, I. Muga, 2011 .

A Mass Conserving Mixed Stress Formulation for Stokes Flow with Weakly Imposed Stress Symmetry

Jay Gopalakrishnan, J. Schöberl, P. Lederer, 2019, SIAM J. Numer. Anal..

Breaking spaces and forms for the DPG method and applications including Maxwell equations

Carsten Carstensen, Leszek F. Demkowicz, Jay Gopalakrishnan, 2015, Comput. Math. Appl..

Analysis of HDG methods for Stokes flow

Francisco-Javier Sayas, Bernardo Cockburn, Ngoc Cuong Nguyen, 2010, Math. Comput..