Jay Gopalakrishnan

发表

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

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

An Explicit Mapped Tent Pitching Scheme for Maxwell Equations pdf

Joachim Schöberl, Jay Gopalakrishnan, Matthias Hochsteger, 2019, ArXiv.

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 tent pitching scheme motivated by Friedrichs theory

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

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

Nilima Nigam, Jay Gopalakrishnan, Simon Gemmrich, 2008 .

Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity

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

Dispersion Analysis of HDG Methods

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

Analysis of FEAST Spectral Approximations Using the DPG Discretization

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

A locking-free $$hp$$ DPG method for linear elasticity with symmetric stresses

Weifeng Qiu, Leszek F. Demkowicz, Jay Gopalakrishnan, 2012, 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..

Minimum Residual and Least Squares Finite Element Methods II

Carsten Carstensen, Marc I. Gerritsma, Leszek F. Demkowicz, 2017, Comput. Math. Appl..

A multilevel discontinuous Galerkin method

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

Convergence rates of the DPG method with reduced test space degree

Jay Gopalakrishnan, Ammar Harb, Timaeus Bouma, 2014, Comput. Math. Appl..

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..

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

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

The Auxiliary Space Preconditioner for the de Rham Complex

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

A multilevel discontinuous Galerkin method

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

The DPG-star method

Leszek Demkowicz, Brendan Keith, Jay Gopalakrishnan, 2020, Comput. Math. Appl..

Reduced test spaces for DPG methods using rectangular elements

Jay Gopalakrishnan, Dow Drake, Ammar Harb, 2017, Comput. Math. Appl..

Nonnegativity of exact and numerical solutions of some chemotactic models

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

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

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

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

Jay Gopalakrishnan, Benjamin Quanah Parker, Pieter Vandenberge, 2022, Wave Motion.

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

Jay Gopalakrishnan, Joachim Schoberl, Philip L. Lederer, 2021, ArXiv.

A mass conserving mixed stress formulation for the Stokes equations

Jay Gopalakrishnan, Joachim Schoberl, Philip L. Lederer, 2019, IMA Journal of Numerical Analysis.

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

Joachim Schöberl, Jay Gopalakrishnan, Jay Gopalakrishnan, 2015 .

Simulation of optical fiber amplifier gain using equivalent short fibers

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

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

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

A Spacetime DPG Method for the Wave Equation in Multiple Dimensions

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

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

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

A scalable preconditioner for a DPG method

Jay Gopalakrishnan, Andrew T. Barker, Veselin Dobrev, 2016 .

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

Leszek Demkowicz, Jay Gopalakrishnan, Ignacio Muga, 2011 .

A Hybridized Discontinuous Petrov-Galerkin Method for Compresible Flows

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

Instability in a generalized Keller–Segel model

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

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

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

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

Leszek Demkowicz, Jay Gopalakrishnan, L. Demkowicz, .

Multigrid for an HDG method

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

A class of discontinuous Petrov-Galerkin methods. Part III

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

Nédélec spaces in affine coordinates

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

An Overview of the Discontinuous Petrov Galerkin Method

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

Partial expansion of a Lipschitz domain and some applications

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

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

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