Jayadeep Gopalakrishnan

According to our database, Jayadeep Gopalakrishnan authored at least 67 papers between 2000 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

A discrete elasticity complex on three-dimensional Alfeld splits.

Snorre H. Christiansen, Jay Gopalakrishnan, Johnny Guzmán, Kaibo Hu

Numerische Mathematik, February, 2024

Adaptive resolution of fine scales in modes of microstructured optical fibers.

Jay Gopalakrishnan, Jacob Grosek, Gabriel Pinochet-Soto, Pieter Vandenberge

CoRR, 2024

The Johnson-Mercier elasticity element in any dimensions.

Jay Gopalakrishnan, Johnny Guzmán, Jeonghun J. Lee

CoRR, 2024

On the improved convergence of lifted distributional Gauss curvature from Regge elements.

Jay Gopalakrishnan, Michael Neunteufel, Joachim Schöberl, Max Wardetzky

CoRR, 2024

2023

Divergence-Conforming Velocity and Vorticity Approximations for Incompressible Fluids Obtained with Minimal Facet Coupling.

Jay Gopalakrishnan, Lukas Kogler, Philip L. Lederer, Joachim Schöberl

J. Sci. Comput., June, 2023

Analysis of distributional Riemann curvature tensor in any dimension.

Jay Gopalakrishnan, Michael Neunteufel, Joachim Schöberl, Max Wardetzky

CoRR, 2023

PT-symmetry enabled stable modes in multi-core fiber.

Tamara Gratcheva, Yogesh N. Joglekar, Jay Gopalakrishnan

CoRR, 2023

Discrete Elasticity Exact Sequences on Worsey-Farin splits.

Sining Gong, Jay Gopalakrishnan, Johnny Guzmán, Michael Neilan

CoRR, 2023

2022

Stability of structure-aware Taylor methods for tents.

Jay Gopalakrishnan, Zheng Sun

Math. Comput., November, 2022

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

Dow Drake, Jay Gopalakrishnan, Joachim Schöberl, Christoph Wintersteiger

Math. Comput., 2022

Analysis of curvature approximations via covariant curl and incompatibility for Regge metrics.

Jay Gopalakrishnan, Michael Neunteufel, Joachim Schöberl, Max Wardetzky

CoRR, 2022

2021

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

Jay Gopalakrishnan, Lukas Kogler, Philip L. Lederer, Joachim Schöberl

CoRR, 2021

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

Jay Gopalakrishnan, Benjamin Quanah Parker, Pieter Vandenberge

CoRR, 2021

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

Fleurianne Bertrand, Leszek F. Demkowicz, Jay Gopalakrishnan

Comput. Math. Appl., 2021

2020

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

Jay Gopalakrishnan, Philip L. Lederer, Joachim Schöberl

SIAM J. Numer. Anal., 2020

Spectral discretization errors in filtered subspace iteration.

Jay Gopalakrishnan, Luka Grubisic, Jeffrey S. Ovall

Math. Comput., 2020

Structure aware Runge-Kutta time stepping for spacetime tents.

Jay Gopalakrishnan, Joachim Schöberl, Christoph Wintersteiger

CoRR, 2020

The DPG-star method.

Leszek F. Demkowicz, Jay Gopalakrishnan, Brendan Keith

Comput. Math. Appl., 2020

2019

An Explicit Mapped Tent Pitching Scheme for Maxwell Equations.

Jay Gopalakrishnan, Matthias Hochsteger, Joachim Schöberl, Christoph Wintersteiger

CoRR, 2019

Analysis of FEAST Spectral Approximations Using the DPG Discretization.

Jay Gopalakrishnan, Luka Grubisic, Jeffrey S. Ovall, Benjamin Parker

Comput. Methods Appl. Math., 2019

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

Fleurianne Bertrand, Leszek F. Demkowicz, Jay Gopalakrishnan, Norbert Heuer

Comput. Methods Appl. Math., 2019

2018

A Scalable Preconditioner for a Primal Discontinuous Petrov-Galerkin Method.

Andrew T. Barker, Veselin Dobrev, Jayadeep Gopalakrishnan, Tzanio V. Kolev

SIAM J. Sci. Comput., 2018

The Auxiliary Space Preconditioner for the de Rham Complex.

Jay Gopalakrishnan, Martin Neumüller, Panayot S. Vassilevski

SIAM J. Numer. Anal., 2018

Dispersion Analysis of HDG Methods.

Jay Gopalakrishnan, Manuel E. Solano, Felipe Vargas

J. Sci. Comput., 2018

2017

Mapped Tent Pitching Schemes for Hyperbolic Systems.

Jayadeep Gopalakrishnan, Joachim Schöberl, Christoph Wintersteiger

SIAM J. Sci. Comput., 2017

A Spacetime DPG Method for the Schrödinger Equation.

Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Sriram Nagaraj, Paulina Sepúlveda

SIAM J. Numer. Anal., 2017

Minimum Residual and Least Squares Finite Element Methods II.

Marc I. Gerritsma, Carsten Carstensen, Leszek F. Demkowicz, Jay Gopalakrishnan

Comput. Math. Appl., 2017

Reduced test spaces for DPG methods using rectangular elements.

Dow Drake, Jay Gopalakrishnan, Ammar Harb

Comput. Math. Appl., 2017

2016

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

Carsten Carstensen, Leszek F. Demkowicz, Jay Gopalakrishnan

Comput. Math. Appl., 2016

2015

Spectral approximations by the HDG method.

Jayadeep Gopalakrishnan, F. Li, Ngoc Cuong Nguyen, Jaime Peraire

Math. Comput., 2015

A tent pitching scheme motivated by Friedrichs theory.

Jay Gopalakrishnan, Peter Monk, Paulina Sepúlveda

Comput. Math. Appl., 2015

Stabilization in relation to wavenumber in HDG methods.

Jayadeep Gopalakrishnan, Stéphane Lanteri, Nicole Olivares, Ronan Perrussel

Adv. Model. Simul. Eng. Sci., 2015

2014

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

Jayadeep Gopalakrishnan, Ignacio Muga, Nicole Olivares

SIAM J. Sci. Comput., 2014

A Posteriori Error Control for DPG Methods.

Carsten Carstensen, Leszek F. Demkowicz, Jayadeep Gopalakrishnan

SIAM J. Numer. Anal., 2014

An analysis of the practical DPG method.

Jay Gopalakrishnan, Weifeng Qiu

Math. Comput., 2014

Convergence rates of the DPG method with reduced test space degree.

Timaeus Bouma, Jay Gopalakrishnan, Ammar Harb

Comput. Math. Appl., 2014

Minimum Residual and Least Squares Finite Element Methods.

Pavel B. Bochev, Leszek F. Demkowicz, Jay Gopalakrishnan, Max D. Gunzburger

Comput. Math. Appl., 2014

2013

Nonnegativity of exact and numerical solutions of some chemotactic models.

Patrick De Leenheer, Jay Gopalakrishnan, Erica Zuhr

Comput. Math. Appl., 2013

A primal DPG method without a first-order reformulation.

Leszek F. Demkowicz, Jayadeep Gopalakrishnan

Comput. Math. Appl., 2013

2012

A locking-free <i>hp</i> DPG method for linear elasticity with symmetric stresses.

Jamie Bramwell, Leszek F. Demkowicz, Jay Gopalakrishnan, Weifeng Qiu

Numerische Mathematik, 2012

Polynomial extension operators. Part III.

Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Joachim Schöberl

Math. Comput., 2012

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

Jay Gopalakrishnan, Minah Oh

J. Sci. Comput., 2012

2011

Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity.

Jay Gopalakrishnan, Johnny Guzmán

SIAM J. Numer. Anal., 2011

Analysis of the DPG Method for the Poisson Equation.

Leszek F. Demkowicz, Jayadeep Gopalakrishnan

SIAM J. Numer. Anal., 2011

Analysis of HDG methods for Stokes flow.

Bernardo Cockburn, Jayadeep Gopalakrishnan, Ngoc Cuong Nguyen, Jaume Peraire, Francisco-Javier Sayas

Math. Comput., 2011

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

J. Zitelli, Ignacio Muga, Leszek F. Demkowicz, Jayadeep Gopalakrishnan, David Pardo, Victor M. Calo

J. Comput. Phys., 2011

2010

Hybridization and Postprocessing Techniques for Mixed Eigenfunctions.

Bernardo Cockburn, Jayadeep Gopalakrishnan, F. Li, Ngoc Cuong Nguyen, Jaume Peraire

SIAM J. Numer. Anal., 2010

Multigrid in a weighted space arising from axisymmetric electromagnetics.

Dylan M. Copeland, Jayadeep Gopalakrishnan, Minah Oh

Math. Comput., 2010

A projection-based error analysis of HDG methods.

Bernardo Cockburn, Jayadeep Gopalakrishnan, Francisco-Javier Sayas

Math. Comput., 2010

A new elasticity element made for enforcing weak stress symmetry.

Bernardo Cockburn, Jayadeep Gopalakrishnan, Johnny Guzmán

Math. Comput., 2010

2009

Polynomial Extension Operators. Part II.

Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Joachim Schöberl

SIAM J. Numer. Anal., 2009

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

Bernardo Cockburn, Jayadeep Gopalakrishnan, Raytcho D. Lazarov

SIAM J. Numer. Anal., 2009

The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow.

Bernardo Cockburn, Jayadeep Gopalakrishnan

SIAM J. Numer. Anal., 2009

A convergent multigrid cycle for the hybridized mixed method.

Jayadeep Gopalakrishnan, Shuguang Tan

Numer. Linear Algebra Appl., 2009

2008

Polynomial Extension Operators. Part I.

Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Joachim Schöberl

SIAM J. Numer. Anal., 2008

Asymptotic and Numerical Techniques for Resonances of Thin Photonic Structures.

Jay Gopalakrishnan, Shari Moskow, Fadil Santosa

SIAM J. Appl. Math., 2008

A mixed method for axisymmetric div-curl systems.

Dylan M. Copeland, Jayadeep Gopalakrishnan, Joseph E. Pasciak

Math. Comput., 2008

2007

Locally Conservative Fluxes for the Continuous Galerkin Method.

Bernardo Cockburn, Jayadeep Gopalakrishnan, Haiying Wang

SIAM J. Numer. Anal., 2007

2006

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

Jayadeep Gopalakrishnan, Joseph E. Pasciak

Math. Comput., 2006

2005

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

Bernardo Cockburn, Jayadeep Gopalakrishnan

SIAM J. Numer. Anal., 2005

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

Bernardo Cockburn, Jayadeep Gopalakrishnan

SIAM J. Numer. Anal., 2005

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

Bernardo Cockburn, Jayadeep Gopalakrishnan

Math. Comput., 2005

2004

Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations.

Jayadeep Gopalakrishnan, Joseph E. Pasciak, Leszek F. Demkowicz

SIAM J. Numer. Anal., 2004

A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems.

Bernardo Cockburn, Jayadeep Gopalakrishnan

SIAM J. Numer. Anal., 2004

2003

A multilevel discontinuous Galerkin method.

Jay Gopalakrishnan, Guido Kanschat

Numerische Mathematik, 2003

Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations.

Jayadeep Gopalakrishnan, Joseph E. Pasciak

Math. Comput., 2003

2000

Multigrid for the Mortar Finite Element Method.

Jayadeep Gopalakrishnan, Joseph E. Pasciak

SIAM J. Numer. Anal., 2000