Multigrid for the Mortar Finite Element Method. - Jayadeep Gopalakrishnan; Joseph E. Pasciak (SIAM J. Numer. Anal., 2000)

Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations. - Jayadeep Gopalakrishnan; Joseph E. Pasciak (Math. Comput., 2003)

A multilevel discontinuous Galerkin method. - Jay Gopalakrishnan; Guido Kanschat (Numerische Mathematik, 2003)

A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems. - Bernardo Cockburn; Jayadeep Gopalakrishnan (SIAM J. Numer. Anal., 2004)

Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations. - Jayadeep Gopalakrishnan; Joseph E. Pasciak; Leszek F. Demkowicz (SIAM J. Numer. Anal., 2004)

Error analysis of variable degree mixed methods for elliptic problems via hybridization. - Bernardo Cockburn; Jayadeep Gopalakrishnan (Math. Comput., 2005)

Incompressible Finite Elements via Hybridization. Part I: The Stokes System in Two Space Dimensions. - Bernardo Cockburn; Jayadeep Gopalakrishnan (SIAM J. Numer. Anal., 2005)

Incompressible Finite Elements via Hybridization. Part II: The Stokes System in Three Space Dimensions. - Bernardo Cockburn; Jayadeep Gopalakrishnan (SIAM J. Numer. Anal., 2005)

The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations. - Jayadeep Gopalakrishnan; Joseph E. Pasciak (Math. Comput., 2006)

Locally Conservative Fluxes for the Continuous Galerkin Method. - Bernardo Cockburn; Jayadeep Gopalakrishnan; Haiying Wang 009 (SIAM J. Numer. Anal., 2007)

A mixed method for axisymmetric div-curl systems. - Dylan M. Copeland; Jayadeep Gopalakrishnan; Joseph E. Pasciak (Math. Comput., 2008)

Asymptotic and Numerical Techniques for Resonances of Thin Photonic Structures. - Jay Gopalakrishnan; Shari Moskow; Fadil Santosa (SIAM J. Appl. Math., 2008)

Polynomial Extension Operators. Part I. - Leszek F. Demkowicz; Jayadeep Gopalakrishnan; Joachim Schöberl (SIAM J. Numer. Anal., 2008)

A convergent multigrid cycle for the hybridized mixed method. - Jayadeep Gopalakrishnan; Shuguang Tan (Numer. Linear Algebra Appl., 2009)

The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow. - Bernardo Cockburn; Jayadeep Gopalakrishnan (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)

Polynomial Extension Operators. Part II. - Leszek F. Demkowicz; Jayadeep Gopalakrishnan; Joachim Schöberl (SIAM J. Numer. Anal., 2009)

A new elasticity element made for enforcing weak stress symmetry. - Bernardo Cockburn; Jayadeep Gopalakrishnan; Johnny Guzmán (Math. Comput., 2010)

A projection-based error analysis of HDG methods. - Bernardo Cockburn; Jayadeep Gopalakrishnan; Francisco-Javier Sayas (Math. Comput., 2010)

Multigrid in a weighted space arising from axisymmetric electromagnetics. - Dylan M. Copeland; Jayadeep Gopalakrishnan; Minah Oh (Math. Comput., 2010)

Hybridization and Postprocessing Techniques for Mixed Eigenfunctions. - Bernardo Cockburn; Jayadeep Gopalakrishnan; F. Li; Ngoc Cuong Nguyen; Jaume Peraire (SIAM J. Numer. Anal., 2010)

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)

Analysis of HDG methods for Stokes flow. - Bernardo Cockburn; Jayadeep Gopalakrishnan; Ngoc Cuong Nguyen; Jaume Peraire; Francisco-Javier Sayas (Math. Comput., 2011)

Analysis of the DPG Method for the Poisson Equation. - Leszek F. Demkowicz; Jayadeep Gopalakrishnan (SIAM J. Numer. Anal., 2011)

Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity. - Jay Gopalakrishnan; Johnny Guzmán (SIAM J. Numer. Anal., 2011)

Commuting Smoothed Projectors in Weighted Norms with an Application to Axisymmetric Maxwell Equations. - Jay Gopalakrishnan; Minah Oh (J. Sci. Comput., 2012)

Polynomial extension operators. Part III. - Leszek F. Demkowicz; Jayadeep Gopalakrishnan; Joachim Schöberl (Math. Comput., 2012)

A locking-free hp DPG method for linear elasticity with symmetric stresses. - Jamie Bramwell; Leszek F. Demkowicz; Jay Gopalakrishnan; Weifeng Qiu (Numerische Mathematik, 2012)

A primal DPG method without a first-order reformulation. - Leszek F. Demkowicz; Jayadeep Gopalakrishnan (Comput. Math. Appl., 2013)

Nonnegativity of exact and numerical solutions of some chemotactic models. - Patrick De Leenheer; Jay Gopalakrishnan; Erica Zuhr (Comput. Math. Appl., 2013)

Minimum Residual and Least Squares Finite Element Methods. - Pavel B. Bochev; Leszek F. Demkowicz; Jay Gopalakrishnan; Max D. Gunzburger (Comput. Math. Appl., 2014)

Convergence rates of the DPG method with reduced test space degree. - Timaeus Bouma; Jay Gopalakrishnan; Ammar Harb (Comput. Math. Appl., 2014)

An analysis of the practical DPG method. - Jay Gopalakrishnan; Weifeng Qiu (Math. Comput., 2014)

A Posteriori Error Control for DPG Methods. - Carsten Carstensen; Leszek F. Demkowicz; Jayadeep Gopalakrishnan (SIAM J. Numer. Anal., 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)

Stabilization in relation to wavenumber in HDG methods. - Jayadeep Gopalakrishnan; Stéphane Lanteri; Nicole Olivares; Ronan Perrussel (Adv. Model. Simul. Eng. Sci., 2015)

A tent pitching scheme motivated by Friedrichs theory. - Jay Gopalakrishnan; Peter Monk 001; Paulina Sepúlveda (Comput. Math. Appl., 2015)

Spectral approximations by the HDG method. - Jayadeep Gopalakrishnan; F. Li; Ngoc Cuong Nguyen; Jaime Peraire (Math. Comput., 2015)

Breaking spaces and forms for the DPG method and applications including Maxwell equations. - Carsten Carstensen; Leszek F. Demkowicz; Jay Gopalakrishnan (Comput. Math. Appl., 2016)

Reduced test spaces for DPG methods using rectangular elements. - Dow Drake; Jay Gopalakrishnan; Ammar Harb (Comput. Math. Appl., 2017)

Minimum Residual and Least Squares Finite Element Methods II. - Marc I. Gerritsma; Carsten Carstensen; Leszek F. Demkowicz; Jay Gopalakrishnan (Comput. Math. Appl., 2017)

A Spacetime DPG Method for the Schrödinger Equation. - Leszek F. Demkowicz; Jayadeep Gopalakrishnan; Sriram Nagaraj; Paulina Sepúlveda (SIAM J. Numer. Anal., 2017)

Mapped Tent Pitching Schemes for Hyperbolic Systems. - Jayadeep Gopalakrishnan; Joachim Schöberl; Christoph Wintersteiger (SIAM J. Sci. Comput., 2017)

Dispersion Analysis of HDG Methods. - Jay Gopalakrishnan; Manuel E. Solano; Felipe Vargas (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)

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)

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)

Analysis of FEAST Spectral Approximations Using the DPG Discretization. - Jay Gopalakrishnan; Luka Grubisic; Jeffrey S. Ovall; Benjamin Parker (Comput. Methods Appl. Math., 2019)

An Explicit Mapped Tent Pitching Scheme for Maxwell Equations. - Jay Gopalakrishnan; Matthias Hochsteger; Joachim Schöberl; Christoph Wintersteiger (CoRR, 2019)

The DPG-star method. - Leszek F. Demkowicz; Jay Gopalakrishnan; Brendan Keith (Comput. Math. Appl., 2020)

Structure aware Runge-Kutta time stepping for spacetime tents. - Jay Gopalakrishnan; Joachim Schöberl; Christoph Wintersteiger (CoRR, 2020)

Spectral discretization errors in filtered subspace iteration. - Jay Gopalakrishnan; Luka Grubisic; Jeffrey S. Ovall (Math. Comput., 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)

Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods. - Fleurianne Bertrand; Leszek F. Demkowicz; Jay Gopalakrishnan (Comput. Math. Appl., 2021)

Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems. - Jay Gopalakrishnan; Benjamin Quanah Parker; Pieter Vandenberge (CoRR, 2021)

Minimal order H(div)-conforming velocity-vorticity approximations for incompressible fluids. - Jay Gopalakrishnan; Lukas Kogler; Philip L. Lederer; Joachim Schöberl (CoRR, 2021)

Analysis of curvature approximations via covariant curl and incompatibility for Regge metrics. - Jay Gopalakrishnan; Michael Neunteufel; Joachim Schöberl; Max Wardetzky (CoRR, 2022)

Convergence analysis of some tent-based schemes for linear hyperbolic systems. - Dow Drake; Jay Gopalakrishnan; Joachim Schöberl; Christoph Wintersteiger (Math. Comput., 2022)

Stability of structure-aware Taylor methods for tents. - Jay Gopalakrishnan; Zheng Sun 004 (Math. Comput., 2022)

Discrete Elasticity Exact Sequences on Worsey-Farin splits. - Sining Gong; Jay Gopalakrishnan; Johnny Guzmán; Michael Neilan (CoRR, 2023)

PT-symmetry enabled stable modes in multi-core fiber. - Tamara Gratcheva; Yogesh N. Joglekar; Jay Gopalakrishnan (CoRR, 2023)

Analysis of distributional Riemann curvature tensor in any dimension. - Jay Gopalakrishnan; Michael Neunteufel; Joachim Schöberl; Max Wardetzky (CoRR, 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., 2023)

On the improved convergence of lifted distributional Gauss curvature from Regge elements. - Jay Gopalakrishnan; Michael Neunteufel; Joachim Schöberl; Max Wardetzky (CoRR, 2024)

The Johnson-Mercier elasticity element in any dimensions. - Jay Gopalakrishnan; Johnny Guzmán; Jeonghun J. Lee (CoRR, 2024)

A discrete elasticity complex on three-dimensional Alfeld splits. - Snorre H. Christiansen; Jay Gopalakrishnan; Johnny Guzmán; Kaibo Hu (Numerische Mathematik, 2024)

The discontinuous Petrov-Galerkin method. - Leszek F. Demkowicz; Jay Gopalakrishnan (Acta Numer., 2025)

Adaptive Resolution of Fine Scales in Modes of Microstructured Optical Fibers. - Jay Gopalakrishnan; Jacob Grosek; Gabriel Pinochet-Soto; Pieter Vandenberge (SIAM J. Sci. Comput., 2025)

Guided modes of helical waveguides. - Jay Gopalakrishnan; Michael Neunteufel (CoRR, 2025)

DPG loss functions for learning parameter-to-solution maps by neural networks. - Pablo Cortés Castillo; Wolfgang Dahmen; Jay Gopalakrishnan (CoRR, 2025)