Jay Gopalakrishnan

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 29

Top Topics

Convergence Analysis

Finite Element Methods

Computationally Expensive

Multimedia Processing

Top Venues

Comput. Math. Appl.

SIAM J. Numer. Anal.

Publications

Jay Gopalakrishnan, Jacob Grosek, Gabriel Pinochet-Soto, Pieter Vandenberge
Adaptive resolution of fine scales in modes of microstructured optical fibers. CoRR (2024)
Jay Gopalakrishnan, Michael Neunteufel, Joachim Schöberl, Max Wardetzky
On the improved convergence of lifted distributional Gauss curvature from Regge elements. CoRR (2024)
Snorre H. Christiansen, Jay Gopalakrishnan, Johnny Guzmán, Kaibo Hu
A discrete elasticity complex on three-dimensional Alfeld splits. Numerische Mathematik 156 (1) (2024)
Jay Gopalakrishnan, Johnny Guzmán, Jeonghun J. Lee
The Johnson-Mercier elasticity element in any dimensions. CoRR (2024)
Jay Gopalakrishnan, Michael Neunteufel, Joachim Schöberl, Max Wardetzky
Analysis of distributional Riemann curvature tensor in any dimension. CoRR (2023)
Tamara Gratcheva, Yogesh N. Joglekar, Jay Gopalakrishnan
PT-symmetry enabled stable modes in multi-core fiber. CoRR (2023)
Jay Gopalakrishnan, Lukas Kogler, Philip L. Lederer, Joachim Schöberl
Divergence-Conforming Velocity and Vorticity Approximations for Incompressible Fluids Obtained with Minimal Facet Coupling. J. Sci. Comput. 95 (3) (2023)
Sining Gong, Jay Gopalakrishnan, Johnny Guzmán, Michael Neilan
Discrete Elasticity Exact Sequences on Worsey-Farin splits. CoRR (2023)
Dow Drake, Jay Gopalakrishnan, Joachim Schöberl, Christoph Wintersteiger
Convergence analysis of some tent-based schemes for linear hyperbolic systems. Math. Comput. 91 (334) (2022)
Jay Gopalakrishnan, Zheng Sun
Stability of structure-aware Taylor methods for tents. Math. Comput. 92 (341) (2022)
Jay Gopalakrishnan, Zheng Sun
Stability of structure-aware Taylor methods for tents. CoRR (2022)
Jay Gopalakrishnan, Michael Neunteufel, Joachim Schöberl, Max Wardetzky
Analysis of curvature approximations via covariant curl and incompatibility for Regge metrics. CoRR (2022)
Dow Drake, Jay Gopalakrishnan, Joachim Schöberl, Christoph Wintersteiger
Convergence analysis of some tent-based schemes for linear hyperbolic systems. CoRR (2021)
Jay Gopalakrishnan, Lukas Kogler, Philip L. Lederer, Joachim Schöberl
Minimal order H(div)-conforming velocity-vorticity approximations for incompressible fluids. CoRR (2021)
Jay Gopalakrishnan, Benjamin Quanah Parker, Pieter Vandenberge
Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems. CoRR (2021)
Fleurianne Bertrand, Leszek F. Demkowicz, Jay Gopalakrishnan
Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods. Comput. Math. Appl. 95 (2021)
Jay Gopalakrishnan, Philip L. Lederer, Joachim Schöberl
A Mass Conserving Mixed Stress Formulation for Stokes Flow with Weakly Imposed Stress Symmetry. SIAM J. Numer. Anal. 58 (1) (2020)
Jay Gopalakrishnan, Luka Grubisic, Jeffrey S. Ovall
Spectral discretization errors in filtered subspace iteration. Math. Comput. 89 (321) (2020)
Jay Gopalakrishnan, Joachim Schöberl, Christoph Wintersteiger
Structure aware Runge-Kutta time stepping for spacetime tents. CoRR (2020)
Leszek F. Demkowicz, Jay Gopalakrishnan, Brendan Keith
The DPG-star method. Comput. Math. Appl. 79 (11) (2020)
Snorre H. Christiansen, Jay Gopalakrishnan, Johnny Guzmán, Kaibo Hu
A discrete elasticity complex on three-dimensional Alfeld splits. CoRR (2020)
Fleurianne Bertrand, Leszek F. Demkowicz, Jay Gopalakrishnan, Norbert Heuer
Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods. Comput. Methods Appl. Math. 19 (3) (2019)
Jay Gopalakrishnan, Matthias Hochsteger, Joachim Schöberl, Christoph Wintersteiger
An Explicit Mapped Tent Pitching Scheme for Maxwell Equations. CoRR (2019)
Jay Gopalakrishnan, Luka Grubisic, Jeffrey S. Ovall, Benjamin Parker
Analysis of FEAST Spectral Approximations Using the DPG Discretization. Comput. Methods Appl. Math. 19 (2) (2019)
Jay Gopalakrishnan, Martin Neumüller, Panayot S. Vassilevski
The Auxiliary Space Preconditioner for the de Rham Complex. SIAM J. Numer. Anal. 56 (6) (2018)
Jay Gopalakrishnan, Manuel Solano, Felipe Vargas
Dispersion Analysis of HDG Methods. J. Sci. Comput. 77 (3) (2018)
Dow Drake, Jay Gopalakrishnan, Ammar Harb
Reduced test spaces for DPG methods using rectangular elements. Comput. Math. Appl. 74 (8) (2017)
Marc I. Gerritsma, Carsten Carstensen, Leszek F. Demkowicz, Jay Gopalakrishnan
Minimum Residual and Least Squares Finite Element Methods II. Comput. Math. Appl. 74 (8) (2017)
Carsten Carstensen, Leszek F. Demkowicz, Jay Gopalakrishnan
Breaking spaces and forms for the DPG method and applications including Maxwell equations. Comput. Math. Appl. 72 (3) (2016)
Jay Gopalakrishnan, Peter Monk, Paulina Sepúlveda
A tent pitching scheme motivated by Friedrichs theory. Comput. Math. Appl. 70 (5) (2015)
Timaeus Bouma, Jay Gopalakrishnan, Ammar Harb
Convergence rates of the DPG method with reduced test space degree. Comput. Math. Appl. 68 (11) (2014)
Jay Gopalakrishnan, Weifeng Qiu
An analysis of the practical DPG method. Math. Comput. 83 (286) (2014)
Pavel B. Bochev, Leszek F. Demkowicz, Jay Gopalakrishnan, Max D. Gunzburger
Minimum Residual and Least Squares Finite Element Methods. Comput. Math. Appl. 68 (11) (2014)
Patrick De Leenheer, Jay Gopalakrishnan, Erica Zuhr
Nonnegativity of exact and numerical solutions of some chemotactic models. Comput. Math. Appl. 66 (3) (2013)
Jay Gopalakrishnan, Minah Oh
Commuting Smoothed Projectors in Weighted Norms with an Application to Axisymmetric Maxwell Equations. J. Sci. Comput. 51 (2) (2012)
Jamie Bramwell, Leszek F. Demkowicz, Jay Gopalakrishnan, Weifeng Qiu
DPG method for linear elasticity with symmetric stresses. Numerische Mathematik 122 (4) (2012)
Jay Gopalakrishnan, Johnny Guzmán
Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity. SIAM J. Numer. Anal. 49 (4) (2011)
Jay Gopalakrishnan, Shari Moskow, Fadil Santosa
Asymptotic and Numerical Techniques for Resonances of Thin Photonic Structures. SIAM J. Appl. Math. 69 (1) (2008)
Jay Gopalakrishnan, Guido Kanschat
A multilevel discontinuous Galerkin method. Numerische Mathematik 95 (3) (2003)
Jay Gopalakrishnan, Guido Kanschat
A multilevel discontinuous Galerkin method. Numerische Mathematik 95 (3) (2003)