Jayadeep Gopalakrishnan

Orcid: 0000-0001-7508-3232

Affiliations:
  • Portland State University, USA


According to our database1, Jayadeep Gopalakrishnan authored at least 67 papers between 2000 and 2024.

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Bibliography

2024
A discrete elasticity complex on three-dimensional Alfeld splits.
Numerische Mathematik, February, 2024

Adaptive resolution of fine scales in modes of microstructured optical fibers.
CoRR, 2024

The Johnson-Mercier elasticity element in any dimensions.
CoRR, 2024

On the improved convergence of lifted distributional Gauss curvature from Regge elements.
CoRR, 2024

2023
Divergence-Conforming Velocity and Vorticity Approximations for Incompressible Fluids Obtained with Minimal Facet Coupling.
J. Sci. Comput., June, 2023

Analysis of distributional Riemann curvature tensor in any dimension.
CoRR, 2023

PT-symmetry enabled stable modes in multi-core fiber.
CoRR, 2023

Discrete Elasticity Exact Sequences on Worsey-Farin splits.
CoRR, 2023

2022
Stability of structure-aware Taylor methods for tents.
Math. Comput., November, 2022

Convergence analysis of some tent-based schemes for linear hyperbolic systems.
Math. Comput., 2022

Analysis of curvature approximations via covariant curl and incompatibility for Regge metrics.
CoRR, 2022

2021
Minimal order H(div)-conforming velocity-vorticity approximations for incompressible fluids.
CoRR, 2021

Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems.
CoRR, 2021

Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods.
Comput. Math. Appl., 2021

2020
A Mass Conserving Mixed Stress Formulation for Stokes Flow with Weakly Imposed Stress Symmetry.
SIAM J. Numer. Anal., 2020

Spectral discretization errors in filtered subspace iteration.
Math. Comput., 2020

Structure aware Runge-Kutta time stepping for spacetime tents.
CoRR, 2020

The DPG-star method.
Comput. Math. Appl., 2020

2019
An Explicit Mapped Tent Pitching Scheme for Maxwell Equations.
CoRR, 2019

Analysis of FEAST Spectral Approximations Using the DPG Discretization.
Comput. Methods Appl. Math., 2019

Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods.
Comput. Methods Appl. Math., 2019

2018
A Scalable Preconditioner for a Primal Discontinuous Petrov-Galerkin Method.
SIAM J. Sci. Comput., 2018

The Auxiliary Space Preconditioner for the de Rham Complex.
SIAM J. Numer. Anal., 2018

Dispersion Analysis of HDG Methods.
J. Sci. Comput., 2018

2017
Mapped Tent Pitching Schemes for Hyperbolic Systems.
SIAM J. Sci. Comput., 2017

A Spacetime DPG Method for the Schrödinger Equation.
SIAM J. Numer. Anal., 2017

Minimum Residual and Least Squares Finite Element Methods II.
Comput. Math. Appl., 2017

Reduced test spaces for DPG methods using rectangular elements.
Comput. Math. Appl., 2017

2016
Breaking spaces and forms for the DPG method and applications including Maxwell equations.
Comput. Math. Appl., 2016

2015
Spectral approximations by the HDG method.
Math. Comput., 2015

A tent pitching scheme motivated by Friedrichs theory.
Comput. Math. Appl., 2015

Stabilization in relation to wavenumber in HDG methods.
Adv. Model. Simul. Eng. Sci., 2015

2014
Dispersive and Dissipative Errors in the DPG Method with Scaled Norms for Helmholtz Equation.
SIAM J. Sci. Comput., 2014

A Posteriori Error Control for DPG Methods.
SIAM J. Numer. Anal., 2014

An analysis of the practical DPG method.
Math. Comput., 2014

Convergence rates of the DPG method with reduced test space degree.
Comput. Math. Appl., 2014

Minimum Residual and Least Squares Finite Element Methods.
Comput. Math. Appl., 2014

2013
Nonnegativity of exact and numerical solutions of some chemotactic models.
Comput. Math. Appl., 2013

A primal DPG method without a first-order reformulation.
Comput. Math. Appl., 2013

2012
A locking-free <i>hp</i> DPG method for linear elasticity with symmetric stresses.
Numerische Mathematik, 2012

Polynomial extension operators. Part III.
Math. Comput., 2012

Commuting Smoothed Projectors in Weighted Norms with an Application to Axisymmetric Maxwell Equations.
J. Sci. Comput., 2012

2011
Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity.
SIAM J. Numer. Anal., 2011

Analysis of the DPG Method for the Poisson Equation.
SIAM J. Numer. Anal., 2011

Analysis of HDG methods for Stokes flow.
Math. Comput., 2011

A class of discontinuous Petrov-Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D.
J. Comput. Phys., 2011

2010
Hybridization and Postprocessing Techniques for Mixed Eigenfunctions.
SIAM J. Numer. Anal., 2010

Multigrid in a weighted space arising from axisymmetric electromagnetics.
Math. Comput., 2010

A projection-based error analysis of HDG methods.
Math. Comput., 2010

A new elasticity element made for enforcing weak stress symmetry.
Math. Comput., 2010

2009
Polynomial Extension Operators. Part II.
SIAM J. Numer. Anal., 2009

Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems.
SIAM J. Numer. Anal., 2009

The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow.
SIAM J. Numer. Anal., 2009

A convergent multigrid cycle for the hybridized mixed method.
Numer. Linear Algebra Appl., 2009

2008
Polynomial Extension Operators. Part I.
SIAM J. Numer. Anal., 2008

Asymptotic and Numerical Techniques for Resonances of Thin Photonic Structures.
SIAM J. Appl. Math., 2008

A mixed method for axisymmetric div-curl systems.
Math. Comput., 2008

2007
Locally Conservative Fluxes for the Continuous Galerkin Method.
SIAM J. Numer. Anal., 2007

2006
The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations.
Math. Comput., 2006

2005
Incompressible Finite Elements via Hybridization. Part II: The Stokes System in Three Space Dimensions.
SIAM J. Numer. Anal., 2005

Incompressible Finite Elements via Hybridization. Part I: The Stokes System in Two Space Dimensions.
SIAM J. Numer. Anal., 2005

Error analysis of variable degree mixed methods for elliptic problems via hybridization.
Math. Comput., 2005

2004
Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations.
SIAM J. Numer. Anal., 2004

A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems.
SIAM J. Numer. Anal., 2004

2003
A multilevel discontinuous Galerkin method.
Numerische Mathematik, 2003

Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations.
Math. Comput., 2003

2000
Multigrid for the Mortar Finite Element Method.
SIAM J. Numer. Anal., 2000


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