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ORCIDJayadeep Gopalakrishnan
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- affiliation: Portland State University, USA
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Journal Articles
- 2024
[j57]Snorre H. Christiansen, Jay Gopalakrishnan, Johnny Guzmán, Kaibo Hu:
A discrete elasticity complex on three-dimensional Alfeld splits. Numerische Mathematik 156(1): 159-204 (2024)- 2023
- [j56]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): 91 (2023) - 2022
- [j55]Dow Drake, Jay Gopalakrishnan, Joachim Schöberl, Christoph Wintersteiger:
Convergence analysis of some tent-based schemes for linear hyperbolic systems. Math. Comput. 91(334): 699-733 (2022) - [j54]Jay Gopalakrishnan, Zheng Sun:
Stability of structure-aware Taylor methods for tents. Math. Comput. 92(341): 1061-1086 (2022) - 2021
- [j53]Fleurianne Bertrand, Leszek F. Demkowicz, Jay Gopalakrishnan:
Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods. Comput. Math. Appl. 95: 1-3 (2021) - 2020
- [j52]Leszek F. Demkowicz, Jay Gopalakrishnan, Brendan Keith:
The DPG-star method. Comput. Math. Appl. 79(11): 3092-3116 (2020) - [j51]Jay Gopalakrishnan, Luka Grubisic, Jeffrey S. Ovall:
Spectral discretization errors in filtered subspace iteration. Math. Comput. 89(321): 203-228 (2020) - [j50]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): 706-732 (2020) - 2019
- [j49]Jay Gopalakrishnan, Luka Grubisic, Jeffrey S. Ovall, Benjamin Parker:
Analysis of FEAST Spectral Approximations Using the DPG Discretization. Comput. Methods Appl. Math. 19(2): 251-266 (2019) - [j48]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): 395-397 (2019) - 2018
- [j47]Jay Gopalakrishnan, Manuel E. Solano, Felipe Vargas:
Dispersion Analysis of HDG Methods. J. Sci. Comput. 77(3): 1703-1735 (2018) - [j46]Jay Gopalakrishnan, Martin Neumüller, Panayot S. Vassilevski:
The Auxiliary Space Preconditioner for the de Rham Complex. SIAM J. Numer. Anal. 56(6): 3196-3218 (2018) - [j45]Andrew T. Barker, Veselin Dobrev, Jayadeep Gopalakrishnan, Tzanio V. Kolev:
A Scalable Preconditioner for a Primal Discontinuous Petrov-Galerkin Method. SIAM J. Sci. Comput. 40(2) (2018) - 2017
- [j44]Marc I. Gerritsma, Carsten Carstensen, Leszek F. Demkowicz, Jay Gopalakrishnan:
Minimum Residual and Least Squares Finite Element Methods II. Comput. Math. Appl. 74(8): 1922 (2017) - [j43]Dow Drake, Jay Gopalakrishnan, Ammar Harb:
Reduced test spaces for DPG methods using rectangular elements. Comput. Math. Appl. 74(8): 1955-1963 (2017) - [j42]Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Sriram Nagaraj, Paulina Sepúlveda:
A Spacetime DPG Method for the Schrödinger Equation. SIAM J. Numer. Anal. 55(4): 1740-1759 (2017) - [j41]Jayadeep Gopalakrishnan, Joachim Schöberl, Christoph Wintersteiger:
Mapped Tent Pitching Schemes for Hyperbolic Systems. SIAM J. Sci. Comput. 39(6) (2017) - 2016
- [j40]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): 494-522 (2016) - 2015
- [j39]Jayadeep Gopalakrishnan, Stéphane Lanteri, Nicole Olivares, Ronan Perrussel:
Stabilization in relation to wavenumber in HDG methods. Adv. Model. Simul. Eng. Sci. 2(1): 13:1-13:24 (2015) - [j38]Jay Gopalakrishnan, Peter Monk, Paulina Sepúlveda:
A tent pitching scheme motivated by Friedrichs theory. Comput. Math. Appl. 70(5): 1114-1135 (2015) - [j37]Jayadeep Gopalakrishnan, F. Li, Ngoc Cuong Nguyen, Jaime Peraire:
Spectral approximations by the HDG method. Math. Comput. 84(293): 1037-1059 (2015) - 2014
- [j36]Pavel B. Bochev, Leszek F. Demkowicz, Jay Gopalakrishnan, Max D. Gunzburger:
Minimum Residual and Least Squares Finite Element Methods. Comput. Math. Appl. 68(11): 1479 (2014) - [j35]Timaeus Bouma, Jay Gopalakrishnan, Ammar Harb:
Convergence rates of the DPG method with reduced test space degree. Comput. Math. Appl. 68(11): 1550-1561 (2014) - [j34]Jay Gopalakrishnan, Weifeng Qiu:
An analysis of the practical DPG method. Math. Comput. 83(286): 537-552 (2014) - [j33]Carsten Carstensen, Leszek F. Demkowicz, Jayadeep Gopalakrishnan:
A Posteriori Error Control for DPG Methods. SIAM J. Numer. Anal. 52(3): 1335-1353 (2014) - [j32]Jayadeep Gopalakrishnan, Ignacio Muga, Nicole Olivares:
Dispersive and Dissipative Errors in the DPG Method with Scaled Norms for Helmholtz Equation. SIAM J. Sci. Comput. 36(1) (2014) - 2013
- [j31]Patrick De Leenheer, Jay Gopalakrishnan, Erica Zuhr:
Nonnegativity of exact and numerical solutions of some chemotactic models. Comput. Math. Appl. 66(3): 356-375 (2013) - [j30]Leszek F. Demkowicz, Jayadeep Gopalakrishnan:
A primal DPG method without a first-order reformulation. Comput. Math. Appl. 66(6): 1058-1064 (2013) - 2012
- [j29]Jay Gopalakrishnan, Minah Oh:
Commuting Smoothed Projectors in Weighted Norms with an Application to Axisymmetric Maxwell Equations. J. Sci. Comput. 51(2): 394-420 (2012) - [j28]Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Joachim Schöberl:
Polynomial extension operators. Part III. Math. Comput. 81(279): 1289-1326 (2012) - [j27]Jamie Bramwell, Leszek F. Demkowicz, Jay Gopalakrishnan, Weifeng Qiu:
A locking-free hp DPG method for linear elasticity with symmetric stresses. Numerische Mathematik 122(4): 671-707 (2012) - 2011
- [j26]J. Zitelli, Ignacio Muga, Leszek F. Demkowicz, Jayadeep Gopalakrishnan, David Pardo, Victor M. Calo:
A class of discontinuous Petrov-Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D. J. Comput. Phys. 230(7): 2406-2432 (2011) - [j25]Bernardo Cockburn, Jayadeep Gopalakrishnan, Ngoc Cuong Nguyen, Jaume Peraire, Francisco-Javier Sayas:
Analysis of HDG methods for Stokes flow. Math. Comput. 80(274): 723-760 (2011) - [j24]Jay Gopalakrishnan, Johnny Guzmán:
Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity. SIAM J. Numer. Anal. 49(4): 1504-1520 (2011) - [j23]Leszek F. Demkowicz, Jayadeep Gopalakrishnan:
Analysis of the DPG Method for the Poisson Equation. SIAM J. Numer. Anal. 49(5): 1788-1809 (2011) - 2010
- [j22]Bernardo Cockburn, Jayadeep Gopalakrishnan, Johnny Guzmán:
A new elasticity element made for enforcing weak stress symmetry. Math. Comput. 79(271): 1331-1349 (2010) - [j21]Bernardo Cockburn, Jayadeep Gopalakrishnan, Francisco-Javier Sayas:
A projection-based error analysis of HDG methods. Math. Comput. 79(271): 1351-1367 (2010) - [j20]Dylan M. Copeland, Jayadeep Gopalakrishnan, Minah Oh:
Multigrid in a weighted space arising from axisymmetric electromagnetics. Math. Comput. 79(272): 2033-2058 (2010) - [j19]Bernardo Cockburn, Jayadeep Gopalakrishnan, F. Li, Ngoc Cuong Nguyen, Jaume Peraire:
Hybridization and Postprocessing Techniques for Mixed Eigenfunctions. SIAM J. Numer. Anal. 48(3): 857-881 (2010) - 2009
- [j18]Jayadeep Gopalakrishnan, Shuguang Tan:
A convergent multigrid cycle for the hybridized mixed method. Numer. Linear Algebra Appl. 16(9): 689-714 (2009) - [j17]Bernardo Cockburn, Jayadeep Gopalakrishnan:
The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow. SIAM J. Numer. Anal. 47(2): 1092-1125 (2009) - [j16]Bernardo Cockburn, Jayadeep Gopalakrishnan, Raytcho D. Lazarov:
Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems. SIAM J. Numer. Anal. 47(2): 1319-1365 (2009) - [j15]Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Joachim Schöberl:
Polynomial Extension Operators. Part II. SIAM J. Numer. Anal. 47(5): 3293-3324 (2009) - 2008
- [j14]Dylan M. Copeland, Jayadeep Gopalakrishnan, Joseph E. Pasciak:
A mixed method for axisymmetric div-curl systems. Math. Comput. 77(264): 1941-1965 (2008) - [j13]Jay Gopalakrishnan, Shari Moskow, Fadil Santosa:
Asymptotic and Numerical Techniques for Resonances of Thin Photonic Structures. SIAM J. Appl. Math. 69(1): 37-63 (2008) - [j12]Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Joachim Schöberl:
Polynomial Extension Operators. Part I. SIAM J. Numer. Anal. 46(6): 3006-3031 (2008) - 2007
- [j11]Bernardo Cockburn, Jayadeep Gopalakrishnan, Haiying Wang:
Locally Conservative Fluxes for the Continuous Galerkin Method. SIAM J. Numer. Anal. 45(4): 1742-1776 (2007) - 2006
- [j10]Jayadeep Gopalakrishnan, Joseph E. Pasciak:
The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations. Math. Comput. 75(256): 1697-1719 (2006) - 2005
- [j9]Bernardo Cockburn, Jayadeep Gopalakrishnan:
Error analysis of variable degree mixed methods for elliptic problems via hybridization. Math. Comput. 74(252): 1653-1677 (2005) - [j8]Bernardo Cockburn, Jayadeep Gopalakrishnan:
Incompressible Finite Elements via Hybridization. Part I: The Stokes System in Two Space Dimensions. SIAM J. Numer. Anal. 43(4): 1627-1650 (2005) - [j7]Bernardo Cockburn, Jayadeep Gopalakrishnan:
Incompressible Finite Elements via Hybridization. Part II: The Stokes System in Three Space Dimensions. SIAM J. Numer. Anal. 43(4): 1651-1672 (2005) - 2004
- [j6]Jayadeep Gopalakrishnan, Joseph E. Pasciak, Leszek F. Demkowicz:
Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations. SIAM J. Numer. Anal. 42(1): 90-108 (2004) - [j5]Bernardo Cockburn, Jayadeep Gopalakrishnan:
A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems. SIAM J. Numer. Anal. 42(1): 283-301 (2004) - 2003
- [j4]Jayadeep Gopalakrishnan, Joseph E. Pasciak:
Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations. Math. Comput. 72(241): 1-15 (2003) - [j3]Jay Gopalakrishnan, Guido Kanschat:
A multilevel discontinuous Galerkin method. Numerische Mathematik 95(3): 527-550 (2003) - [j2]Jay Gopalakrishnan, Guido Kanschat:
A multilevel discontinuous Galerkin method. Numerische Mathematik 95(3): 551 (2003) - 2000
- [j1]Jayadeep Gopalakrishnan, Joseph E. Pasciak:
Multigrid for the Mortar Finite Element Method. SIAM J. Numer. Anal. 37(3): 1029-1052 (2000)
Informal and Other Publications
- 2024
- [i14]Jay Gopalakrishnan, Michael Neunteufel, Joachim Schöberl, Max Wardetzky:
On the improved convergence of lifted distributional Gauss curvature from Regge elements. CoRR abs/2401.12734 (2024) - [i13]Jay Gopalakrishnan, Johnny Guzmán, Jeonghun J. Lee:
The Johnson-Mercier elasticity element in any dimensions. CoRR abs/2403.13189 (2024) - [i12]Jay Gopalakrishnan, Jacob Grosek, Gabriel Pinochet-Soto, Pieter Vandenberge:
Adaptive resolution of fine scales in modes of microstructured optical fibers. CoRR abs/2403.19485 (2024) - 2023
- [i11]Sining Gong, Jay Gopalakrishnan, Johnny Guzmán, Michael Neilan:
Discrete Elasticity Exact Sequences on Worsey-Farin splits. CoRR abs/2302.08598 (2023) - [i10]Tamara Gratcheva, Yogesh N. Joglekar, Jay Gopalakrishnan:
PT-symmetry enabled stable modes in multi-core fiber. CoRR abs/2310.08814 (2023) - [i9]Jay Gopalakrishnan, Michael Neunteufel, Joachim Schöberl, Max Wardetzky:
Analysis of distributional Riemann curvature tensor in any dimension. CoRR abs/2311.01603 (2023) - 2022
- [i8]Jay Gopalakrishnan, Zheng Sun:
Stability of structure-aware Taylor methods for tents. CoRR abs/2203.05176 (2022) - [i7]Jay Gopalakrishnan, Michael Neunteufel, Joachim Schöberl, Max Wardetzky:
Analysis of curvature approximations via covariant curl and incompatibility for Regge metrics. CoRR abs/2206.09343 (2022) - 2021
- [i6]Dow Drake, Jay Gopalakrishnan, Joachim Schöberl, Christoph Wintersteiger:
Convergence analysis of some tent-based schemes for linear hyperbolic systems. CoRR abs/2101.04798 (2021) - [i5]Jay Gopalakrishnan, Benjamin Quanah Parker, Pieter Vandenberge:
Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems. CoRR abs/2104.13527 (2021) - [i4]Jay Gopalakrishnan, Lukas Kogler, Philip L. Lederer, Joachim Schöberl:
Minimal order H(div)-conforming velocity-vorticity approximations for incompressible fluids. CoRR abs/2112.00089 (2021) - 2020
- [i3]Jay Gopalakrishnan, Joachim Schöberl, Christoph Wintersteiger:
Structure aware Runge-Kutta time stepping for spacetime tents. CoRR abs/2002.12243 (2020) - [i2]Snorre H. Christiansen, Jay Gopalakrishnan, Johnny Guzmán, Kaibo Hu:
A discrete elasticity complex on three-dimensional Alfeld splits. CoRR abs/2009.07744 (2020) - 2019
- [i1]Jay Gopalakrishnan, Matthias Hochsteger, Joachim Schöberl, Christoph Wintersteiger:
An Explicit Mapped Tent Pitching Scheme for Maxwell Equations. CoRR abs/1906.11029 (2019)
Coauthor Index
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