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Gopalakrishnan, Jay

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Author ID: gopalakrishnan.jay Recent zbMATH articles by "Gopalakrishnan, Jay"
Published as: Gopalakrishnan, Jay; Gopalakrishnan, J.

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 951 times in 258 Documents Cited by Year
A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions. Zbl 1208.65164
Demkowicz, L.; Gopalakrishnan, J.
122
2011
A class of discontinuous Petrov-Galerkin methods. I: The transport equation. Zbl 1231.76142
Demkowicz, L.; Gopalakrishnan, J.
103
2010
Analysis of the DPG method for the Poisson equation. Zbl 1237.65122
Demkowicz, L.; Gopalakrishnan, J.
75
2011
Breaking spaces and forms for the DPG method and applications including Maxwell equations. Zbl 1359.65249
Carstensen, C.; Demkowicz, L.; Gopalakrishnan, J.
75
2016
An analysis of the practical DPG method. Zbl 1282.65154
Gopalakrishnan, J.; Qiu, W.
75
2014
A multilevel discontinuous Galerkin method. Zbl 1044.65084
Gopalakrishnan, J.; Kanschat, G.
70
2003
A class of discontinuous Petrov-Galerkin methods. IV: The optimal test norm and time-harmonic wave propagation in 1D. Zbl 1316.76054
Zitelli, J.; Muga, I.; Demkowicz, L.; Gopalakrishnan, J.; Pardo, D.; Calo, V. M.
66
2011
A class of discontinuous Petrov-Galerkin methods. III: Adaptivity. Zbl 1316.76047
Demkowicz, Leszek; Gopalakrishnan, Jay; Niemi, Antti H.
56
2012
A posteriori error control for DPG methods. Zbl 1320.65171
Carstensen, Carsten; Demkowicz, Leszek; Gopalakrishnan, Jay
41
2014
An overview of the discontinuous Petrov Galerkin method. Zbl 1282.65152
Demkowicz, Leszek F.; Gopalakrishnan, Jay
39
2014
A locking-free \(hp\) DPG method for linear elasticity with symmetric stresses. Zbl 1283.74094
Bramwell, Jamie; Demkowicz, Leszek; Gopalakrishnan, Jay; Qiu, Weifeng
31
2012
Polynomial extension operators. III. Zbl 1252.46022
Demkowicz, L.; Gopalakrishnan, J.; Schöberl, J.
21
2012
A spacetime DPG method for the Schrödinger equation. Zbl 1369.65122
Demkowicz, L.; Gopalakrishnan, J.; Nagaraj, S.; Sepúlveda, P.
20
2017
Convergence rates of the DPG method with reduced test space degree. Zbl 1364.65239
Bouma, Timaeus; Gopalakrishnan, Jay; Harb, Ammar
16
2014
Dispersive and dissipative errors in the DPG method with scaled norms for Helmholtz equation. Zbl 1290.65113
Gopalakrishnan, J.; Muga, I.; Olivares, N.
15
2014
Asymptotic and numerical techniques for resonances of thin photonic structures. Zbl 1159.78010
Gopalakrishnan, J.; Moskow, S.; Santosa, F.
12
2008
Nédélec spaces in affine coordinates. Zbl 1078.65103
Gopalakrishnan, J.; García-Castillo, L. E.; Demkowicz, L. F.
11
2005
Nonnegativity of exact and numerical solutions of some chemotactic models. Zbl 1344.92031
De Leenheer, Patrick; Gopalakrishnan, Jay; Zuhr, Erica
10
2013
Partial expansion of a Lipschitz domain and some applications. Zbl 1255.65149
Gopalakrishnan, Jay; Qiu, Weifeng
9
2012
Mixed finite element approximation of the vector Laplacian with Dirichlet boundary conditions. Zbl 1260.65100
Arnold, Douglas N.; Falk, Richard S.; Gopalakrishnan, Jay
8
2012
Commuting smoothed projectors in weighted norms with an application to axisymmetric Maxwell equations. Zbl 1252.78029
Gopalakrishnan, J.; Oh, M.
8
2012
Mapped tent pitching schemes for hyperbolic systems. Zbl 1378.65166
Gopalakrishnan, J.; Schöberl, J.; Wintersteiger, C.
8
2017
A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry. Zbl 1439.35368
Gopalakrishnan, Jay; Lederer, Philip L.; Schöberl, Joachim
7
2020
A mass conserving mixed stress formulation for the Stokes equations. Zbl 1466.65189
Gopalakrishnan, Jay; Lederer, Philip L.; Schöberl, Joachim
6
2020
Recent advances in least-squares and discontinuous Petrov-Galerkin finite element methods. Zbl 1420.65116
Bertrand, Fleurianne; Demkowicz, Leszek; Gopalakrishnan, Jay; Heuer, Norbert
6
2019
The DPG-star method. Zbl 1447.65133
Demkowicz, Leszek; Gopalakrishnan, Jay; Keith, Brendan
5
2020
Degree and wavenumber [in]dependence of Schwarz preconditioner for the DPG method. Zbl 1352.65506
Gopalakrishnan, Jay; Schöberl, Joachim
4
2015
Integration of \(hp\)-adaptivity and a two-grid solver for electromagnetic problems. Zbl 1131.78009
Pardo, D.; Demkowicz, L.; Gopalakrishnan, J.
4
2006
Spectral discretization errors in filtered subspace iteration. Zbl 1436.65067
Gopalakrishnan, Jay; Grubišić, Luka; Ovall, Jeffrey
4
2020
A scalable preconditioner for a primal discontinuous Petrov-Galerkin method. Zbl 1448.65213
Barker, A. T.; Dobrev, V.; Gopalakrishnan, J.; Kolev, T.
3
2018
A space-time DPG method for the wave equation in multiple dimensions. Zbl 1453.65319
Gopalakrishnan, Jay; Sepúlveda, Paulina
3
2019
Simulation of optical fiber amplifier gain using equivalent short fibers. Zbl 1441.78002
Drake, D.; Gopalakrishnan, J.; Goswami, T.; Grosek, J.
2
2020
A tent pitching scheme motivated by Friedrichs theory. Zbl 1443.65172
Gopalakrishnan, Jay; Monk, Peter; Sepúlveda, Paulina
2
2015
The auxiliary space preconditioner for the de Rham complex. Zbl 1402.65017
Gopalakrishnan, J.; Neumüller, M.; Vassilevski, P. S.
2
2018
Dispersion analysis of HDG methods. Zbl 1407.65287
Gopalakrishnan, Jay; Solano, Manuel; Vargas, Felipe
2
2018
Analysis of FEAST spectral approximations using the DPG discretization. Zbl 1420.65114
Gopalakrishnan, Jay; Grubišić, Luka; Ovall, Jeffrey; Parker, Benjamin
2
2019
Editorial: Minimum residual and least squares finite element methods. Zbl 1365.00053
1
2014
Scattering of electromagnetic waves by thin high contrast dielectrics. II: Asymptotics of the electric field and a method for inversion. Zbl 1373.35298
Ambrose, David M.; Gopalakrishnan, Jay; Moskow, Shari; Rome, Scott
1
2017
An explicit mapped tent pitching scheme for Maxwell equations. Zbl 1484.65219
Gopalakrishnan, Jay; Hochsteger, Matthias; Schöberl, Joachim; Wintersteiger, Christoph
1
2020
Instability in a generalized Keller-Segel model. Zbl 1447.92059
De Leenheer, Patrick; Gopalakrishnan, Jay; Zuhr, Erica
1
2012
The performance of a multigrid algorithm for the acoustic single layer equation. Zbl 1391.65180
Gemmrich, S.; Gopalakrishnan, J.; Nigam, N.
1
2008
Multilevel preconditioners for the interior penalty method. Zbl 1043.65067
Gopalakrishnan, J.; Kanschat, G.
1
2003
Reduced test spaces for DPG methods using rectangular elements. Zbl 1397.65261
Drake, Dow; Gopalakrishnan, Jay; Harb, Ammar
1
2017
Structure aware Runge-Kutta time stepping for spacetime tents. Zbl 1452.65232
Gopalakrishnan, Jay; Schöberl, Joachim; Wintersteiger, Christoph
1
2020
A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry. Zbl 1439.35368
Gopalakrishnan, Jay; Lederer, Philip L.; Schöberl, Joachim
7
2020
A mass conserving mixed stress formulation for the Stokes equations. Zbl 1466.65189
Gopalakrishnan, Jay; Lederer, Philip L.; Schöberl, Joachim
6
2020
The DPG-star method. Zbl 1447.65133
Demkowicz, Leszek; Gopalakrishnan, Jay; Keith, Brendan
5
2020
Spectral discretization errors in filtered subspace iteration. Zbl 1436.65067
Gopalakrishnan, Jay; Grubišić, Luka; Ovall, Jeffrey
4
2020
Simulation of optical fiber amplifier gain using equivalent short fibers. Zbl 1441.78002
Drake, D.; Gopalakrishnan, J.; Goswami, T.; Grosek, J.
2
2020
An explicit mapped tent pitching scheme for Maxwell equations. Zbl 1484.65219
Gopalakrishnan, Jay; Hochsteger, Matthias; Schöberl, Joachim; Wintersteiger, Christoph
1
2020
Structure aware Runge-Kutta time stepping for spacetime tents. Zbl 1452.65232
Gopalakrishnan, Jay; Schöberl, Joachim; Wintersteiger, Christoph
1
2020
Recent advances in least-squares and discontinuous Petrov-Galerkin finite element methods. Zbl 1420.65116
Bertrand, Fleurianne; Demkowicz, Leszek; Gopalakrishnan, Jay; Heuer, Norbert
6
2019
A space-time DPG method for the wave equation in multiple dimensions. Zbl 1453.65319
Gopalakrishnan, Jay; Sepúlveda, Paulina
3
2019
Analysis of FEAST spectral approximations using the DPG discretization. Zbl 1420.65114
Gopalakrishnan, Jay; Grubišić, Luka; Ovall, Jeffrey; Parker, Benjamin
2
2019
A scalable preconditioner for a primal discontinuous Petrov-Galerkin method. Zbl 1448.65213
Barker, A. T.; Dobrev, V.; Gopalakrishnan, J.; Kolev, T.
3
2018
The auxiliary space preconditioner for the de Rham complex. Zbl 1402.65017
Gopalakrishnan, J.; Neumüller, M.; Vassilevski, P. S.
2
2018
Dispersion analysis of HDG methods. Zbl 1407.65287
Gopalakrishnan, Jay; Solano, Manuel; Vargas, Felipe
2
2018
A spacetime DPG method for the Schrödinger equation. Zbl 1369.65122
Demkowicz, L.; Gopalakrishnan, J.; Nagaraj, S.; Sepúlveda, P.
20
2017
Mapped tent pitching schemes for hyperbolic systems. Zbl 1378.65166
Gopalakrishnan, J.; Schöberl, J.; Wintersteiger, C.
8
2017
Scattering of electromagnetic waves by thin high contrast dielectrics. II: Asymptotics of the electric field and a method for inversion. Zbl 1373.35298
Ambrose, David M.; Gopalakrishnan, Jay; Moskow, Shari; Rome, Scott
1
2017
Reduced test spaces for DPG methods using rectangular elements. Zbl 1397.65261
Drake, Dow; Gopalakrishnan, Jay; Harb, Ammar
1
2017
Breaking spaces and forms for the DPG method and applications including Maxwell equations. Zbl 1359.65249
Carstensen, C.; Demkowicz, L.; Gopalakrishnan, J.
75
2016
Degree and wavenumber [in]dependence of Schwarz preconditioner for the DPG method. Zbl 1352.65506
Gopalakrishnan, Jay; Schöberl, Joachim
4
2015
A tent pitching scheme motivated by Friedrichs theory. Zbl 1443.65172
Gopalakrishnan, Jay; Monk, Peter; Sepúlveda, Paulina
2
2015
An analysis of the practical DPG method. Zbl 1282.65154
Gopalakrishnan, J.; Qiu, W.
75
2014
A posteriori error control for DPG methods. Zbl 1320.65171
Carstensen, Carsten; Demkowicz, Leszek; Gopalakrishnan, Jay
41
2014
An overview of the discontinuous Petrov Galerkin method. Zbl 1282.65152
Demkowicz, Leszek F.; Gopalakrishnan, Jay
39
2014
Convergence rates of the DPG method with reduced test space degree. Zbl 1364.65239
Bouma, Timaeus; Gopalakrishnan, Jay; Harb, Ammar
16
2014
Dispersive and dissipative errors in the DPG method with scaled norms for Helmholtz equation. Zbl 1290.65113
Gopalakrishnan, J.; Muga, I.; Olivares, N.
15
2014
Editorial: Minimum residual and least squares finite element methods. Zbl 1365.00053
1
2014
Nonnegativity of exact and numerical solutions of some chemotactic models. Zbl 1344.92031
De Leenheer, Patrick; Gopalakrishnan, Jay; Zuhr, Erica
10
2013
A class of discontinuous Petrov-Galerkin methods. III: Adaptivity. Zbl 1316.76047
Demkowicz, Leszek; Gopalakrishnan, Jay; Niemi, Antti H.
56
2012
A locking-free \(hp\) DPG method for linear elasticity with symmetric stresses. Zbl 1283.74094
Bramwell, Jamie; Demkowicz, Leszek; Gopalakrishnan, Jay; Qiu, Weifeng
31
2012
Polynomial extension operators. III. Zbl 1252.46022
Demkowicz, L.; Gopalakrishnan, J.; Schöberl, J.
21
2012
Partial expansion of a Lipschitz domain and some applications. Zbl 1255.65149
Gopalakrishnan, Jay; Qiu, Weifeng
9
2012
Mixed finite element approximation of the vector Laplacian with Dirichlet boundary conditions. Zbl 1260.65100
Arnold, Douglas N.; Falk, Richard S.; Gopalakrishnan, Jay
8
2012
Commuting smoothed projectors in weighted norms with an application to axisymmetric Maxwell equations. Zbl 1252.78029
Gopalakrishnan, J.; Oh, M.
8
2012
Instability in a generalized Keller-Segel model. Zbl 1447.92059
De Leenheer, Patrick; Gopalakrishnan, Jay; Zuhr, Erica
1
2012
A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions. Zbl 1208.65164
Demkowicz, L.; Gopalakrishnan, J.
122
2011
Analysis of the DPG method for the Poisson equation. Zbl 1237.65122
Demkowicz, L.; Gopalakrishnan, J.
75
2011
A class of discontinuous Petrov-Galerkin methods. IV: The optimal test norm and time-harmonic wave propagation in 1D. Zbl 1316.76054
Zitelli, J.; Muga, I.; Demkowicz, L.; Gopalakrishnan, J.; Pardo, D.; Calo, V. M.
66
2011
A class of discontinuous Petrov-Galerkin methods. I: The transport equation. Zbl 1231.76142
Demkowicz, L.; Gopalakrishnan, J.
103
2010
Asymptotic and numerical techniques for resonances of thin photonic structures. Zbl 1159.78010
Gopalakrishnan, J.; Moskow, S.; Santosa, F.
12
2008
The performance of a multigrid algorithm for the acoustic single layer equation. Zbl 1391.65180
Gemmrich, S.; Gopalakrishnan, J.; Nigam, N.
1
2008
Integration of \(hp\)-adaptivity and a two-grid solver for electromagnetic problems. Zbl 1131.78009
Pardo, D.; Demkowicz, L.; Gopalakrishnan, J.
4
2006
Nédélec spaces in affine coordinates. Zbl 1078.65103
Gopalakrishnan, J.; García-Castillo, L. E.; Demkowicz, L. F.
11
2005
A multilevel discontinuous Galerkin method. Zbl 1044.65084
Gopalakrishnan, J.; Kanschat, G.
70
2003
Multilevel preconditioners for the interior penalty method. Zbl 1043.65067
Gopalakrishnan, J.; Kanschat, G.
1
2003
all top 5

Cited by 373 Authors

41 Demkowicz, Leszek F.
20 Heuer, Norbert
16 Führer, Thomas
14 Gopalakrishnan, Jay
9 Bacuta, Constantin
9 Carstensen, Carsten
9 Karkulik, Michael
8 Muga, Ignacio
7 Calo, Victor Manuel
7 Keith, Brendan
7 Qiu, Weifeng
6 Chan, Jesse
6 Jacavage, Jacob
6 Roberts, Nathan V.
6 Stevenson, Rob P.
6 van der Zee, Kristoffer George
5 Dahmen, Wolfgang A.
5 Niemi, Antti H.
5 Pardo, David
5 Wieners, Christian
4 Bui-Thanh, Tan
4 Du, Yu
4 El-Amrani, Mofdi
4 Fuentes, Federico
4 Hellwig, Friederike
4 Khouya, Bassou
4 Rojas, Sergio
4 Sayas, Francisco-Javier
4 Seaïd, Mohammed
4 Valseth, Eirik
3 Abbaszadeh, Mostafa
3 Ammari, Habib M.
3 Bertoluzza, Silvia
3 Bertrand, Fleurianne
3 Burman, Erik
3 Cai, Zhiqiang
3 Chen, Huangxin
3 Cockburn, Bernardo
3 Dehghan Takht Fooladi, Mehdi
3 Ern, Alexandre
3 Fitzpatrick, Brian
3 Guillén González, Francisco M.
3 Henneking, Stefan
3 Lederer, Philip Lukas
3 Mora, Jaime
3 Muñoz-Matute, Judit
3 Nagaraj, Sriram
3 Nguyen, Ngoc Cuong
3 Peterseim, Daniel
3 Petrides, Socratis
3 Qirko, Klajdi
3 Rodríguez-Bellido, Maria Angeles
3 Rueda-Gómez, Diego Armando
3 Smetana, Kathrin
3 Valentin, Frédéric
3 Westerdiep, Jan
3 Zhu, Lingxue
2 Allix, Olivier
2 Bause, Markus
2 Bramwell, Jamie A.
2 Broersen, Dirk
2 Brunken, Julia
2 Cecot, Witold
2 Chen, Jingshuang
2 Collier, Nathaniel O.
2 Dabrowski, Alexander
2 Dawson, Clint N.
2 Drake, Dow
2 Dutra do Carmo, Eduardo Gomes
2 Ellis, Truman E.
2 Engström, Christian
2 Gallistl, Dietmar
2 Gerritsma, Marc I.
2 Ghattas, Omar N.
2 Grosek, Jacob
2 Grubišić, Luka
2 Harb, Ammar
2 Harder, Christopher
2 Hayes, Daniel
2 Houston, Paul
2 Ibrahim, Moustafa
2 Ladevèze, Pierre
2 Li, Jichun
2 Liu, Min
2 Lytaev, M. S.
2 Mansur, Webe Joao
2 Millien, Pierre
2 Moser, Robert D.
2 Moskow, Shari
2 Ovall, Jeffrey S.
2 Prada, Daniele
2 Roggendorf, Sarah
2 Romkes, Albert
2 Saad, Mazen
2 Schöberl, Joachim
2 Shen, Jiguang
2 Shi, Ke
2 Storn, Johannes
2 Sun, Shuyu
2 Tian, Xiaochuan
...and 273 more Authors
all top 5

Cited in 52 Serials

67 Computers & Mathematics with Applications
30 Computer Methods in Applied Mechanics and Engineering
19 SIAM Journal on Numerical Analysis
17 Computational Methods in Applied Mathematics
13 Journal of Computational Physics
12 Mathematics of Computation
9 Numerische Mathematik
7 Journal of Computational and Applied Mathematics
6 Applied Numerical Mathematics
6 SIAM Journal on Scientific Computing
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Computational Mechanics
4 Journal of Scientific Computing
3 Numerical Methods for Partial Differential Equations
3 Journal of Mathematical Sciences (New York)
3 Oberwolfach Reports
2 Journal of Mathematical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Advances in Computational Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Multiscale Modeling & Simulation
2 Communications in Computational Physics
2 Results in Applied Mathematics
1 Acta Mechanica
1 Applicable Analysis
1 Computers and Fluids
1 Journal of Mathematical Analysis and Applications
1 Wave Motion
1 Applied Mathematics and Computation
1 International Journal for Numerical Methods in Engineering
1 Journal of Differential Equations
1 Mathematics and Computers in Simulation
1 Bulletin of the Iranian Mathematical Society
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Numerical Algorithms
1 International Journal of Computer Mathematics
1 SIAM Journal on Applied Mathematics
1 Journal of Nonlinear Science
1 Engineering Analysis with Boundary Elements
1 Journal of Mathematical Fluid Mechanics
1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
1 Communications in Nonlinear Science and Numerical Simulation
1 Computational Geosciences
1 Archives of Computational Methods in Engineering
1 Foundations of Computational Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 International Journal of Computational Methods
1 International Journal of Differential Equations
1 ISRN Applied Mathematics
1 Communications on Applied Mathematics and Computation
1 Journal of Computational and Theoretical Transport

Citations by Year