Gopalakrishnan, Jayadeep
36
papers
- 2831058
Gopalakrishnan, J.(1-FL); Guzmán, J.(1-BRN-A)
Symmetric nonconforming mixed finite elements for linear elasticity. (English summary)
SIAM J. Numer. Anal. 49 (2011), no. 4, 1504–1520.
65N30 (35Q74 74B05 74S05)
- 2772923
Zitelli, J.(1-TX-CPE); Muga, I.(1-TX-CPE); Demkowicz, L.(1-TX-CPE); Gopalakrishnan, J.(1-FL); Pardo, D.(E-EHU-SOR); Calo, V. M.
A class of discontinuous Petrov-Galerkin methods. Part IV: the optimal test norm and time-harmonic wave propagation in 1D. (English summary)
J. Comput. Phys. 230 (2011), no. 7, 2406–2432.
65N30 (65N12)
- 2772094
Cockburn, Bernardo(1-MN-SM); Gopalakrishnan, Jayadeep(1-FL); Nguyen, Ngoc Cuong(1-MIT-AA); Peraire, Jaume(1-MIT-AA); Sayas, Francisco-Javier(E-ZRGZ-AM)
Analysis of HDG methods for Stokes flow. (English summary)
Math. Comp. 80 (2011), no. 274, 723–760.
65N30 (35Q35 76Mxx)
- 2743600
Demkowicz, L.(1-TX-AE); Gopalakrishnan, J.(1-FL)
A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions. (English summary)
Numer. Methods Partial Differential Equations 27 (2011), no. 1, 70–105.
65N30
- 2684354
Copeland, Dylan M.(1-TXAM); Gopalakrishnan, Jayadeep(1-FL); Oh, Minah(1-FL)
Multigrid in a weighted space arising from axisymmetric electromagnetics. (English summary)
Math. Comp. 79 (2010), no. 272, 2033–2058.
65N55 (65N30 78M10)
- 2669393
Cockburn, B.(1-MN-SM); Gopalakrishnan, J.(1-FL); Li, F.(1-RSP); Nguyen, N.-C.(1-MIT-AA); Peraire, J.(1-MIT-AA)
Hybridization and postprocessing techniques for mixed eigenfunctions. (English summary)
SIAM J. Numer. Anal. 48 (2010), no. 3, 857–881.
65N25 (65N30)
- 2630162
Demkowicz, L.(1-TX-CPE); Gopalakrishnan, J.(1-FL)
A class of discontinuous Petrov-Galerkin methods. Part I: The transport equation. (English summary)
Comput. Methods Appl. Mech. Engrg. 199 (2010), no. 23-24, 1558--1572.
65N30
- 2629996
Cockburn, Bernardo(1-MN-SM); Gopalakrishnan, Jayadeep(1-FL); Sayas, Francisco-Javier(E-ZRGZ-AM)
A projection-based error analysis of HDG methods. (English summary)
Math. Comp. 79 (2010), no. 271, 1351--1367.
65N30 (35L65 65N15)
- 2629995
Cockburn, Bernardo(1-MN-SM); Gopalakrishnan, Jayadeep(1-FL); Guzmán, Johnny(1-BRN-A)
A new elasticity element made for enforcing weak stress symmetry. (English summary)
Math. Comp. 79 (2010), no. 271, 1331--1349.
65N30 (35L65 74A10 74S05)
- 2551195
Demkowicz, Leszek(1-TX-CPE); Gopalakrishnan, Jayadeep(1-FL); Schöberl, Joachim(D-AACH-CES)
Polynomial extension operators. II. (English summary)
SIAM J. Numer. Anal. 47 (2009), no. 5, 3293--3324.
46Exx (31B10 47H60 65N30)
- 2554498
Gopalakrishnan, Jayadeep(1-FL); Tan, Shuguang(1-FL)
A convergent multigrid cycle for the hybridized mixed method. (English summary)
Numer. Linear Algebra Appl. 16 (2009), no. 9, 689--714.
65N55 (65N30)
- 2485455
Cockburn, Bernardo(1-MN-SM); Gopalakrishnan, Jayadeep(1-FL); Lazarov, Raytcho(1-TXAM)
Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. (English summary)
SIAM J. Numer. Anal. 47 (2009), no. 2, 1319--1365.
65N30
- 2485446
Cockburn, Bernardo(1-MN-SM); Gopalakrishnan, Jayadeep(1-FL)
The derivation of hybridizable discontinuous Galerkin methods for Stokes flow. (English summary)
SIAM J. Numer. Anal. 47 (2009), no. 2, 1092--1125.
65N30 (35A35 35J55 35Q35)
- 2463666
Gopalakrishnan, J.(1-FL); Pasciak, J. E.(1-TXAM)
Multigrid convergence for second order elliptic problems with smooth complex coefficients. (English summary)
Comput. Methods Appl. Mech. Engrg. 197 (2008), no. 49-50, 4411--4418.
65Nxx
- 2447938
Gopalakrishnan, J.(1-FL); Moskow, S.(1-DREX); Santosa, F.(1-MN-SM)
Asymptotic and numerical techniques for resonances of thin photonic structures. (English summary)
SIAM J. Appl. Math. 69 (2008), no. 1, 37--63.
34E10 (78A35 78M10)
- 2439500
Demkowicz, Leszek(1-TX-CPE); Gopalakrishnan, Jayadeep(1-FL); Schöberl, Joachim(D-AACH-CES)
Polynomial extension operators. I. (English summary)
SIAM J. Numer. Anal. 46 (2008), no. 6, 3006--3031.
46E35 (31B10 46E39 65N30)
- 2429870
Copeland, Dylan M.; Gopalakrishnan, Jayadeep(1-FL); Pasciak, Joseph E.(1-TXAM)
A mixed method for axisymmetric div-curl systems. (English summary)
Math. Comp. 77 (2008), no. 264, 1941--1965.
65N30 (35Q60)
- 2338408
Cockburn, Bernardo(1-MN-SM); Gopalakrishnan, Jayadeep(1-FL); Wang, Haiying(1-MN-SM)
Locally conservative fluxes for the continuous Galerkin method. (English summary)
SIAM J. Numer. Anal. 45 (2007), no. 4, 1742--1776 (electronic).
65N30 (35J25)
- 2240631
Gopalakrishnan, Jayadeep(1-FL); Pasciak, Joseph E.(1-TXAM)
The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations. (English summary)
Math. Comp. 75 (2006), no. 256, 1697--1719 (electronic).
65M55 (65F10 65N30 65N55)
- 2207481
Pardo, D.(1-TX-CPE); Demkowicz, L.(1-TX-CPE); Gopalakrishnan, J.(1-FL)
Integration of $hp$-adaptivity and a two grid solver for electromagnetic problems.
(English. English summary)
Comput. Methods Appl. Mech. Engrg. 195 (2006), no. 19-22, 2533--2573.
78M10 (65N55)
- 2192479
Cockburn, Bernardo(1-MN-SM); Gopalakrishnan, Jayadeep(1-FL)
New hybridization techniques.
(English. English summary)
GAMM-Mitt. 28 (2005), no. 2, 154--182.
65N30
- 2182143
Cockburn, Bernardo(1-MN-SM); Gopalakrishnan, Jayadeep(1-FL)
Incompressible finite elements via hybridization. II. The Stokes system in three space dimensions.
(English. English summary)
SIAM J. Numer. Anal. 43 (2005), no. 4, 1651--1672 (electronic).
65N30 (76D07 76M10)
- 2182142
Cockburn, Bernardo(1-MN-SM); Gopalakrishnan, Jayadeep(1-FL)
Incompressible finite elements via hybridization. I. The Stokes system in two space dimensions.
(English. English summary)
SIAM J. Numer. Anal. 43 (2005), no. 4, 1627--1650 (electronic).
65N30 (76D07 76M10)
- 2164091
Cockburn, Bernardo(1-MN-SM); Gopalakrishnan, Jayadeep(1-FL)
Error analysis of variable degree mixed methods for elliptic problems via hybridization.
(English. English summary)
Math. Comp. 74 (2005), no. 252, 1653--1677 (electronic).
65N30
- 2141266
Gopalakrishnan, J.(1-FL); García-Castillo, L. E.(E-ALCA-SGP); Demkowicz, L. F.(1-TX-AE)
Nédélec spaces in affine coordinates.
(English. English summary)
Comput. Math. Appl. 49 (2005), no. 7-8, 1285--1294.
65N30
- 2059719
Gopalakrishnan, Jayadeep(1-FL); Demkowicz, Leszek F.(1-TX-AE)
Quasioptimality of some spectral mixed methods.
(English. English summary)
J. Comput. Appl. Math. 167 (2004), no. 1, 163--182.
65N35 (35Q60)
- 2051067
Cockburn, Bernardo(1-MN-SM); Gopalakrishnan, Jayadeep(1-FL)
A characterization of hybridized mixed methods for second order elliptic problems.
(English. English summary)
SIAM J. Numer. Anal. 42 (2004), no. 1, 283--301 (electronic).
65N30
- 2051058
Gopalakrishnan, Jayadeep(1-FL); Pasciak, Joseph E.(1-TXAM); Demkowicz, Leszek F.(1-TX-AE)
Analysis of a multigrid algorithm for time harmonic Maxwell equations.
(English. English summary)
SIAM J. Numer. Anal. 42 (2004), no. 1, 90--108 (electronic).
65N55 (65N30 78M10)
- 2360854
Gopalakrishnan, J.(1-FL); Kanschat, G.(D-HDBG-A)
Multilevel preconditioners for the interior penalty method. (English summary) Numerical mathematics and advanced applications, 795--804, Springer Italia, Milan, 2003.
65F10
- 2012932
Erratum to: "A multilevel discontinuous Galerkin method" [Numer. Math. 95 (2003), no. 3, 527--550; MR2012931] by J. Gopalakrishnan and G. Kanschat.
Numer. Math. 95 (2003), no. 3, 551.
65N22 (65N55)
- 2012931
Gopalakrishnan, J.(1-FL); Kanschat, G.(D-HDBG-A)
A multilevel discontinuous Galerkin method.
(English. English summary)
Numer. Math. 95 (2003), no. 3, 527--550.
65N22 (65N55)
- 2002260
Gopalakrishnan, Jayadeep(1-FL)
A Schwarz preconditioner for a hybridized mixed method.
(English. English summary)
Dedicated to Raytcho Lazarov.
Comput. Methods Appl. Math. 3 (2003), no. 1, 116--134 (electronic).
65F10 (65N22 65N55)
- 1933811
Gopalakrishnan, Jayadeep(1-MN-MA); Pasciak, Joseph E.(1-TXAM)
Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations.
(English. English summary)
Math. Comp. 72 (2003), no. 241, 1--15 (electronic).
78M10 (65F10 65N22 65N30)
- 1773187
Gopalakrishnan, J.(1-MN-MA)
Mortar estimates independent of number of subdomains.
(English. English summary)
East-West J. Numer. Math. 8 (2000), no. 2, 111--125.
65N30 (65N15 65N55)
- 1764252
Dobson, David C.(1-TXAM); Gopalakrishnan, Jayadeep(1-MN-MA); Pasciak, Joseph E.(1-TXAM)
An efficient method for band structure calculations in 3D photonic crystals.
(English. English summary)
J. Comput. Phys. 161 (2000), no. 2, 668--679.
78M10 (78M25)
- 1749248
Gopalakrishnan, Jayadeep(1-TXAM); Pasciak, Joseph E.(1-TXAM)
Multigrid for the mortar finite element method.
(English. English summary)
SIAM J. Numer. Anal. 37 (2000), no. 3, 1029--1052 (electronic).
65N30 (65F10)
Last update made
Sun Jan 15 07:01:05 EST 2012