Gopalakrishnan, Jayadeep

• 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)