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Gopalakrishnan, Jay; Hochsteger, Matthias; Schöberl, Joachim; Wintersteiger, Christoph

An explicit mapped tent pitching scheme for Maxwell equations. (English) Zbl 1484.65219

Sherwin, Spencer J. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2018. Selected papers from the ICOSAHOM conference, London, UK, July 9–13, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 134, 359-369 (2020).

MSC: 65M60 65L06 41A58 65N50 78A25 78M10 35Q61

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Ambrose, David M.; Gopalakrishnan, Jay; Moskow, Shari; Rome, Scott

Scattering of electromagnetic waves by thin high contrast dielectrics. II: Asymptotics of the electric field and a method for inversion. (English) Zbl 1373.35298

Commun. Math. Sci. 15, No. 4, 1041-1053 (2017).

MSC: 35Q61 78M10 35B40 35C20 45E99 78A45 78A46

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Carstensen, C.; Demkowicz, L.; Gopalakrishnan, J.

Breaking spaces and forms for the DPG method and applications including Maxwell equations. (English) Zbl 1359.65249

Comput. Math. Appl. 72, No. 3, 494-522 (2016).

MSC: 65N30 65N12 78A25 78M10

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Gopalakrishnan, J.; Oh, M.

Commuting smoothed projectors in weighted norms with an application to axisymmetric Maxwell equations. (English) Zbl 1252.78029

J. Sci. Comput. 51, No. 2, 394-420 (2012).

MSC: 78M10 35Q61 65M12

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Copeland, Dylan M.; Gopalakrishnan, Jayadeep; Oh, Minah

Multigrid in a weighted space arising from axisymmetric electromagnetics. (English) Zbl 1198.78010

Math. Comput. 79, No. 272, 2033-2058 (2010).

MSC: 78M10 65M55 65N55 65F10 65N30

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Copeland, Dylan M.; Gopalakrishnan, Jayadeep; Pasciak, Joseph E.

A mixed method for axisymmetric div-curl systems. (English) Zbl 1202.78027

Math. Comput. 77, No. 264, 1941-1965 (2008).

MSC: 78M10 65F10 65N30 78A30 35Q60 65N15

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Gopalakrishnan, J.; Moskow, S.; Santosa, F.

Asymptotic and numerical techniques for resonances of thin photonic structures. (English) Zbl 1159.78010

SIAM J. Appl. Math. 69, No. 1, 37-63 (2008).

MSC: 78M10 78M35 65R20 65F15

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Pardo, D.; Demkowicz, L.; Gopalakrishnan, J.

Integration of \(hp\)-adaptivity and a two-grid solver for electromagnetic problems. (English) Zbl 1131.78009

Comput. Methods Appl. Mech. Eng. 195, No. 19-22, 2533-2573 (2006).

Reviewer: Johannes Elschner (Berlin)

MSC: 78M10 65N55

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Gopalakrishnan, Jayadeep; Pasciak, Joseph E.

The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations. (English) Zbl 1119.65106

Math. Comput. 75, No. 256, 1697-1719 (2006).

Reviewer: Michel Bernadou (Paris La Defense)

MSC: 65N12 65N55 65F10 65N30 35Q60 35J05 78M10

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Gopalakrishnan, Jayadeep; Pasciak, Joseph E.; Demkowicz, Leszek F.

Analysis of a multigrid algorithm for time harmonic Maxwell equations. (English) Zbl 1079.78025

SIAM J. Numer. Anal. 42, No. 1, 90-108 (2004).

Reviewer: Luca F. Pavarino (Milano)

MSC: 78M10 65F10 65N55 65N30

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Dobson, David C.; Gopalakrishnan, Jayadeep; Pasciak, Joseph E.

An efficient method for band structure calculations in 3D photonic crystals. (English) Zbl 1034.78013

J. Comput. Phys. 161, No. 2, 668-679 (2000).

MSC: 78M10 78M25

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