Computer Algebra Meets Finite Elements: An Efficient Implementation for Maxwell’s Equations

Texts & Monographs in Symbolic Computation - Numerical and Symbolic Scientific Computing ◽

10.1007/978-3-7091-0794-2_6 ◽

2011 ◽

pp. 105-121 ◽

Cited By ~ 2

Author(s):

Christoph Koutschan ◽

Christoph Lehrenfeld ◽

Joachim Schöberl

Keyword(s):

Finite Elements ◽

Computer Algebra ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Efficient Implementation

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Plane wave ℋ (curl; Ω) conforming finite elements for Maxwell's equations

Computational Mechanics ◽

10.1007/s00466-003-0430-7 ◽

2003 ◽

Vol 31 (3) ◽

pp. 272-283 ◽

Cited By ~ 5

Author(s):

P. D. Ledger ◽

K. Morgan ◽

O. Hassan ◽

N. P. Weatherill

Keyword(s):

Finite Elements ◽

Plane Wave ◽

Maxwell’S Equations ◽

Maxwell's Equations

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Utilization of wavelet concepts in finite elements for an efficient solution of Maxwell's equations

Radio Science ◽

10.1029/94rs00975 ◽

1994 ◽

Vol 29 (4) ◽

pp. 965-977 ◽

Cited By ~ 10

Author(s):

Tapan K. Sarkar ◽

Raviraj S. Adve ◽

Luis Emilio García-Castillo ◽

Magdalena Salazar-Palma

Keyword(s):

Finite Elements ◽

Maxwell’S Equations ◽

Efficient Solution ◽

Maxwell's Equations

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On the approximation of electromagnetic fields by edge finite elements. Part 2: A heterogeneous multiscale method for Maxwell’s equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.02.043 ◽

2017 ◽

Vol 73 (9) ◽

pp. 1900-1919 ◽

Cited By ~ 9

Author(s):

Patrick Ciarlet Jr. ◽

Sonia Fliss ◽

Christian Stohrer

Keyword(s):

Finite Elements ◽

Electromagnetic Fields ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Multiscale Method ◽

Heterogeneous Multiscale

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A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements

Journal of Computational Physics ◽

10.1016/j.jcp.2012.01.025 ◽

2012 ◽

Vol 231 (9) ◽

pp. 3770-3783 ◽

Cited By ~ 24

Author(s):

Paul Tsuji ◽

Bjorn Engquist ◽

Lexing Ying

Keyword(s):

Finite Elements ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Time Harmonic

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Efficient mixed finite elements for the lossy Maxwell's equations in time-domain

2003 IEEE International Symposium on Electromagnetic Compatibility, 2003. EMC '03. ◽

10.1109/icsmc2.2003.1429025 ◽

2003 ◽

Author(s):

G. Cohen ◽

X. Ferrieres ◽

P. Monk ◽

S. Pernet

Keyword(s):

Finite Elements ◽

Time Domain ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Mixed Finite Elements

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Coupling finite elements and auxiliary sources for Maxwell's equations

International Journal of Numerical Modelling Electronic Networks Devices and Fields ◽

10.1002/jnm.2534 ◽

2018 ◽

Vol 33 (5) ◽

Cited By ~ 2

Author(s):

Daniele Casati ◽

Ralf Hiptmair ◽

Jasmin Smajic

Keyword(s):

Finite Elements ◽

Maxwell’S Equations ◽

Maxwell's Equations

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Efficient implementation issues of finite difference time-domain codes for Maxwell's equations

International Journal of Numerical Modelling Electronic Networks Devices and Fields ◽

10.1002/jnm.1660060304 ◽

1993 ◽

Vol 6 (3) ◽

pp. 195-206

Author(s):

Joe Lovetri ◽

George I. Costache

Keyword(s):

Finite Difference ◽

Time Domain ◽

Finite Difference Time Domain ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Efficient Implementation ◽

Difference Time

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Generation of higher-order polynomial basis of Nédélec H(curl) finite elements for Maxwell’s equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.08.044 ◽

2010 ◽

Vol 234 (6) ◽

pp. 1937-1944 ◽

Cited By ~ 2

Author(s):

M. Bergot ◽

P. Lacoste

Keyword(s):

Finite Elements ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Higher Order ◽

Polynomial Basis ◽

Order Polynomial

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An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell’s equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.11.013 ◽

2018 ◽

Vol 75 (5) ◽

pp. 1498-1514 ◽

Cited By ~ 4

Author(s):

Marcella Bonazzoli ◽

Victorita Dolean ◽

Frédéric Hecht ◽

Francesca Rapetti

Keyword(s):

Finite Elements ◽

Maxwell’S Equations ◽

Implementation Strategy ◽

Maxwell's Equations ◽

High Order ◽

Time Harmonic

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Application of the Discontinuous Galerkin Method to Maxwell’s Equations Using Unstructured Polymorphic hp-Finite Elements

Lecture Notes in Computational Science and Engineering - Discontinuous Galerkin Methods ◽

10.1007/978-3-642-59721-3_47 ◽

2000 ◽

pp. 451-458 ◽

Cited By ~ 13

Author(s):

Tim Warburton

Keyword(s):

Finite Elements ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Hp Finite Elements

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