Solving Maxwell's equations using the ultra weak variational formulation

DOI10.1016/j.jcp.2006.10.016zbMath1117.78011OpenAlexW2051710235MaRDI QIDQ882087

Tomi Huttunen, Peter B. Monk, Matti Malinen

Publication date: 23 May 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.10.016

zbMATH Keywords

plane wavenumerical methodsMaxwell's equationsvariational methodelectromagnetismultra weak variational formulation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Einstein-Maxwell equations (83C22) Variational principles of physics (49S05) Variational methods applied to problems in optics and electromagnetic theory (78M30)

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Uses Software

• COMSOL

Cites Work

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• Topics in computational wave propagation. Direct and inverse problems
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• The fast multipole method: Numerical implementation
• Using Plane Waves as Base Functions for Solving Time Harmonic Equations with the Ultra Weak Variational Formulation
• A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
• Coupling of Finite Elements and Boundary Elements in Electromagnetic Scattering
• Finite Element Methods for Maxwell's Equations
• Error estimates in the fast multipole method for scattering problems Part 1: Truncation of the Jacobi-Anger series
• The perfectly matched layer for the ultra weak variational formulation of the 3D Helmholtz equation
• How good can polynomial interpolation on the sphere be?

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