Combining the ultra-weak variational formulation and the multilevel fast multipole method

DOI10.1016/j.apnum.2011.07.004zbMath1241.78049OpenAlexW2060442057MaRDI QIDQ415193

Peter B. Monk, Eric Darrigrand

Publication date: 11 May 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2011.07.004

zbMATH Keywords

integral representationABCmultilevel fast multipole methodultra-weak variational formulation

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Variational methods applied to problems in optics and electromagnetic theory (78M30) Maxwell equations (35Q61) Multipole methods applied to problems in optics and electromagnetic theory (78M16)

Related Items (max. 100)

Improvements for the ultra weak variational formulation

Cites Work

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• Coupling of the ultra-weak variational formulation and an integral representation using a fast multipole method in electromagnetism
• Inverse acoustic and electromagnetic scattering theory.
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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
• Error Analysis of a Finite Element--Integral Equation Scheme for Approximating the Time-Harmonic Maxwell System
• A novel hybridization of higher order finite element and boundary integral methods for electromagnetic scattering and radiation problems
• On the Solution of Time-Harmonic Scattering Problems for Maxwell’s Equations
• Ultra-Weak Variational Formulation and efficient Integral Representation in Electromagnetism: a thorough study of the algorithm complexity

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