Coupling of the ultra-weak variational formulation and an integral representation using a fast multipole method in electromagnetism

DOI10.1016/j.cam.2006.03.030zbMath1136.78008OpenAlexW2075552902MaRDI QIDQ883472

Peter B. Monk, Eric Darrigrand

Publication date: 4 June 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.03.030

zbMATH Keywords

integral representationfast multipole methodabsorbing boundary conditions (ABC)ultra-weak variational formulation

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items (4)

Convergence of Krylov subspace solvers with Schwarz preconditioner for the exterior Maxwell problem ⋮ Solving Maxwell's equations using the ultra weak variational formulation ⋮ Improvements for the ultra weak variational formulation ⋮ Combining the ultra-weak variational formulation and the multilevel fast multipole method

Cites Work

• Unnamed Item
• Inverse acoustic and electromagnetic scattering theory.
• Coupling of fast multipole method and microlocal discretization for the 3-D Helmholtz equation
• The fast multipole method: Numerical implementation
• Using Plane Waves as Base Functions for Solving Time Harmonic Equations with the Ultra Weak Variational Formulation
• 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

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