Domain Decomposition for Boundary Integral Equations via Local Multi-Trace Formulations

DOI10.1007/978-3-319-05789-7_4zbMath1382.65429OpenAlexW2146445824MaRDI QIDQ3133616

Jin-Fa Lee, Zhen Peng, Carlos Jerez-Hanckes, Ralf Hiptmair

Publication date: 5 February 2018

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-05789-7_4

zbMATH Keywords

domain decompositionboundary integral equationsboundary element methodssecond-order boundary value problem

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Boundary element methods for boundary value problems involving PDEs (65N38)

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Closed Form Inverse of Local Multi-Trace Operators ⋮ Local multiple traces formulation for electromagnetics: stability and preconditioning for smooth geometries ⋮ Boundary integral multi-trace formulations and optimised Schwarz methods ⋮ A unified theory of non-overlapping Robin-Schwarz methods: continuous and discrete, including cross points ⋮ Multitrace/singletrace formulations and domain decomposition methods for the solution of Helmholtz transmission problems for bounded composite scatterers ⋮ Integral equations for acoustic scattering by partially impenetrable composite objects

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