Pole condition: A numerical method for Helmholtz-type scattering problems with inhomogeneous exterior domain

DOI10.1016/j.cam.2007.04.046zbMath1143.65093OpenAlexW2053369532MaRDI QIDQ930697

Elsie Sterbin Gottlieb

Publication date: 1 July 2008

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.2007.04.046

zbMATH Keywords

transparent boundary conditionssemidiscretizationrepresentation formulapole condition

Mathematics Subject Classification ID

Related Items (5)

Mixed unsplit-field perfectly matched layers for transient simulations of scalar waves in heterogeneous domains ⋮ Complete radiation boundary conditions for the Helmholtz equation. II: Domains with corners ⋮ Hardy space infinite elements for Helmholtz-type problems with unbounded inhomogeneities ⋮ A complex function method of SH wave scattering in inhomogeneous medium ⋮ Transparent boundary conditions based on the pole condition for time-dependent, two-dimensional problems

Cites Work

• A new finite element realization of the perfectly matched layer method for Helmholtz scattering problems on polygonal domains in two dimensions
• Solution of 3D-Laplace and Helmholtz equations in exterior domains using \(hp\)-infinite elements
• Solving Time-Harmonic Scattering Problems Based on the Pole Condition I: Theory
• Unnamed Item

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