The conjugated vs. the unconjugated infinite element method for the Helmholtz equation in exterior domains

DOI10.1016/S0045-7825(97)00186-2zbMath0944.65117MaRDI QIDQ1970657

K. Gerdes

Publication date: 24 September 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

convergencecomparison of methodsnumerical examplesHelmholtz equationexterior domainsinfinite element methodconjugated methodunconjugated method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

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• Solution of the 3D-Helmholtz equation in exterior domains of arbitrary shape using \(hp\)-finite-infinite elements
• Asymptotic convergence in finite and boundary element methods. I: Theoretical results
• Convergence of the infinite element methods for the Helmholtz equation in separable domains
• A comparison of approximate boundary conditions and infinite element methods for exterior Helmholtz problems
• Mapped Wave Envelope Elements for Acoustical Radiation and Scattering