A Schwarz alternating algorithm for elliptic boundary value problems in an infinite domain with a concave angle

DOI10.1016/J.AMC.2003.10.042zbMath1071.65171OpenAlexW1990565762MaRDI QIDQ702596

Min Yang, Qikui Du

Publication date: 17 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.10.042

zbMATH Keywords

convergencefinite element methodboundary element methodnumerical experimentsSchwarz alternating algorithmelliptic boundary value problemsIteration methodArtificial boundaryConcave angleInfinite domain

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) 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) Iterative numerical methods for linear systems (65F10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

Solution of multiple crack problem in a finite plate using an alternating method based on two kinds of integral equation ⋮ The Schwartz alternating algorithm for solving 3D exterior Helmholtz problems ⋮ Dirichlet-Neumann alternating algorithm for an exterior anisotropic quasilinear elliptic problem. ⋮ A nonoverlapping domain decomposition method for an exterior anisotropic quasilinear elliptic problem in elongated domains ⋮ A Schwarz alternating algorithm for a three-dimensional exterior harmonic problem with prolate spheroid boundary

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