A domain decomposition method based on natural boundary reduction for nonlinear time-dependent exterior wave problems

DOI10.1007/s00607-001-1432-yzbMath1004.65098OpenAlexW1529187820MaRDI QIDQ1599815

Publication date: 6 February 2003

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-001-1432-y

zbMATH Keywords

algorithm convergence numerical results finite element method domain decomposition exterior domain nonlinear wave equations iterative Schwarz alternating scheme

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Second-order nonlinear hyperbolic equations (35L70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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The superconvergence of composite Newton-Cotes rules for Hadamard finite-part integral on a circle ⋮ DRBEM solution of exterior nonlinear wave problem using FDM and LSM time integrations ⋮ Numerical solution of a certain hypersingular integral equation of the first kind ⋮ 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 ⋮ Overlap domain decomposition method for bioluminescence tomography (BLT) ⋮ The superconvergence of composite trapezoidal rule for Hadamard finite-part integral on a circle and its application ⋮ A Schwarz alternating algorithm for elliptic boundary value problems in an infinite domain with a concave angle

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