Dirichlet-Neumann alternating algorithm based on the natural boundary reduction for time-dependent problems over an unbounded domain

DOI10.1016/S0168-9274(02)00188-5zbMath1013.65102OpenAlexW1964177100MaRDI QIDQ1861956

De-Hao Yu, Qikui Du

Publication date: 10 March 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(02)00188-5

zbMATH Keywords

wave equationfinite element methodnumerical examplesdomain decompositionpreconditioningunbounded domainsemidiscretizationinitial boundary value problemartificial boundaryDirichlet-Neumann alternating algorithmtime-dependent problemRichardson iteration methodnatural boundary reduction (NBR)

Mathematics Subject Classification ID

Wave equation (35L05) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (7)

The superconvergence of composite Newton-Cotes rules for Hadamard finite-part integral on a circle ⋮ Fast artificial boundary method for the heat equation on unbounded domains with strip tails ⋮ Numerical solution of a certain hypersingular integral equation of the first kind ⋮ Analysis of piezoelectric plates with a hole using nature boundary integral equation and domain decomposition ⋮ Dirichlet-Neumann alternating algorithm for an exterior anisotropic quasilinear elliptic problem. ⋮ The superconvergence of composite trapezoidal rule for Hadamard finite-part integral on a circle and its application ⋮ Natural boundary integral method and related numerical methods

Cites Work

• Time-dependent boundary conditions for hyperbolic systems. II
• Nonreflecting boundary conditions for time-dependent scattering
• Accurate radiation boundary conditions for the time-dependent wave equation on unbounded domains
• Exact Nonreflecting Boundary Conditions for the Time Dependent Wave Equation
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