scientific article; zbMATH DE number 1218974

zbMath0910.65086MaRDI QIDQ4217201

Hafiz M. Atassi, Romeo F. Susan-Resiga, Lois Curfman McInnes, David E. Keyes

Publication date: 25 April 1999

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

finite element methodpreconditioningparallel computationnonreflecting boundary conditionsadditive Schwarz methodsexterior Helmholtz problemiterative parallel domain decomposition algorithmsparallel Krylov-Schwarz algorithms

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05)

Related Items (8)

L-sweeps: a scalable, parallel preconditioner for the high-frequency Helmholtz equation ⋮ Absorbing boundary conditions for the wave equation and parallel computing ⋮ Nested Domain Decomposition with Polarized Traces for the 2D Helmholtz Equation ⋮ A matrix-free parallel solution method for the three-dimensional heterogeneous Helmholtz equation ⋮ A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods ⋮ Lagrangian formulation of domain decomposition methods: a unified theory ⋮ A domain decomposition preconditioning for an inverse volume scattering problem ⋮ An optimized Schwarz method with relaxation for the Helmholtz equation: the negative impact of overlap

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