The Iterative Solver RISOLV with Application to the Exterior Helmholtz Problem

DOI10.1137/08072454XzbMath1209.65041OpenAlexW2031839014MaRDI QIDQ3079345

Hillel Tal-Ezer, Eli Turkel

Publication date: 2 March 2011

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/08072454x

zbMATH Keywords

finite element methodnumerical examplespreconditioningiterative methodsKrylov subspace methodGMRES methodnonsymmetric linear systemsexterior Helmholtz problemRisolv algorithm

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Preconditioners for iterative methods (65F08)

Related Items

Solution of three-dimensional multiple scattering problems by the method of difference potentials ⋮ The method of difference potentials for the Helmholtz equation using compact high order schemes

Uses Software

• MatrixMarket
• BiCGstab