Optimal Discrete Transmission Conditions for a Nonoverlapping Domain Decomposition Method for the Helmholtz Equation

DOI10.1137/S1064827502415351zbMath1086.65118MaRDI QIDQ4652278

Stéphanie Salmon, Frédéric Magoulès, Francois-Xavier Roux

Publication date: 25 February 2005

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

zbMATH Keywords

convergencenumerical examplesSchur complementHelmholtz equationalgebraic approximationtransmission conditionsSteklov-Poincaré operatordomain decompositionstransparent operator

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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