ALGEBRAIC WAY TO DERIVE ABSORBING BOUNDARY CONDITIONS FOR THE HELMHOLTZ EQUATION

DOI10.1142/S0218396X05002827zbMath1189.76390MaRDI QIDQ3573681

Frédéric Magoulès, Laurent Séries, Francois-Xavier Roux

Publication date: 1 July 2010

Published in: Journal of Computational Acoustics (Search for Journal in Brave)

zbMATH Keywords

Schur complementdomain decompositionabsorbing boundary conditionsacousticalgebraic methods

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05)

Related Items

Algebraic approach to absorbing boundary conditions for the Helmholtz equation ⋮ Parallel iterative substructuring in structural mechanics ⋮ Preconditioners for Schwarz relaxation methods applied to differential algebraic equations ⋮ Analysis of Patch Substructuring Methods ⋮ Asynchronous iterative sub-structuring methods ⋮ Optimized Schwarz method without overlap for the gravitational potential equation on cluster of graphics processing unit ⋮ Robust FETI-DP methods for heterogeneous three dimensional elasticity problems ⋮ Auto-tuned Krylov methods on cluster of graphics processing unit

Uses Software

• METIS

Cites Work

• A domain decomposition method for the Helmholtz equation and related optimal control problems
• Two-level domain decomposition methods with Lagrange multipliers for the fast iterative solution of acoustic scattering problems
• Optimal Discrete Transmission Conditions for a Nonoverlapping Domain Decomposition Method for the Helmholtz Equation
• The Dual Schur Complement Method with Well-Posed Local Neumann Problems: Regularization with a Perturbed Lagrangian Formulation
• Optimized Schwarz Methods without Overlap for the Helmholtz Equation