Algebraic approach to absorbing boundary conditions for the Helmholtz equation
DOI10.1080/00207160601168605zbMath1116.65123OpenAlexW1971141563MaRDI QIDQ3445871
Laurent Séries, Frédéric Magoulès, Francois-Xavier Roux
Publication date: 7 June 2007
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160601168605
finite elementsabsorbing boundary conditiondomain decompositionnumerical experimentsHelmholtz equationcoarse gridacousticsalgebraic patch substructuring
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) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- 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
- NURBS approximation of surface / surface intersection curves
- Non-overlapping Schwarz methods with optimized transmission conditions for the Helmholtz equation
- ALGEBRAIC WAY TO DERIVE ABSORBING BOUNDARY CONDITIONS FOR THE HELMHOLTZ EQUATION
- AN INCOMPLETE LU PRECONDITIONER FOR PROBLEMS IN ACOUSTICS
- ANALYTIC PRECONDITIONERS FOR THE BOUNDARY INTEGRAL SOLUTION OF THE SCATTERING OF ACOUSTIC WAVES BY OPEN SURFACES
- FETI-DPH: A DUAL-PRIMAL DOMAIN DECOMPOSITION METHOD FOR ACOUSTIC SCATTERING
- First-Order System Least-Squares for the Helmholtz Equation
- Optimal Discrete Transmission Conditions for a Nonoverlapping Domain Decomposition Method for the Helmholtz Equation
- Optimized Schwarz Methods without Overlap for the Helmholtz Equation