Absorbing interface conditions for domain decomposition methods: A general presentation

DOI10.1016/j.cma.2005.01.025zbMath1168.65423OpenAlexW2006459929MaRDI QIDQ2384267

Frédéric Magoulès, Yvon Maday

Publication date: 20 September 2007

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2005.01.025

zbMATH Keywords

domain decompositionnumerical experimentsLaplace equationHelmholtz equationreview paperFETIabsorbing interface conditionsdual Schur mehodFETI-Hprimal Schur mehodSchwarz mehod

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (17)

Alya: computational solid mechanics for supercomputers ⋮ Asynchronous optimized Schwarz methods with and without overlap ⋮ Preconditioners for Schwarz relaxation methods applied to differential algebraic equations ⋮ An adaptive global-local approach for phase-field modeling of anisotropic brittle fracture ⋮ A two‐level domain decomposition method with accurate interface conditions for the Helmholtz problem ⋮ The multiscale Robin coupled method for flows in porous media ⋮ Multilevel global-local techniques for adaptive ductile phase-field fracture ⋮ Asynchronous iterative sub-structuring methods ⋮ Optimized Schwarz method without overlap for the gravitational potential equation on cluster of graphics processing unit ⋮ Algebraic Dirichlet-to-Neumann mapping for linear elasticity problems with extreme contrasts in the coefficients ⋮ Domain decomposition methods for domain composition purpose: chimera, overset, gluing and sliding mesh methods ⋮ A homogenization-based quasi-discrete method for the fracture of heterogeneous materials ⋮ A mortar method based on NURBS for curved interfaces ⋮ Optimized Schwarz methods without overlap for highly heterogeneous media ⋮ A Schur Complement Method for Compressible Two-Phase Flow Models ⋮ Quasi-simultaneous coupling methods for partitioned problems in computational hemodynamics ⋮ A hybrid multigrid method for convection-diffusion problems

Uses Software

• METIS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A domain decomposition method for the Helmholtz equation and related optimal control problems
• Domain decomposition method for harmonic wave propagation: A general presentation
• Two-level domain decomposition methods with Lagrange multipliers for the fast iterative solution of acoustic scattering problems
• Non-overlapping Schwarz methods with optimized transmission conditions for the Helmholtz equation
• Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions
• Absorbing Boundary Conditions for the Discretization Schemes of the One-Dimensional Wave Equation
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Optimal Discrete Transmission Conditions for a Nonoverlapping Domain Decomposition Method for the Helmholtz Equation
• Optimized Schwarz Methods without Overlap for the Helmholtz Equation

This page was built for publication: Absorbing interface conditions for domain decomposition methods: A general presentation