Analysis of Patch Substructuring Methods

DOI10.2478/v10006-007-0032-1zbMath1147.65327OpenAlexW2130618992MaRDI QIDQ3517407

Laurence Halpern, Frédéric Magoulès, Francois-Xavier Roux, Martin J. Gander

Publication date: 12 August 2008

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/207845

zbMATH Keywords

convergencefinite element methodfinite difference methodnumerical experimentsoptimized Schwarz methodsSchwarz domain decomposition methodsSchur complement methodsNeumann transmission conditionspatch substructuring methods

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (5)

Schwarz methods by domain truncation ⋮ Preconditioners for Schwarz relaxation methods applied to differential algebraic equations ⋮ Domain truncation, absorbing boundary conditions, Schur complements, and Padé approximation ⋮ Optimized Schwarz method without overlap for the gravitational potential equation on cluster of graphics processing unit ⋮ Aitken's acceleration of the restricted additive Schwarz preconditioning using coarse approximations on the interface

Cites Work

• Non-overlapping Schwarz methods with optimized transmission conditions for the Helmholtz equation
• ALGEBRAIC WAY TO DERIVE ABSORBING BOUNDARY CONDITIONS FOR THE HELMHOLTZ EQUATION
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Optimal Discrete Transmission Conditions for a Nonoverlapping Domain Decomposition Method for the Helmholtz Equation
• Optimized Schwarz Methods
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