Convergence estimates for an higher order optimized Schwarz method for domains with an arbitrary interface

DOI10.1016/j.cam.2010.06.007zbMath1205.65300OpenAlexW2070811878MaRDI QIDQ711254

Shiu Hong Lui

Publication date: 25 October 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.06.007

zbMATH Keywords

convergence accelerationdomain decompositionoptimized Schwarz methodsPoincaré-Steklov operatorLions nonoverlapping method

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)

Related Items (3)

Optimized Schwarz methods with nonoverlapping circular domain decomposition ⋮ Convergence analysis for a second order Schwarz method for nonoverlapping subdomains ⋮ Optimized Schwarz Methods for Model Problems with Continuously Variable Coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimized interface conditions in domain decomposition methods for problems with extreme contrasts in the coefficients
• Convergence estimates for an optimized Schwarz method for PDEs with discontinuous coefficients
• Absorbing boundary conditions for domain decomposition
• Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains
• The condition number of the Schur complement in domain decomposition
• A Lions non-overlapping domain decomposition method for domains with an arbitrary interface
• An Iterative Method for Elliptic Problems on Regions Partitioned into Substructures
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Some Nonoverlapping Domain Decomposition Methods
• Timely Communicaton: An Analysis for a Nonoverlapping Domain Decomposition Iterative Procedure
• Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
• Optimized Schwarz Methods without Overlap for the Helmholtz Equation
• On a Parallel Robin‐Type Nonoverlapping Domain Decomposition Method
• Optimized Schwarz Methods

This page was built for publication: Convergence estimates for an higher order optimized Schwarz method for domains with an arbitrary interface