Timely Communicaton: An Analysis for a Nonoverlapping Domain Decomposition Iterative Procedure

Authors:
Qingping Deng
Affiliations:
-
Venue:
SIAM Journal on Scientific Computing
Year:
1997

Citing 0
Cited 7

Fine tuning interface relaxation methods for elliptic differential equations

Applied Numerical Mathematics
Schwarz waveform relaxation methods for parabolic equations in space-frequency domain

Computers & Mathematics with Applications
Convergence estimates for an higher order optimized Schwarz method for domains with an arbitrary interface

Journal of Computational and Applied Mathematics
Spectral Analysis of Dirichlet-Neumann Operators and Optimized Schwarz Methods with Robin Transmission Conditions

SIAM Journal on Numerical Analysis
A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems

Advances in Computational Mathematics
Analysis and Optimization of Robin-Robin Partitioned Procedures in Fluid-Structure Interaction Problems

SIAM Journal on Numerical Analysis
A Parallel Robin-Robin Domain Decomposition Method for the Stokes-Darcy System

SIAM Journal on Numerical Analysis

Quantified Score

Hi-index	0.01

Visualization

Abstract

An iterative procedure for nonoverlapping domain decomposition methods (DDM) is developed and analyzed, which can be parallelly implemented with local communications. It uses a Robin boundary condition as its transmission condition on the interfaces. The update of Robin data of its transmission condition is a very simple relaxation between the preceding Robin data and function value. It need not find any derivatives at each iterative step. This method can be easily applied to the discretization problems. Moreover, it is shown that it is indeed a variant of the Lions nonoverlapping DDM for the continuous problems. Also, it can be regarded as a generalization of Tang's generalized Schwarz alternating method (GSAM) in the nonoverlapping DDM.