A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems
DSpace at IIT Bombay
View Archive InfoField | Value | |
Title |
A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems
|
|
Creator |
PRADHAN, D
SHALINI, B NATARAJ, N PANI, AK |
|
Subject |
OPTIMIZED SCHWARZ METHODS
FINITE-ELEMENT METHODS DISCONTINUOUS COEFFICIENTS ITERATIVE PROCEDURE EQUATIONS Domain decomposition Non-overlapping Robin-type boundary condition Iterative procedure Non-conforming Galerkin method Crouzeix-Raviart elements Spectral radius Rate of convergence Parallel computation |
|
Description |
This article deals with the analysis of an iterative non-overlapping domain decomposition (DD) method for elliptic problems, using Robin-type boundary condition on the inter-subdomain boundaries, which can be solved in parallel with local communications. The proposed iterative method allows us to relax the continuity condition for Lagrange multipliers on the inter-subdomain boundaries. In order to derive the corresponding discrete problem, we apply a non-conforming Galerkin method using lowest order Crouzeix-Raviart elements. The convergence of the iterative scheme is obtained by proving that the spectral radius of the matrix associated with the fixed point iterations is less than 1. Parallel computations have been carried out and the numerical experiments confirm the theoretical results established in this paper.
|
|
Publisher |
SPRINGER
|
|
Date |
2012-06-26T05:21:53Z
2012-06-26T05:21:53Z 2011 |
|
Type |
Article
|
|
Identifier |
ADVANCES IN COMPUTATIONAL MATHEMATICS,34(4)339-368
1019-7168 http://dx.doi.org/10.1007/s10444-010-9157-0 http://dspace.library.iitb.ac.in/jspui/handle/100/13956 |
|
Language |
English
|
|