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A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems

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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