A relaxation procedure for domain decomposition methods using finite elements |
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Authors: | L. D. Marini A. Quarteroni |
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Affiliation: | (1) Present address: Istituto di Analisi Numerica del C.N.R., C. so Carlo Alberto, 5, I-27100 Pavia, Italy;(2) Dipartimento di Matematica, Università Cattolica, Via Trieste, 17, I-25121 Brescia, Italy |
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Abstract: | Summary We present the convergence analysis of a new domain decomposition technique for finite element approximations. This technique was introduced in [11] and is based on an iterative procedure among subdomains in which transmission conditions at interfaces are taken into account partly in one subdomain and partly in its adjacent. No global preconditioner is needed in the practice, but simply single-domain finite element solvers are required. An optimal strategy for an automatic selection of a relaxation parameter to be used at interface subdomains is indicated. Applications are given to both elliptic equations and incompressible Stokes equations. |
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Keywords: | AMS(MOS): 65N30 CR: G1.8 |
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