On the mortar finite element method /
The mortar finite element method is a domain decomposition technique which allows independently meshed subdomains. Meshes on subdomains need not align across subdomain interfaces. The method leads to non-conforming approximations of solutions to second order elliptic boundary value problems of the s...
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| Format: | Thesis Book |
| Language: | English |
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[Place of publication not identified] :
[publisher not identified] ;
1999.
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| Online Access: | http://proxy.library.tamu.edu/login?url=http://proquest.umi.com/pqdweb?did=730316911&sid=1&Fmt=2&clientId=2945&RQT=309&VName=PQD |
| Summary: | The mortar finite element method is a domain decomposition technique which allows independently meshed subdomains. Meshes on subdomains need not align across subdomain interfaces. The method leads to non-conforming approximations of solutions to second order elliptic boundary value problems of the same accuracy as the standard finite element method. It is shown that the stability of the method as well as the error estimates do not deteriorate with increase in number of subdomains. The major component of this dissertation is the design of a multigrid preconditioned for the efficient solution of the linear system arising from the mortar finite element method. One difficulty here lies in the fact that the multilevel mortar spaces are not nested, and natural imbeddings are no longer available for inter-grid transfer operators. An appropriate prolongation operator is designed. Also, the analysis of the smoother is nonstandard, because the mortar basis functions have non-local support. |
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| Item Description: | Vita. "Major Subject: Mathematics". |
| Physical Description: | vii, 107 leaves : illustrations ; 28 cm. Issued also on microfiche from University Microfilm Inc. |
| Bibliography: | Includes bibliographical references (leaves 93-100). |