Finite element approximation of multi-scale elliptic problems using patches of elements

In this paper we present a method for the numerical solution of elliptic problems with multi-scale data using multiple levels of not necessarily nested grids. The method consists in calculating successive corrections to the solution in patches whose discretizations are not necessarily conforming. This paper provides proofs of the results published earlier (see C. R. Acad. Sci. Paris, Ser. I 337 (2003) 679-684), gives a generalization of the latter to more than two domains and contains extensive numerical illustrations. New results including the spectral analysis of the iteration operator and a numerical method to evaluate the constant of the strengthened Cauchy-Buniakowski-Schwarz inequality are presented.In this paper we present a method for the numerical solution of elliptic problems with multi-scale data using multiple levels of not necessarily nested grids. The method consists in calculating successive corrections to the solution in patches whose discretizations are not necessarily conforming. This paper provides proofs of the results published earlier (see C. R. Acad. Sci. Paris, Ser. I 337 (2003) 679-684), gives a generalization of the latter to more than two domains and contains extensive numerical illustrations. New results including the spectral analysis of the iteration operator and a numerical method to evaluate the constant of the strengthened Cauchy-Buniakowski-Schwarz inequality are presented.


Published in:
Numerische Mathematik, 101, 4, 663-687
Year:
2005
ISSN:
0029-599X
Keywords:
Note:
Swiss Fed Inst Technol, Sect Math, CH-1015 Lausanne, Switzerland. Univ Houston, Dept Math, Houston, TX 77204 USA. Wagner, J, Swiss Fed Inst Technol, Sect Math, CH-1015 Lausanne, Switzerland. alexei.lozinski@epfl.ch jacques.rappaz@epfl.ch joel.wagner@epfl.ch
ISI Document Delivery No.: 973NY
Times Cited: 0
Cited Reference Count: 46
Other identifiers:
Laboratories:




 Record created 2006-08-24, last modified 2018-03-17


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