An immersed finite element method and its convergence for elliptic interface problems with discontinuous coefficients and singular sources
2007 (English)Report (Other academic)
This paper is concerned with the analysis of an immersed ginite element method for two dimensional elliptic interface problems. The main idea of the method is to use specifically designed macro elements in the vicinity of the interface, such that the jump conditions are well approximated. In general, the resulting immersed finite element space is non-conforming. It is shown that the presented method is second order accurate in L² norm. The provided numerical results agree with the theoretical estimates.
Place, publisher, year, edition, pages
Stockholm: KTH , 2007. , 23 p.
, TRITA-CSC, ISSN 0348-2952 ; 2007:03
IdentifiersURN: urn:nbn:se:kth:diva-7563ISRN: KTH/NA-07/03-SEOAI: oai:DiVA.org:kth-7563DiVA: diva2:12628
QC 201008062007-10-232007-10-232010-08-06Bibliographically approved