Optimal convergence analysis of an immersed interface finite element method

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We analyze an immersed interface finite element method based on linear polynomials on noninterface triangular elements and piecewise linear polynomials on interface triangular elements. The flux jump condition is weakly enforced on the smooth interface. Optimal error estimates are derived in the broken H(1)-norm and L(2)-norm.
Publisher
SPRINGER
Issue Date
2010-08
Language
English
Article Type
Article
Keywords

DISCONTINUOUS COEFFICIENTS; ELLIPTIC-EQUATIONS; BOUNDARIES; SPACE; FLOW

Citation

ADVANCES IN COMPUTATIONAL MATHEMATICS, v.33, no.2, pp.149 - 168

ISSN
1019-7168
DOI
10.1007/s10444-009-9122-y
URI
http://hdl.handle.net/10203/21725
Appears in Collection
MA-Journal Papers(저널논문)
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