Journal
JOURNAL OF SCIENTIFIC COMPUTING
Volume 81, Issue 3, Pages 2051-2079Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10915-019-01071-5
Keywords
Immersed finite element methods; A posteriori error estimation; Interface problems; Residual-based
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Funding
- National Science Foundation [DMS-1720425]
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In this paper we introduce and analyze the residual-based a posteriori error estimation of the partially penalized immersed finite element method for solving elliptic interface problems. The immersed finite element method can be naturally utilized on interface-unfitted meshes. Our a posteriori error estimate is proved to be both reliable and efficient with both reliability and efficiency constants independent of the location of the interface. Numerical results indicate that the error estimation is robust with respect to the coefficient contrast.
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