Residual-Based a Posteriori Error Estimation for Immersed Finite Element Methods
2019 ◽
Vol 81
(3)
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pp. 2051-2079
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Keyword(s):
Abstract 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.
2016 ◽
Vol 59
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pp. 1835-1850
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2001 ◽
Vol 190
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pp. 4691-4712
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2008 ◽
Vol 346
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pp. 687-690
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1981 ◽
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2017 ◽
2012 ◽
Vol 62
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pp. 1701-1717
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2018 ◽
Vol 56
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pp. 3121-3143
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1999 ◽
Vol 79
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pp. 139-142
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2008 ◽
Vol 77
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pp. 1917-1939
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