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• W3035982911 abstract "This article presents an error analysis of the symmetric linear/bilinear partially penalized immersed finite element (PPIFE) methods for interface problems of Helmholtz equations. Under the assumption that the exact solution possesses a usual piecewise $H^2$ regularity, the optimal error bounds for the PPIFE solutions are derived in an energy norm and the usual $L^2$ norm provided that the mesh size is sufficiently small. A numerical example is conducted to validate the theoretical conclusions." @default.
• W3035982911 created "2020-06-25" @default.
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• W3035982911 date "2020-06-18" @default.
• W3035982911 modified "2023-09-28" @default.
• W3035982911 title "Error Analysis of Symmetric Linear/Bilinear Partially Penalized Immersed Finite Element Methods for Helmholtz Interface Problems" @default.
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• W3035982911 doi "https://doi.org/10.48550/arxiv.2006.10942" @default.
• W3035982911 hasPublicationYear "2020" @default.
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