Error Analysis of Symmetric Linear/Bilinear Partially Penalized Immersed Finite Element Methods for Helmholtz Interface Problems

Autor:	Guo, Ruchi, Lin, Tao, Lin, Yanping, Zhuang, Qiao
Rok vydání:	2020
Předmět:	Mathematics - Numerical Analysis 65N15 65N30 35R35
Druh dokumentu:	Working Paper
Popis:	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. Comment: 14 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2006.10942 Zobrazit plný text záznamu View this record from Arxiv