Error Analysis of Symmetric Linear/Bilinear Partially Penalized Immersed Finite Element Methods for Helmholtz Interface Problems
Numerical Analysis
2020-06-22 v1 Numerical Analysis
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 regularity, the optimal error bounds for the PPIFE solutions are derived in an energy norm and the usual norm provided that the mesh size is sufficiently small. A numerical example is conducted to validate the theoretical conclusions.
Cite
@article{arxiv.2006.10942,
title = {Error Analysis of Symmetric Linear/Bilinear Partially Penalized Immersed Finite Element Methods for Helmholtz Interface Problems},
author = {Ruchi Guo and Tao Lin and Yanping Lin and Qiao Zhuang},
journal= {arXiv preprint arXiv:2006.10942},
year = {2020}
}
Comments
14 pages, 1 figure