Volume 8, Issue 1
A Partially Penalised Immersed Finite Element Method for Elliptic Interface Problems with Non-Homogeneous Jump Conditions

Haifeng Ji ,  Qian Zhang ,  Qiuliang Wang and Yifan Xie

10.4208/eajam.160217.070717a

East Asian J. Appl. Math., 8 (2018), pp. 1-23.

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  • Abstract

A partially penalised immersed finite element method for interface problems with discontinuous coefficients and non-homogeneous jump conditions based on unfitted meshes independent of the interface is proposed. The arising systems of linear equations have symmetric positive definite matrices which allows the use of fast solvers and existing codes. Optimal error estimates in an energy norm are derived. Numerical examples demonstrate the efficiency of the method.

  • History

Published online: 2018-02

  • AMS Subject Headings

65N15, 65N30, 35J60

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