Optimal convergence analysis of an immersed interface finite element method

We analyze an immersed interface finite element method based on linear polynomials on noninterface triangular elements and piecewise linear polynomials on interface triangular elements. The flux jump condition is weakly enforced on the smooth interface. Optimal error estimates are derived in the broken H1 -norm and L2 -norm. Keywords Immersed interface

• Type: Journal
• Year: 2010
• Where: ADCM
• Authors: So-Hsiang Chou, Do Y. Kwak, K. T. Wee
• Keywords: ADCM 2007, ADCM 2010, Element Method, Linear Polynomials, Triangular Elements