IMA Postdoc Seminar (March 16, 2010)

Speaker: Xie, Hui (Chemical engineering and materials science, UMN)

Title: A finite element method for interface problems with locally modified triangulations.

Abstract: A finite element method for elliptic problems with discontinuities in the coefficients and the flux across an arbitrary interface was proposed. The method is based on a Cartesian mesh with local modifications to the mesh. The total degree of the freedom of the finite element method remains the same as that of the Cartesian mesh. The local modifications lead to a quasi-uniform body-fitted mesh from the original Cartesian mesh. The standard finite element theory and implementation are applicable. Presented numerical examples with jumps in the diffusion coefficient across the interface demonstrated the efficiency of the proposal method.