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Journals and Conferences
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 H 1-norm and L 2-norm.
We study some numerical methods for solving a second order elliptic problem with interface. We introduce an immersed finite element method based on the “broken” P1-nonconforming piecewise linear polynomials on interface triangular elements having edge averages as degrees of freedom. These linear polynomials are broken to match the homogeneous jump condition… (More)