An accurate finite element method for elliptic interface problems

2007/07/11 by G. Peichl, Peichl, Gunther H., Rachid Touzani +1
Engineering · #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.0707.1559

openalex publication_date 2007/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A finite element method for elliptic problems with discontinuous coefficients is presented. The discontinuity is assumed to take place along a closed smooth curve. The proposed method allows to deal with meshes that are not adapted to the discontinuity line. The (nonconforming) finite element space is enriched with local basis functions. We prove an optimal convergence rate in the H¹--norm. Numerical tests confirm the theoretical results.

Citations

• An Interior Penalty Finite Element Method with Discontinuous Elements

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