Abstract
The solution of an elliptic partial differential equation in a polygon is generally not regular. But it can be written as a sum of a regular part and a linear combination of singular functions. The purpose of our work is the numerical analysis and the implementation of the Strang and Fix algorithm, with the mortar spectral element method. We also compute with a high accuracy the coefficient of the leading singularity.
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Chorfi, N. Handling Geometric Singularities by the Mortar Spectral Element Method I. Case of the Laplace Equation. Journal of Scientific Computing 18, 25–48 (2003). https://doi.org/10.1023/A:1020382010989
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DOI: https://doi.org/10.1023/A:1020382010989