Approximation of the singularity coefficients of an elliptic equation by mortar spectral element method
In a polygonal domain, the solution of a linear elliptic problem is written as a sum of a regular part and a linear combination of singular functions multiplied by appropriate coefficients. For computing the leading singularity coefficient we use the dual method which based on the first singular...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/157/abstr.html |
| Summary: | In a polygonal domain, the solution of a linear elliptic problem is written
as a sum of a regular part and a linear combination of singular functions
multiplied by appropriate coefficients. For computing the leading singularity
coefficient we use the dual method which based on the first singular dual
function. Our aim in this paper is the approximation of this leading
singularity coefficient by spectral element method which relies on the
mortar decomposition domain technics. We prove an optimal error estimate
between the continuous and the discrete singularity coefficient.
We present numerical experiments which are in perfect coherence with the analysis. |
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| ISSN: | 1072-6691 |