Approximation of the leading singular coefficient of an elliptic fourth-order equation
The solution of the biharmonic equation with an homogeneous boundary conditions is decomposed into a regular part and a singular one. The later is written as a coefficient multiplied by the first singular function associated to the bilaplacian operator. In this paper, we consider the dual singul...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/305/abstr.html |
| Summary: | The solution of the biharmonic equation with an homogeneous boundary
conditions is decomposed into a regular part and a singular one.
The later is written as a coefficient multiplied by the first singular
function associated to the bilaplacian operator. In this paper,
we consider the dual singular method for finding the value of the
leading singular coefficient, and we use the mortar domain decomposition
technique with the spectral discretization for its approximation.
The numerical analysis leads to optimal error estimates. We present some
numerical results which are in perfect coherence with the analysis
developed in this paper. |
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| ISSN: | 1072-6691 |