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On the iterative analysis of the dirichlet-neumann map for linear elliptic PDEs

Saridakis Ioannis, Sifalakis Anastasios, Papadopoulou Eleni, S. R. Fulton

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URI: http://purl.tuc.gr/dl/dias/830C1A4D-6A59-4D26-8D74-71B1EF41F84E
Year 2007
Type of Item Conference Poster
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Bibliographic Citation A. Sifalakis, S.R. Fulton, E. P. Papadopoulou , Y. G. Saridakis, “On the Iterative analysis of the dirichlet-neumann map for linear elliptic PDEs”, in Conference on numerical analysis , 2007,pp 129- 132.
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Conference Publications in Community School of Production Engineering and Management

Summary

Taking advantage of the structural properties of the Col- location coefficient matrix associated with the Dirichlet-Neumann map for linear elliptic PDEs, we present a complete spectral analysis for the Laplace’s equation on a square domain with the same type of bound- ary conditions on all sides. Through this analysis we are able to recover optimal classical SOR and Krylov iterative methods.

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