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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

Πλήρης Εγγραφή

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Περίληψη

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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