On the iterative analysis of the dirichlet-neumann map for linear elliptic PDEs
(EN)
Σηφαλακης Αναστασιος
(EL)
Σαριδακης Ιωαννης
(EL)
Παπαδοπουλου Ελενη
(EL)
Saridakis Ioannis
(EN)
Sifalakis Anastasios
(EN)
Papadopoulou Eleni
(EN)
S. R. Fulton
(EN)
Πολυτεχνείο Κρήτης
(EL)
Technical University of Crete
(EN)
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.
(EN)
