We characterize the capacitance matrix associated with domain decompositions by spectral collocation methods for the solution of elliptic problems. Richardson and conjugate gradient iterations with preconditioners wel suited for computation in a parallel environment are discussed. The spectral properties of the preconditioned capacitance matrix are analyzed, also for the case of substructures with internal vertices. © 1988 Instituto di Elaborazione della Informazione del CNR.
Parallel algorithms for the capacitance matrix method in domain decompositions
QUARTERONI, ALFIO MARIA;
1988-01-01
Abstract
We characterize the capacitance matrix associated with domain decompositions by spectral collocation methods for the solution of elliptic problems. Richardson and conjugate gradient iterations with preconditioners wel suited for computation in a parallel environment are discussed. The spectral properties of the preconditioned capacitance matrix are analyzed, also for the case of substructures with internal vertices. © 1988 Instituto di Elaborazione della Informazione del CNR.File in questo prodotto:
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