Domain decomposition preconditioners for the spectral collocation method
Copyright policy )Domain decomposition preconditioners for the spectral collocation method
This paper proposes and analyzes several block iteration preconditioners for the solutions of elliptic problems by spectral collocation methods in a region partitioned into several rectangles. One considers a spectral collocation approximation which consists of collocating differential equations at Gaussian collocation points; and then a variational formulation of the collocation multidomain problems is given. The convergence is analyzed, and it is shown how the iteration-by-subdomain method can be interpreted in terms of matrices.
Iterative numerical methods for linear systems, domain decomposition, Gaussian collocation points, convergence, Boundary value problems for second-order elliptic equations, block iteration preconditioners, approximation of elliptic equations, Domain decomposition, spectral collocation methods, spectral collocation methods, Spectral, collocation and related methods for boundary value problems involving PDEs, iteration- by-subdomain method
Iterative numerical methods for linear systems, domain decomposition, Gaussian collocation points, convergence, Boundary value problems for second-order elliptic equations, block iteration preconditioners, approximation of elliptic equations, Domain decomposition, spectral collocation methods, spectral collocation methods, Spectral, collocation and related methods for boundary value problems involving PDEs, iteration- by-subdomain method
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