
doi: 10.1007/bf02142810
An efficient direct method for the solution of multidomain spectral collocation schemes is presented. It is applied to second- and fourth-order problems. In particular, the block structure of the global matrix is exploited. The performance of the method for two- and three-dimensional problems on an RS6000 workstation and a Cray J-916 supercomputer is examined.
spectral collocation, Boundary value problems for second-order elliptic equations, Boundary value problems for higher-order elliptic equations, fourth-order problems, direct method, Spectral, collocation and related methods for boundary value problems involving PDEs, Numerical solution of discretized equations for boundary value problems involving PDEs, Direct numerical methods for linear systems and matrix inversion, performance
spectral collocation, Boundary value problems for second-order elliptic equations, Boundary value problems for higher-order elliptic equations, fourth-order problems, direct method, Spectral, collocation and related methods for boundary value problems involving PDEs, Numerical solution of discretized equations for boundary value problems involving PDEs, Direct numerical methods for linear systems and matrix inversion, performance
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