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- W1998935636 abstract "We consider the Poisson problem on a segment of the unit disc and on triangles. On the segment we transform the Poisson problem by means of polar coordinates. In these new coordinates we have a problem in a rectangle which can easily be mapped onto the square. Here standard Chebyshev collocation techniques can be applied. Then the segment is mapped onto a triangle where the same spectral scheme may be used. By numerical tests we observed the expected high spectral accuracy. Due to the corner singularity a singular behaviour of the solution can be expected. Here we improved the accuracy by auxiliary mapping techniques. Further, it is shown that finite difference preconditioning can be successfully applied in order to construct an efficient iterative solver. Finally, a domain decomposition technique is applied to the patching of a rectangular and a triangular element." @default.
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- W1998935636 date "1998-09-01" @default.
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- W1998935636 title "Spectral Collocation on Triangular Elements" @default.
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- W1998935636 doi "https://doi.org/10.1006/jcph.1998.6052" @default.
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