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A block preconditioned conjugate gradient method for solving high-order finite element matrix equations

✍ Scribed by Dage Sundholm

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
439 KB
Volume
49
Category
Article
ISSN
0010-4655

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✦ Synopsis

The Preconditioned Conjugate Gradient algorithms (PCG) are used for solving the matrix equations arising from the Finite Element Method (FEM) with high-order element functions. A vectorizable and a non-vectorizable block preconditioner for use with the conjugate gradient method is presented. The algorithms are tested on the Poisson equation in prolate spheriodal coordinates using the FEM with rectangular elements, and with element functions up to sixth order Lagrange interpolation polynomials.

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