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Matematicheskoe modelirovanie, 1996, Volume 8, Number 9, Pages 53–62
(Mi mm1619)
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Proceedins of the International Conference on the Optimization of the Finite Element Approximations (OFEA-95), St.-Petersburg, 25–29 June 1995
Multigrid algorithms with implicit extrapolation for solving finite element equations
M. Junga, U. Rüdeb a Chemnitz University of Technology
b Technische Universität München, Fakultät für Informatik
Abstract:
We present a multigrid algorithm with an implicit extrapolation step for solving second-order elliptic boundary value problems in two-dimensional domains. The boundary value problem is discretized by using finite elements with piecewise linear functions and non-standard quadrature rules for the computation of the finite element stiffness matrices and the load vectors. The implicit extrapolation leads to an improvement of the accuracy of the finite element solution. We have shown that the iterates of the multigrid algorithm with extrapolation converge to that finite element solution which we would get by a discretization with piecewise quadratic functions. A numerical example illustrates this fact.
Citation:
M. Jung, U. Rüde, “Multigrid algorithms with implicit extrapolation for solving finite element equations”, Matem. Mod., 8:9 (1996), 53–62
Linking options:
https://www.mathnet.ru/eng/mm1619 https://www.mathnet.ru/eng/mm/v8/i9/p53
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Abstract page: | 256 | Full-text PDF : | 114 | First page: | 1 |
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