Rüde U (1998)
Publication Type: Journal article
Publication year: 1998
Book Volume: 19
Pages Range: 1109-1124
Journal Issue: 4
DOI: 10.1137/S1064827595293557
Implicit extrapolation methods for the solution of partial differential equations are based on applying the extrapolation principle indirectly. Multigrid τ-extrapolation is a special case of this idea. In the context of multilevel finite element methods, an algorithm of this type can be used to raise the approximation order, even when the meshes are nonuniform or locally refined. The implicit extrapolation multigrid algorithm converges to the solution of a higher order finite element system. This is obtained without explicitly constructing higher order stiffness matrices but by applying extrapolation in a natural form within the algorithm. The algorithm requires only a small change of a basic low order multigrid method.
APA:
Rüde, U. (1998). Implicit extrapolation methods for variable coefficient problems. SIAM Journal on Scientific Computing, 19(4), 1109-1124. https://doi.org/10.1137/S1064827595293557
MLA:
Rüde, Ulrich. "Implicit extrapolation methods for variable coefficient problems." SIAM Journal on Scientific Computing 19.4 (1998): 1109-1124.
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