Incremental unknowns in three-dimensional stationary problem

The main purpose of this work is to set up the explicit matrix framework appropriate to three-dimensional partial differential equations by means of the incremental unknowns method. Multilevel schemes of the incremental unknowns are presented in the three space dimensions, and through numerical expe...

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Bibliographic Details
Published in:Numerical algorithms 2007-10, Vol.46 (2), p.153-171
Main Authors: Song, Lunji, Wu, Yujiang
Format: Article
Language:English
Subjects:
Partial differential equations
Preconditioning
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Summary:The main purpose of this work is to set up the explicit matrix framework appropriate to three-dimensional partial differential equations by means of the incremental unknowns method. Multilevel schemes of the incremental unknowns are presented in the three space dimensions, and through numerical experiments, we confirm that the incremental unknowns method is efficient and the hierarchical preconditioning based on the incremental unknowns can be applied in a more general form.
ISSN:1017-1398
1572-9265
DOI:10.1007/s11075-007-9133-z