Enhanced Velocity Mixed Finite Element Methods for Flow in Multiblock Domains

The paper presents a new approach to discretizing flow in porous media via mixed finite element methods on non-matching multiblock grids. The velocity space along the interfaces is enhanced to give flux-continuous approximation. No additional matching conditions need to be imposed. The computational...

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Bibliographic Details
Published in:Computational geosciences 2002-01, Vol.6 (3-4), p.315
Main Authors: Wheeler, John A, Wheeler, Mary F, Yotov, Ivan
Format: Article
Language:English
Subjects:
Finite element analysis
Porous media
Studies
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Summary:The paper presents a new approach to discretizing flow in porous media via mixed finite element methods on non-matching multiblock grids. The velocity space along the interfaces is enhanced to give flux-continuous approximation. No additional matching conditions need to be imposed. The computational complexity of the resulting algebraic problem is comparable to the one for the single-block case. A priori error estimates for the pressure and the velocity and numerical experiments confirming the theory are presented.[PUBLICATION ABSTRACT]
ISSN:1420-0597
1573-1499
DOI:10.1023/A:1021270509932