Mixed Finite Element Methods for Diffusion Equations on Nonmatching Grids

Kuznetsov, Yuri

doi:10.1007/3-540-26825-1_30

Yuri Kuznetsov¹²

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 40))

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Summary

The hybridization technique is applied to replace the macro-hybrid mixed finite element problem for the diffusion equation by the equivalent cell-based formulation. The underlying algebraic system is condensed by eliminating the degrees of freedom which represent the interface flux and cell pressure variables to the system containing the Lagrange multipliers variables. An approach to the numerical solution of the condensed system is briefly discussed.

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References

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Authors and Affiliations

Department of Mathematics, University of Houston, Houston
Yuri Kuznetsov

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Yuri Kuznetsov
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Editors and Affiliations

Moffett Field, CA
Timothy J. Barth
Bonn
Michael Griebel
New York
David E. Keyes & Tamar Schlick &
Espoo
Risto M. Nieminen
Leuven
Dirk Roose
Fachbereich Mathematik und Informatik, Freie Universität Berlin, Arnimallee 2-6, 14195, Berlin, Germany
Ralf Kornhuber
Department of Mathematics, University of Houston, Philip G. Hoffman Hall 651, 77204-3008, Houston, TX, USA
Ronald Hoppe
Dassault Aviation, 78 Quai Marcel Dassault Cedex 300, 92552, St. Cloud, France
Jacques Périaux
Laboratoire Jacques-Louis Lions, Université Paris VI, 175 Rue de Chevaleret, 75013, Paris, France
Olivier Pironneau
Courant Institute of Mathematical Science, New York University, Mercer Street 251, 10012, New York, USA
Olof Widlund
Department of Mathematics Eberly College of Science, Pennsylvania Sate University, McAllister Building 218, 16802, University Park, PA, USA
Jinchao Xu

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Kuznetsov, Y. (2005). Mixed Finite Element Methods for Diffusion Equations on Nonmatching Grids. In: Barth, T.J., et al. Domain Decomposition Methods in Science and Engineering. Lecture Notes in Computational Science and Engineering, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26825-1_30

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DOI: https://doi.org/10.1007/3-540-26825-1_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22523-2
Online ISBN: 978-3-540-26825-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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