Error analysis of primal discontinuous Galerkin methods for a mixed formulation of the Biot equations-Reference-Cited by-同舟云学术

Error analysis of primal discontinuous Galerkin methods for a mixed formulation of the Biot equations

Published:2017-02 Issue:4 Volume:73 Page:666-683
ISSN:0898-1221
Container-title:Computers & Mathematics with Applications
language:en
Short-container-title:Computers & Mathematics with Applications

Author:

Rivière Béatrice,Tan Jun,Thompson Travis^ORCID

Funder

National Science Foundation

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference26 articles.

1. A hydro-elastic model of hydrocephalus. Technical Report;Smillie,2004

2. J. Young, B. Rivière, The development of a computational, poroelastic model of intestinal Edema, in: VUB, Brussels, Belgium, Sept, 21–23 2011. Proceedings of the ECCOMAS Thematic International Conference on Simulation and Modeling of Biological Flows, SIMBIO, 2011.

3. A mathematical model of intestinal edema formation;Young;Math. Med. Biol.,2012

4. Theoretical Soil Mechanics;Terzaghi,1943

5. General theory of three-dimensional consolidation;Biot;J. Appl. Phys.,1941

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