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Cite Details

Yuri Kuznetsov, Konstantin Lipnikov, Stephen Lyons and Serguei Maliassov, "Mathematics modeling and numerical algorithms for poroelastic problems", Contemporary Mathematics, vol. 329, pp. 191-202, 2003


A new efficient solver with a spectrally equivalent and optimal order of complexity preconditioner is proposed and investigated for a coupled system of differential equations resulting from the implicit time discretization of a poroelastic problem. The diffusion part of the problem is discretized on logically structured tetrahedral grids with a mixed-hybrid finite element method. Results of numerical experiments are presented.

BibTeX Entry

author = {Yuri Kuznetsov and Konstantin Lipnikov and Stephen Lyons and Serguei Maliassov},
title = {Mathematics modeling and numerical algorithms for poroelastic problems},
year = {2003},
journal = {Contemporary Mathematics},
volume = {329},
pages = {191-202}