caa a22 4500 378884166 CHVBK 20180305123439.0 cr unu---uuuuu 161128s2004 xx s 000 0 eng 10.2478/cmam-2004-0003 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2004-0003 A Numerical Model for the Radial Flow Through Porous and Deformable Shells [Elektronische Daten] Energy estimates and convergence analysis of finite difference methods for Biot's consolidation model are presented for several types of radial ow. The model is written by a system of partial differential equations which depend on an integer parameter (n = 0; 1; 2) corresponding to the one-dimensional ow through a deformable slab and the radial ow through an elastic cylindrical or spherical shell respectively. The finite difference discretization is performed on staggered grids using separated points for the approximation of pressure and displacements. Numerical results are given to illustrate the obtained theoretical results. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. Biot's model nationallicence finite difference method nationallicence staggered grids nationallicence Gaspar Francisco J. Departamento de Mathemática Aplicada, Universidad de Zaragoza, 50009 Zaragoza, Spain Lisbona Francisco J. Departamento de Mathemática Aplicada, Universidad de Zaragoza, 50009 Zaragoza, Spain Vabishchevich Petr N. Institute for Mathematical Modelling RAS. Computational Methods in Applied Mathematics De Gruyter 4/1(2004), 34-47 1609-4840 4:1<34 2004 4 cmam https://doi.org/10.2478/cmam-2004-0003 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2004-0003 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gaspar Francisco J. Departamento de Mathemática Aplicada, Universidad de Zaragoza, 50009 Zaragoza, Spain NATIONALLICENCE 700 1- Lisbona Francisco J. Departamento de Mathemática Aplicada, Universidad de Zaragoza, 50009 Zaragoza, Spain NATIONALLICENCE 700 1- Vabishchevich Petr N. Institute for Mathematical Modelling RAS NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 4/1(2004), 34-47 1609-4840 4:1<34 2004 4 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter