caa a22 4500 378860135 CHVBK 20180305123344.0 cr unu---uuuuu 161128s2003 xx s 000 0 eng 10.2478/cmam-2003-0006 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0006 Chen Zhangxin Southern Methodist University, Department of Mathematics, Box 750156, Dallas, TX 75275-0156, USA. Numerical Analysis for Two-phase Flow in Porous Media [Elektronische Daten] [Zhangxin Chen] In this paper we derive error estimates for finite element approximations for partial differential systems which describe two-phase immiscible flows in porous media. These approximations are based on mixed finite element methods for pressure and velocity and characteristic finite element methods for saturation. Both incompressible and compressible flows are considered. Error estimates of optimal order are obtained. 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. two-phase immiscible flows nationallicence porous media nationallicence finite elements nationallicence error estimates nationallicence mixed methods nationallicence characteristic methods nationallicence Computational Methods in Applied Mathematics De Gruyter 3/1(2003), 59-75 1609-4840 3:1<59 2003 3 cmam https://doi.org/10.2478/cmam-2003-0006 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2003-0006 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Chen Zhangxin Southern Methodist University, Department of Mathematics, Box 750156, Dallas, TX 75275-0156, USA NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 3/1(2003), 59-75 1609-4840 3:1<59 2003 3 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter