65274 20190709135555.0 doi 10.1515/cmam-2016-0046 sideral 104080 ART-2017-104080 eng Matus, Piotr Monotone difference schemes for weakly coupled elliptic and parabolic systems 2017 Access copy available to the general public Unrestricted The present paper is devoted to the development of the theory of monotone difference schemes, approximating the so-called weakly coupled system of linear elliptic and quasilinear parabolic equations. Similarly to the scalar case, the canonical form of the vector-difference schemes is introduced and the definition of its monotonicity is given. This definition is closely associated with the property of non-negativity of the solution. Under the fulfillment of the positivity condition of the coefficients, two-side estimates of the approximate solution of these vector-difference equations are established and the important a priori estimate in the uniform norm C is given. This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 705402-poro sos info:eu-repo/grantAgreement/EC/H2020/705402/EU/Efficient numerical methods for deformable porous media. Application to carbon dioxide storage./poro sos info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.658 2017 MATHEMATICS, APPLIED 192 / 252 = 0.762 2017 Q4 T3 1.291 2017 Applied Mathematics 2017 Q1 Numerical Analysis 2017 Q1 Computational Mathematics 2017 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion (orcid)0000-0002-9777-5245 Gaspar Lorenz, Francisco José Universidad de Zaragoza Hieu, Le Minh Tuyen, Vo Thi Kim 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 17, 2 (2017), 287-298 Comput. methods appl. math. Computational Methods in Applied Mathematics 1609-4840 310190 http://zaguan.unizar.es/record/65274/files/texto_completo.pdf Versión publicada 85684 http://zaguan.unizar.es/record/65274/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:65274 articulos driver 2019-07-09-12:14:39 ARTICLE