caa a22 4500 37886713X CHVBK 20180305123400.0 cr unu---uuuuu 161128e20031201xx s 000 0 eng 10.1515/156939503322663449 doi (NATIONALLICENCE)gruyter-10.1515/156939503322663449 Stability and convergence of mixed discontinuous finite element methods for second-order differential problems [Elektronische Daten] [H. Chen, Z. Chen] In this paper we develop an abstract theory for stability and convergence of mixed discontinuous finite element methods for second-order partial differential problems. This theory is then applied to various examples, with an emphasis on different combinations of mixed finite element spaces. Elliptic, parabolic, and convection-dominated diffusion problems are considered. The examples include classical mixed finite element methods in the discontinuous setting, local discontinuous Galerkin methods, and their penalized (stablized) versions. For the convection-dominated diffusion problems, a characteristics-based approach is combined with the mixed discontinuous methods. Copyright 2003, Walter de Gruyter mixed discontinuous finite element methods nationallicence second-order problems nationallicence stability nationallicence convergence nationallicence error estimates nationallicence characteristics nationallicence Chen H. Department of Mathematics, University of Wyoming, Laramie,WY 82071, U.S.A. aut Chen Z. Department of Mathematics, Box 76.156, Southern Methodist University, Dallas, TX 75275-0156, U.S.A. aut Journal of Numerical Mathematics Walter de Gruyter 11/4(2003-12-01), 253-287 1570-2820 11:4<253 2003 11 jnma https://doi.org/10.1515/156939503322663449 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/156939503322663449 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chen H. Department of Mathematics, University of Wyoming, Laramie,WY 82071, U.S.A aut NATIONALLICENCE 700 1- Chen Z. Department of Mathematics, Box 76.156, Southern Methodist University, Dallas, TX 75275-0156, U.S.A aut NATIONALLICENCE 773 0- Journal of Numerical Mathematics Walter de Gruyter 11/4(2003-12-01), 253-287 1570-2820 11:4<253 2003 11 jnma CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter