Stability and convergence of mixed discontinuous finite element methods for second-order differential problems
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| 024 | 7 | 0 | |a 10.1515/156939503322663449 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/156939503322663449 | ||
| 245 | 0 | 0 | |a Stability and convergence of mixed discontinuous finite element methods for second-order differential problems |h [Elektronische Daten] |c [H. Chen, Z. Chen] |
| 520 | 3 | |a 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. | |
| 540 | |a Copyright 2003, Walter de Gruyter | ||
| 690 | 7 | |a mixed discontinuous finite element methods |2 nationallicence | |
| 690 | 7 | |a second-order problems |2 nationallicence | |
| 690 | 7 | |a stability |2 nationallicence | |
| 690 | 7 | |a convergence |2 nationallicence | |
| 690 | 7 | |a error estimates |2 nationallicence | |
| 690 | 7 | |a characteristics |2 nationallicence | |
| 700 | 1 | |a Chen |D H. |u Department of Mathematics, University of Wyoming, Laramie,WY 82071, U.S.A. |4 aut | |
| 700 | 1 | |a Chen |D Z. |u Department of Mathematics, Box 76.156, Southern Methodist University, Dallas, TX 75275-0156, U.S.A. |4 aut | |
| 773 | 0 | |t Journal of Numerical Mathematics |d Walter de Gruyter |g 11/4(2003-12-01), 253-287 |x 1570-2820 |q 11:4<253 |1 2003 |2 11 |o jnma | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/156939503322663449 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/156939503322663449 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Chen |D H. |u Department of Mathematics, University of Wyoming, Laramie,WY 82071, U.S.A |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Chen |D Z. |u Department of Mathematics, Box 76.156, Southern Methodist University, Dallas, TX 75275-0156, U.S.A |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Numerical Mathematics |d Walter de Gruyter |g 11/4(2003-12-01), 253-287 |x 1570-2820 |q 11:4<253 |1 2003 |2 11 |o jnma | ||
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||