Layer-adapted meshes for one-dimensional reaction-convection-diffusion problems
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| 024 | 7 | 0 | |a 10.1515/1569395041931482 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/1569395041931482 | ||
| 100 | 1 | |a Linß |D T. |u Institut für Numerische Mathematik, Technische Universität Dresden, D-01062 Dresden, Germany | |
| 245 | 1 | 0 | |a Layer-adapted meshes for one-dimensional reaction-convection-diffusion problems |h [Elektronische Daten] |c [T. Linß] |
| 520 | 3 | |a We study convergence properties of an upwinded finite element method for the solution of linear one-dimensional reaction-convection-diffusion problems on arbitrary meshes. We derive conditions that are sufficient for (almost) first-order convergence in the L ∞ norm, uniformly in the diffusion parameter, of the method. These conditions are easy to check and enable one to immediately deduce the rate of convergence. The key ingredients of our analysis are sharp bounds on the W 1,1 norm of the discrete Green's function associated with the discretization. | |
| 540 | |a Copyright 2004, Walter de Gruyter | ||
| 690 | 7 | |a Reaction-convection-diffusion |2 nationallicence | |
| 690 | 7 | |a finite elements |2 nationallicence | |
| 690 | 7 | |a singular perturbation |2 nationallicence | |
| 690 | 7 | |a layer-adapted meshes |2 nationallicence | |
| 773 | 0 | |t Journal of Numerical Mathematics |d Walter de Gruyter |g 12/3(2004-09-01), 193-205 |x 1570-2820 |q 12:3<193 |1 2004 |2 12 |o jnma | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/1569395041931482 |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/10.1515/1569395041931482 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Linß |D T. |u Institut für Numerische Mathematik, Technische Universität Dresden, D-01062 Dresden, Germany | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Numerical Mathematics |d Walter de Gruyter |g 12/3(2004-09-01), 193-205 |x 1570-2820 |q 12:3<193 |1 2004 |2 12 |o jnma | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||