On Convergence of the Exponentially Fitted Finite Volume Method With an Anisotropic Mesh Refinement for a Singularly Perturbed Convection-diffusion Equation
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| 024 | 7 | 0 | |a 10.2478/cmam-2003-0032 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0032 | ||
| 245 | 0 | 0 | |a On Convergence of the Exponentially Fitted Finite Volume Method With an Anisotropic Mesh Refinement for a Singularly Perturbed Convection-diffusion Equation |h [Elektronische Daten] |
| 520 | 3 | |a This paper presents a convergence analysis for the exponentially fitted finite volume method in two dimensions applied to a linear singularly perturbed convection-diffusion equation with exponential boundary layers. The method is formulated as a nonconforming Petrov-Galerkin finite element method with an exponentially fitted trial space and a piecewise constant test space. The corresponding bilinear form is proved to be coercive with respect to a discrete energy norm. Numerical results are presented to verify the theoretical rates of convergence. | |
| 540 | |a 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. | ||
| 690 | 7 | |a finite volume method |2 nationallicence | |
| 690 | 7 | |a convection-diffusion equation |2 nationallicence | |
| 690 | 7 | |a uniform convergence |2 nationallicence | |
| 690 | 7 | |a anisotropic mesh |2 nationallicence | |
| 690 | 7 | |a singular perturbation |2 nationallicence | |
| 700 | 1 | |a Wang |D Song |u School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia. | |
| 700 | 1 | |a Angermann |D Lutz |u Institut f¨ur Mathematik, Technische Universit¨at Clausthal, Erzstraße 1, D-38678 Clausthal-Zellerfeld, Germany. | |
| 773 | 0 | |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/3(2003), 493-512 |x 1609-4840 |q 3:3<493 |1 2003 |2 3 |o cmam | |
| 856 | 4 | 0 | |u https://doi.org/10.2478/cmam-2003-0032 |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/10.2478/cmam-2003-0032 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Wang |D Song |u School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Angermann |D Lutz |u Institut f¨ur Mathematik, Technische Universit¨at Clausthal, Erzstraße 1, D-38678 Clausthal-Zellerfeld, Germany | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/3(2003), 493-512 |x 1609-4840 |q 3:3<493 |1 2003 |2 3 |o cmam | ||
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