Artículo
de Dios, B.A.; Lombardi, A.; Pietra, P.; Zikatanov, L.; Bank R.; Holst M.; Xu J.; Widlund O. "A Block Solver for the Exponentially Fitted IIPG-0 Method" (2013) Lecture Notes in Computational Science and Engineering. 91:239-246
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Abstract:
We consider an exponentially fitted discontinuous Galerkin method for advection dominated problems and propose a block solver for the resulting linear systems. In the case of strong advection the solver is robust with respect to the advection direction and the number of unknowns. © Springer-Verlag Berlin Heidelberg 2013.
Registro:
| Documento: | Artículo |
| Título: | A Block Solver for the Exponentially Fitted IIPG-0 Method |
| Autor: | de Dios, B.A.; Lombardi, A.; Pietra, P.; Zikatanov, L.; Bank R.; Holst M.; Xu J.; Widlund O. |
| Filiación: | Centre de Recerca Matemàtica, Barcelona, Spain Departamento de Matemática, Universidad de Buenos Aires and CONICET, Buenos Aires, Argentina IMATI-CNR, Pavia, Italy Department of Mathematics, Penn State University, University Park, United States |
| Palabras clave: | Advection-dominated problems; Block solvers; Discontinuous Galerkin methods; Advection; Domain decomposition methods; Linear systems; Galerkin methods |
| Año: | 2013 |
| Volumen: | 91 |
| Página de inicio: | 239 |
| Página de fin: | 246 |
| DOI: | http://dx.doi.org/10.1007/978-3-642-35275-1_27 |
| Título revista: | Lecture Notes in Computational Science and Engineering |
| Título revista abreviado: | Lect. Notes Comput. Sci. Eng. |
| ISSN: | 14397358 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14397358_v91_n_p239_deDios |
Referencias:
- de Dios, B.A., Zikatanov, L., Uniformly convergent iterative methods for discontinuous Galerkin discretizations (2009) J. Sci. Comput., 40 (1-3), pp. 4-36
- Brezzi, F., Marini, L.D., Micheletti, S., Pietra, P., Sacco, R., Wang, S., Discretization of semiconductor device problems. I (2005) Handbook of numerical analysis. Vol. XIII, pp. 317-441. , In, North-Holland, Amsterdam
- Lombardi, A., Pietra, P., Exponentially fitted discontinuous galerkin schemes for singularly perturbed problems (2011) Numerical methods for partial differential equations, , (to appear) doi: 10.1002/num.20701
- Tarjan, R., Depth-first search and linear graph algorithms (1972) SIAM J. Comput., 1 (2), pp. 146-160
- Wang, F., Xu, J., A crosswind block iterative method for convectiondominated problems (1999) SIAM J. Sci. Comput., 21 (2), pp. 620-645
Citas:
---------- APA ----------
de Dios, B.A., Lombardi, A., Pietra, P., Zikatanov, L., Bank R., Holst M., Xu J.,..., Widlund O. (2013) . A Block Solver for the Exponentially Fitted IIPG-0 Method. Lecture Notes in Computational Science and Engineering, 91, 239-246.http://dx.doi.org/10.1007/978-3-642-35275-1_27
---------- CHICAGO ----------
de Dios, B.A., Lombardi, A., Pietra, P., Zikatanov, L., Bank R., Holst M., et al. "A Block Solver for the Exponentially Fitted IIPG-0 Method" . Lecture Notes in Computational Science and Engineering 91 (2013) : 239-246.http://dx.doi.org/10.1007/978-3-642-35275-1_27
---------- MLA ----------
de Dios, B.A., Lombardi, A., Pietra, P., Zikatanov, L., Bank R., Holst M., et al. "A Block Solver for the Exponentially Fitted IIPG-0 Method" . Lecture Notes in Computational Science and Engineering, vol. 91, 2013, pp. 239-246.http://dx.doi.org/10.1007/978-3-642-35275-1_27
---------- VANCOUVER ----------
de Dios, B.A., Lombardi, A., Pietra, P., Zikatanov, L., Bank R., Holst M., et al. A Block Solver for the Exponentially Fitted IIPG-0 Method. Lect. Notes Comput. Sci. Eng. 2013;91:239-246.http://dx.doi.org/10.1007/978-3-642-35275-1_27
