Embedded pairs of fractional step Runge-Kutta methods and improved domain decomposition techniques for parabolic problems
Fecha
2007Versión
Acceso abierto / Sarbide irekia
Tipo
Contribución a congreso / Biltzarrerako ekarpena
Versión
Versión aceptada / Onetsi den bertsioa
Impacto
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10.1007/978-3-540-34469-8_91
Resumen
In this paper we design and apply new embedded pairs of Frac-
tional Step Runge-Kutta methods to the e±cient solution of multidimensional
parabolic problems. These time integrators are combined with a suitable split-
ting of the elliptic operator subordinated to a decomposition of the spatial
domain and a standard spatial discretization. With this technique we ob-
tain parallel algorithms wh ...
[++]
In this paper we design and apply new embedded pairs of Frac-
tional Step Runge-Kutta methods to the e±cient solution of multidimensional
parabolic problems. These time integrators are combined with a suitable split-
ting of the elliptic operator subordinated to a decomposition of the spatial
domain and a standard spatial discretization. With this technique we ob-
tain parallel algorithms which have the main advantages of classical domain
decomposition methods and, besides, avoid iterative processes like Schwarz
iterations, typical of them. The use of these embedded methods permits a
fast variable step time integration process. [--]
Materias
Fractional step Runge-Kutta methods,
Embedded pairs
Editor
Springer
Publicado en
Widlund, O. B.; Keyes, D. E. (Eds.). Domain Decomposition Methods in Science and Engineering XVI. Berlín: Springer; 2007. p.731-738 978-3-540-34468-1
Departamento
Universidad Pública de Navarra. Departamento de Ingeniería Matemática e Informática /
Nafarroako Unibertsitate Publikoa. Matematika eta Informatika Ingeniaritza Saila
Versión del editor
Entidades Financiadoras
This research is partially supported by the MEC research project num. MTM2004-05221.