An eXtended Stochastic Finite Element Method for solving stochastic partial differential equations on random domainsReportar como inadecuado




An eXtended Stochastic Finite Element Method for solving stochastic partial differential equations on random domains - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

1 GeM - Institut de Recherche en Génie Civil et Mécanique

Abstract : Recently, a new strategy was proposed to solve stochastic partial differential equations on random domains. It is based on the extension to the stochastic framework of the eXtended Finite Element Method X-FEM. This method leads by a ``direct- calculus to an explicit solution in terms of the variables describing the randomness on the geometry. It relies on two major points: the implicit representation of complex geometries using random level-set functions and the use of a Galerkin approximation at both stochastic and deterministic levels. In this article, we detail the basis of this technique, from theoretical and technical points of view. Several numerical examples illustrate the efficiency of this method and compare it to other approaches.

Keywords : Computational stochastic mechanics Stochastic partial differential equations Random domain Extended finite element method Stochastic finite element Polynomial chaos





Autor: Anthony Nouy - Alexandre Clement - Franck Schoefs - N. Moes -

Fuente: https://hal.archives-ouvertes.fr/



DESCARGAR PDF




Documentos relacionados