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An extended stochastic finite element method for solving stochastic partial differential equations on random domains
| Content Provider | CiteSeerX |
|---|---|
| Author | Nouy, A. Schoefs, F. |
| Abstract | Recently, a new strategy was proposed to solve stochastic partial differential equa-tions 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 random-ness 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 ap-proximation 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. |
| File Format | |
| Journal | Comput. Methods Appl. Mech. Engrg |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Random Domain Stochastic Partial Differential Equation Extended Stochastic Finite Element Method Explicit Solution Random Level-set Function Complex Geometry Stochastic Partial Differential Equa-tions Direct Calculus Implicit Representation Several Numerical Example Deterministic Level Major Point Technical Point Extended Finite Element Method Stochastic Framework Galerkin Ap-proximation New Strategy |
| Content Type | Text |
| Resource Type | Article |
