Name
Abstract | ||
|---|---|---|
In this paper, we propose an a posteriori error estimator for the numerical approximation of a stochastic magnetostatic problem, whose solution depends on the spatial variable but also on a stochastic one. The spatial discretization is performed with finite elements and the stochastic one with a polynomial chaos expansion. As a consequence, the numerical error results from these two levels of discretization. In this paper, we propose an error estimator that takes into account these two sources of error, and which is evaluated from the residuals. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.cam.2015.03.027 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
Residual-based a posteriori error estimate,Stochastic partial differential equation,Finite element method,Polynomial chaos expansion,Stochastic spectral finite element method | Residual,Discretization,Mathematical optimization,Numerical error,A priori and a posteriori,Finite element method,Polynomial chaos,Stochastic partial differential equation,Mathematics,Estimator | Journal |
Volume | Issue | ISSN |
289 | C | 0377-0427 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| D. H. Mac | 1 | 0 | 0.34 |
| zuqi tang | 2 | 1 | 1.30 |
| Stéphane Clénet | 3 | 4 | 1.62 |
| E. Creusé | 4 | 18 | 4.59 |