IEEE transactions on magnetics, 2014-02, Vol.50 (2), p.545-548
2014
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Details
- Autor(en) / Beteiligte
- Titel
- A Posteriori Error Estimation for Stochastic Static Problems
- Ist Teil von
- IEEE transactions on magnetics, 2014-02, Vol.50 (2), p.545-548
- Ort / Verlag
- New York, NY: IEEE
- Erscheinungsjahr
- 2014
- Quelle
- IEEEXplore
- Beschreibungen/Notizen
- To solve stochastic static field problems, a discretization by the finite-element method can be used. A system of equations is obtained with the unknowns (scalar potential at nodes, for example) being random variables. To solve this stochastic system, the random variables can be approximated in a finite-dimension functional space-a truncated polynomial chaos expansion. The error between the exact solution and the approximated one depends not only on the spatial mesh, but also on the discretization along the stochastic dimension. In this paper, we propose an a posteriori estimation of the error due to the discretization along the stochastic dimension.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0018-9464eISSN: 1941-0069DOI: 10.1109/TMAG.2013.2281103Titel-ID: cdi_ieee_primary_6749207
- Format
- –
- Schlagworte
- Cross-disciplinary physics: materials science, rheology, Electromagnetism, Engineering Sciences, Error analysis, Error estimation, Exact sciences and technology, Finite element analysis, finite-element method (FEM), Magnetism, magnetostatics, Materials science, Mathematical model, Other topics in materials science, Physics, polynomial chaos expansion (PCE), Polynomials, stochastic problems, Stochastic processes, Vectors