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Residual-based a posteriori error estimation for stochastic magnetostatic problems - MaRDI portal

Residual-based a posteriori error estimation for stochastic magnetostatic problems (Q2352297)

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Residual-based a posteriori error estimation for stochastic magnetostatic problems
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    Residual-based a posteriori error estimation for stochastic magnetostatic problems (English)
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    30 June 2015
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    A priori error estimates for a class of stochastic magnetostatic problems are established. The basic idea is to decompose the error estimator into a term that depends on the stochastic discretization and a term depending both on the spatial discretization and on the stochastic discretization. Numerical examples illustrate the main results.
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    residual-based a posteriori error estimate
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    stochastic partial differential equation
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    finite element method
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    polynomial chaos expansion
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    stochastic spectral finite element method
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