有限元自适应随机配置的收敛性

Comput. Math. Appl. Pub Date : 2020-08-28 DOI:10.5445/IR/1000125783

M. Feischl, Andrea Scaglioni

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引用次数: 8

摘要

考虑一类具有随机扩散参数的椭圆型偏微分方程，在参数域用随机配点法离散，在空间域用有限元法离散。首次证明了一种自适应丰富参数空间和细化有限元网格的随机配置算法的收敛性。

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Convergence of adaptive stochastic collocation with finite elements

We consider an elliptic partial differential equation with a random diffusion parameter discretized by a stochastic collocation method in the parameter domain and a finite element method in the spatial domain. We prove for the first time convergence of a stochastic collocation algorithm which adaptively enriches the parameter space as well as refines the finite element meshes.

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来源期刊

Comput. Math. Appl.

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