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- W4287688519 abstract "Convergence of an adaptive collocation method for the stationary parametric diffusion equation with finite-dimensional affine coefficient is shown. The adaptive algorithm relies on a recently introduced residual-based reliable a posteriori error estimator. For the convergence proof, a strategy recently used for a stochastic Galerkin method with an hierarchical error estimator is transferred to the collocation setting. Extensions to other variants of adaptive collocation methods (including the classical one proposed in the paper Dimension-adaptive tensor-product quadratuture Computing (2003) by T. Gerstner and M. Griebel) is explored." @default.
- W4287688519 created "2022-07-26" @default.
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- W4287688519 date "2020-08-17" @default.
- W4287688519 modified "2023-09-26" @default.
- W4287688519 title "On the convergence of adaptive stochastic collocation for elliptic partial differential equations with affine diffusion" @default.
- W4287688519 doi "https://doi.org/10.48550/arxiv.2008.07186" @default.
- W4287688519 hasPublicationYear "2020" @default.
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