Adaptive Nonintrusive Reconstruction of Solutions to High-Dimensional Parametric PDEs
Author:
Affiliation:
1. Weierstrass Institute for Applied Analysis and Stochastics Berlin, Berlin, 10117 Germany.
2. 8.4, Physikalisch-Technische Bundesanstalt, Berlin, 10587 Germany.
3. Technische Universität Berlin, Berlin, 10623 Germany.
Funder
Deutsche Forschungsgemeinschaft
German Central Innovation Program
Berlin International Graduate School in Model and Simulation based Research
Publisher
Society for Industrial & Applied Mathematics (SIAM)
Subject
Applied Mathematics,Computational Mathematics
Reference51 articles.
1. Sparse polynomial approximation of parametric elliptic PDEs. Part II: lognormal coefficients
2. Tensor Networks and Hierarchical Tensors for the Solution of High-Dimensional Partial Differential Equations
3. An adaptive stochastic Galerkin method based on multilevel expansions of random fields: Convergence and optimality
4. Goal-oriented adaptive finite element multilevel Monte Carlo with convergence rates
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