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math.NA2024
Goal-Oriented Error Estimation and Adaptivity for Stochastic Collocation FEM
Alex Bespalov, Dirk Praetorius, Thomas Round +1
We propose and analyze a general goal-oriented adaptive strategy for approximating quantities of interest (QoIs) associated with solutions to linear elliptic partial differential e…
math.NA2024
Convergence analysis of the adaptive stochastic collocation finite element method
Alex Bespalov, Andrey Savinov
This paper is focused on the convergence analysis of an adaptive stochastic collocation algorithm for the stationary diffusion equation with parametric coefficient. The algorithm e…