2 papers
math.NA2021
Error estimation and adaptivity for stochastic collocation finite elements Part I: single-level approximation
Alex Bespalov, David Silvester, Feng Xu
A general adaptive refinement strategy for solving linear elliptic partial differential equation with random data is proposed and analysed herein. The adaptive strategy extends the…
math.NA2019
A posteriori error estimation and adaptivity in stochastic Galerkin FEM for parametric elliptic PDEs: beyond the affine case
Alex Bespalov, Feng Xu
We consider a linear elliptic partial differential equation (PDE) with a generic uniformly bounded parametric coefficient. The solution to this PDE problem is approximated in the f…