41 citations · 83 across the 3 of their papers we have counts for
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math.NA2018★ 22 cited
Convergence of adaptive stochastic Galerkin FEM
Alex Bespalov, Dirk Praetorius, Leonardo Rocchi +1
We propose and analyze novel adaptive algorithms for the numerical solution of elliptic partial differential equations with parametric uncertainty. Four different marking strategie…
math.NA2018★ 20 cited
Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs
Alex Bespalov, Dirk Praetorius, Leonardo Rocchi +1
We use the ideas of goal-oriented error estimation and adaptivity to design and implement an efficient adaptive algorithm for approximating linear quantities of interest derived fr…