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20082022
most citedAdaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems

50 citations · 130 across the 16 of their papers we have counts for

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math.NA2022

Goal-oriented adaptivity for multilevel stochastic Galerkin FEM with nonlinear goal functionals

Alex Bespalov, Dirk Praetorius, Michele Ruggeri

This paper is concerned with the numerical approximation of quantities of interest associated with solutions to parametric elliptic partial differential equations (PDEs). The key n…

math.NA2022

Error estimation and adaptivity for stochastic collocation finite elements Part II: multilevel approximation

Alex Bespalov, David J. Silvester

A multilevel adaptive refinement strategy for solving linear elliptic partial differential equations with random data is recalled in this work. The strategy extends the a posterior…