Bespalov, Alex; Praetorius, Dirk; Ruggeri, Michele Convergence and rate optimality of adaptive multilevel stochastic Galerkin FEM. (English) Zbl 1502.65188 IMA J. Numer. Anal. 42, No. 3, 2190-2213 (2022). MSC: 65N30 65N15 35J25 35R60 PDFBibTeX XMLCite \textit{A. Bespalov} et al., IMA J. Numer. Anal. 42, No. 3, 2190--2213 (2022; Zbl 1502.65188) Full Text: DOI
Bespalov, Alex; Praetorius, Dirk; Ruggeri, Michele Goal-oriented adaptivity for multilevel stochastic Galerkin FEM with nonlinear goal functionals. arXiv:2208.09388 Preprint, arXiv:2208.09388 [math.NA] (2022). MSC: 35R60 65C20 65N30 65N12 65N15 65N50 BibTeX Cite \textit{A. Bespalov} et al., ``Goal-oriented adaptivity for multilevel stochastic Galerkin FEM with nonlinear goal functionals'', Preprint, arXiv:2208.09388 [math.NA] (2022) Full Text: arXiv OA License
Bespalov, Alex; Praetorius, Dirk; Ruggeri, Michele Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin finite element method. (English) Zbl 1516.65125 SIAM/ASA J. Uncertain. Quantif. 9, 1184-1216 (2021). MSC: 65N30 65N50 65N15 65C20 65F08 65F10 35R60 PDFBibTeX XMLCite \textit{A. Bespalov} et al., SIAM/ASA J. Uncertain. Quantif. 9, 1184--1216 (2021; Zbl 1516.65125) Full Text: DOI arXiv
Bespalov, Alex; Praetorius, Dirk; Rocchi, Leonardo; Ruggeri, Michele Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs. (English) Zbl 1440.65184 Comput. Methods Appl. Mech. Eng. 345, 951-982 (2019). MSC: 65N30 35R60 65N15 65N50 PDFBibTeX XMLCite \textit{A. Bespalov} et al., Comput. Methods Appl. Mech. Eng. 345, 951--982 (2019; Zbl 1440.65184) Full Text: DOI arXiv
Bespalov, Alex; Praetorius, Dirk; Rocchi, Leonardo; Ruggeri, Michele Convergence of adaptive stochastic Galerkin FEM. (English) Zbl 1425.65146 SIAM J. Numer. Anal. 57, No. 5, 2359-2382 (2019). MSC: 65N30 65C20 35R60 65N12 65N15 PDFBibTeX XMLCite \textit{A. Bespalov} et al., SIAM J. Numer. Anal. 57, No. 5, 2359--2382 (2019; Zbl 1425.65146) Full Text: DOI arXiv