Convergence of adaptive stochastic collocation with finite elements
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866908386621128704 |
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| author | Feischl, Michael Scaglioni, Andrea |
| author_facet | Feischl, Michael Scaglioni, Andrea |
| contents | We consider an elliptic partial differential equation with a random diffusion parameter discretized by a stochastic collocation method in the parameter domain and a finite element method in the spatial domain. We prove convergence of an adaptive algorithm which adaptively enriches the parameter space as well as refines the finite element meshes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2008_12591 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Convergence of adaptive stochastic collocation with finite elements Feischl, Michael Scaglioni, Andrea Numerical Analysis 65N15 (Primary) 65C20, 65N30, 65N35, 65N12, 65N50 (Secondary) We consider an elliptic partial differential equation with a random diffusion parameter discretized by a stochastic collocation method in the parameter domain and a finite element method in the spatial domain. We prove convergence of an adaptive algorithm which adaptively enriches the parameter space as well as refines the finite element meshes. |
| title | Convergence of adaptive stochastic collocation with finite elements |
| topic | Numerical Analysis 65N15 (Primary) 65C20, 65N30, 65N35, 65N12, 65N50 (Secondary) |
| url | https://arxiv.org/abs/2008.12591 |