hp-FEM for second moments of elliptic PDEs with stochastic data Part 2: Exponential convergence
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Date
2010-03Type
- Report
ETH Bibliography
yes
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Abstract
We prove exponential rates of convergence of a class of $hp$ Galerkin Finite Element approximations of solutions to a model tensor non-hypoelliptic equation in the unit square □ = (0,1)$^2$ which exhibit singularities on ∂□ and on the diagonal ∆ = {($x,y$) ∈ □ : $x$ = $y$}, but are otherwise analytic in □. As we explained in the first part [6] of this work, such problems arise as deterministic second moment equations of linear, second order elliptic operator equations $Au = f$ with Gaussian random field data $f$. Show more
Permanent link
https://doi.org/10.3929/ethz-a-010403610Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichOrganisational unit
03435 - Schwab, Christoph / Schwab, Christoph
Funding
247277 - Automated Urban Parking and Driving (EC)
Related publications and datasets
Continues: https://doi.org/10.3929/ethz-a-010403614
Is referenced by: http://hdl.handle.net/20.500.11850/40042
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ETH Bibliography
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