hp-FEM for second moments of elliptic PDEs with stochastic data II
Metadata only
Datum
2012-09Typ
- Journal Article
Abstract
We prove exponential rates of convergence of a class of $hp$ Galerkin Finite Element approximations of solutions to a model tensor nonhypoelliptic equation in the unit square □ = (0,1)$^2$ which exhibit singularities on ∂□ and on the diagonal Δ = {($x,y$) ∈ □ : $x$ = $y$}, but are otherwise analytic in □. As we explained in the first part (Pentenrieder and Schwab, Research Report, Seminar for Applied Mathematics, 2010) 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 $f$. Mehr anzeigen
Publikationsstatus
publishedExterne Links
Zeitschrift / Serie
Numerical Methods for Partial Differential EquationsBand
Seiten / Artikelnummer
Verlag
WileyThema
hp-FEM; Stochastic PDE; Exponential convergenceOrganisationseinheit
03435 - Schwab, Christoph / Schwab, Christoph
Förderung
247277 - Automated Urban Parking and Driving (EC)
Zugehörige Publikationen und Daten
Continues: http://hdl.handle.net/20.500.11850/40041
References: https://doi.org/10.3929/ethz-a-010403610