hp-FEM for second moments of elliptic PDEs with stochastic data. I. Analytic regularity
DOI10.1002/num.20696zbMath1386.65041OpenAlexW2080040522MaRDI QIDQ3166285
Bastian Pentenrieder, Christoph Schwab
Publication date: 11 October 2012
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.20696
Random fields (60G60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Random operators and equations (aspects of stochastic analysis) (60H25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Numerical solutions to stochastic differential and integral equations (65C30)
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Cites Work
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- Sparse finite element methods for operator equations with stochastic data.
- Sparse finite elements for stochastic elliptic problems --- higher order moments
- Sparse finite elements for elliptic problems with stochastic loading
- An introduction to infinite-dimensional analysis
- Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs
- hp-FEM for second moments of elliptic PDEs with stochastic data. II: Exponential convergence for stationary singular covariance functions
- Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. Part I. Boundary Value Problems for Linear Elliptic Equation of Second Order
- On the regularity of solutions of a homogeneous Dirichlet problem for a non-hypoelliptic linear partial differential operator
- Random Fields
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