Analyticity, regularity, and generalized polynomial chaos approximation of stochastic, parametric parabolic two-scale partial differential equations

DOI10.1007/s40306-019-00345-2zbMath1436.35332OpenAlexW2967003116MaRDI QIDQ1987357

Viet Hà Hoàng

Publication date: 14 April 2020

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-019-00345-2

zbMATH Keywords

regularityanalyticitybest \(N\)-term approximationgeneralized polynomial chaos approximationstochastic parabolic two-scale PDEs

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Theoretical approximation in context of PDEs (35A35) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

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• Convergence rates of best \(N\)-term Galerkin approximations for a class of elliptic SPDEs
• High dimensional finite element method for multiscale nonlinear monotone parabolic equations
• High dimensional finite elements for time-space multiscale parabolic equations
• Sparse Tensor Galerkin Discretization of Parametric and Random Parabolic PDEs---Analytic Regularity and Generalized Polynomial Chaos Approximation
• ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDE'S
• Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• High-Dimensional Finite Elements for Elliptic Problems with Multiple Scales
• ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF STOCHASTIC, PARAMETRIC ELLIPTIC MULTISCALE PDEs
• High Dimensional Finite Elements for Multiscale Wave Equations
• Approximation of high-dimensional parametric PDEs
• The Periodic Unfolding Method in Homogenization

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