scientific article

zbMath1341.65004MaRDI QIDQ2798040

Zhiwen Zhang, Peng-Fei Liu, Thomas Yizhao Hou

Publication date: 1 April 2016

Full work available at URL: http://web.math.sinica.edu.tw/bulletin/archives_articlecontent16.jsp?bid=MjAxNjEwOQ==

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

convergencemodel reductionnumerical resultGalerkin projectionstochastic finite element methodlocal stochastic basisHilbert-Karhunen-Loève expansionstochastic basis function

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

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An iteratively adaptive multi-scale finite element method for elliptic PDEs with rough coefficients ⋮ A data-driven and model-based accelerated Hamiltonian Monte Carlo method for Bayesian elliptic inverse problems ⋮ A Data-Driven Approach for Multiscale Elliptic PDEs with Random Coefficients Based on Intrinsic Dimension Reduction ⋮ A Model Reduction Method for Multiscale Elliptic Pdes with Random Coefficients Using an Optimization Approach ⋮ Optimal local multi-scale basis functions for linear elliptic equations with rough coefficients

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