A reduced basis approach for some weakly stochastic multiscale problems

DOI10.1007/s11401-012-0736-xzbMath1269.35002OpenAlexW1977924202MaRDI QIDQ1928185

Florian Thomines, Claude Le Bris

Publication date: 2 January 2013

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-012-0736-x

zbMATH Keywords

stochastic homogenizationperturbation approachreduced basis

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Random operators and equations (aspects of stochastic analysis) (60H25) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Cites Work

• Reduced basis techniques for stochastic problems
• Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
• Homogenization of a weakly randomly perturbed periodic material
• Some Numerical Approaches for Weakly Random Homogenization
• A Numerical Approach Related to Defect-Type Theories for Some Weakly Random Problems in Homogenization
• Elements of Mathematical Foundations for Numerical Approaches for Weakly Random Homogenization Problems
• Unnamed Item

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