Stochastic variational multiscale analysis of the advection-diffusion equation: advective-diffusive regime and multi-dimensional problems

DOI10.1016/j.cma.2017.07.013zbMath1439.35587OpenAlexW2741959402MaRDI QIDQ2310045

Assad A. Oberai, Jason Li, Jayanth Jagalur-Mohan, Onkar Sahni

Publication date: 6 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2017.07.013

zbMATH Keywords

uncertainty quantificationstochastic advection-diffusion equationprojection-based approximation for radical expressions of gPC expansions (e.g.square-root)stochastic stabilization parameterstochastic variational multiscale formulation

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with randomness, stochastic partial differential equations (35R60)

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