Stochastic Galerkin approximation of the Reynolds equation with irregular film thickness

DOI10.1016/j.camwa.2017.06.012zbMath1475.65190OpenAlexW2728991987MaRDI QIDQ1663823

Matti Leinonen, Tom Gustafsson, Harri Hakula

Publication date: 24 August 2018

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.06.012

zbMATH Keywords

Reynolds equationsGFEMstochastic surfaces

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Thin fluid films (76A20) Lubrication theory (76D08) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Uses Software

• Mathematica

Cites Work

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• Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs
• Homogenization of soft interfaces in time-dependent hydrodynamic lubrication
• Homogenized elliptic equations and variational inequalities with oscillating parameters. Application to the study of thin flow behavior with rough surfaces
• Sparse high order FEM for elliptic sPDEs
• Studies in convergence of stochastic models in rough-surface hydrodynamic lubrication theory
• Convergence analysis of multilevel Monte Carlo variance estimators and application for random obstacle problems
• ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDE'S
• Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs
• Block-diagonal preconditioning for spectral stochastic finite-element systems
• Random Fields and Geometry

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