Stochastic Galerkin approximation of the Reynolds equation with irregular film thickness

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Stochastic Galerkin approximation of the Reynolds equation with irregular film thickness. / Gustafsson, Tom; Hakula, Harri; Leinonen, Matti.

In: Computers and Mathematics with Applications, Vol. 74, No. 7, 10.2017, p. 1590-1606.

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@article{45af2d163c7a463ba9510b6f0d0333b8,
title = "Stochastic Galerkin approximation of the Reynolds equation with irregular film thickness",
abstract = "We consider the approximation of the Reynolds equation with an uncertain film thickness. The resulting stochastic partial differential equation is solved numerically by the stochastic Galerkin finite element method with high-order discretizations both in spatial and stochastic domains. We compute the pressure field of a journal bearing in various numerical examples that demonstrate the effectiveness and versatility of the approach. The results suggest that the stochastic Galerkin method is capable of supporting design when manufacturing imperfections are the main sources of uncertainty.",
keywords = "Reynolds equation, sGFEM, Stochastic surfaces",
author = "Tom Gustafsson and Harri Hakula and Matti Leinonen",
year = "2017",
month = "10",
doi = "10.1016/j.camwa.2017.06.012",
language = "English",
volume = "74",
pages = "1590--1606",
journal = "Computers and Mathematics with Applications",
issn = "0898-1221",
publisher = "Elsevier Limited",
number = "7",

}

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TY - JOUR

T1 - Stochastic Galerkin approximation of the Reynolds equation with irregular film thickness

AU - Gustafsson, Tom

AU - Hakula, Harri

AU - Leinonen, Matti

PY - 2017/10

Y1 - 2017/10

N2 - We consider the approximation of the Reynolds equation with an uncertain film thickness. The resulting stochastic partial differential equation is solved numerically by the stochastic Galerkin finite element method with high-order discretizations both in spatial and stochastic domains. We compute the pressure field of a journal bearing in various numerical examples that demonstrate the effectiveness and versatility of the approach. The results suggest that the stochastic Galerkin method is capable of supporting design when manufacturing imperfections are the main sources of uncertainty.

AB - We consider the approximation of the Reynolds equation with an uncertain film thickness. The resulting stochastic partial differential equation is solved numerically by the stochastic Galerkin finite element method with high-order discretizations both in spatial and stochastic domains. We compute the pressure field of a journal bearing in various numerical examples that demonstrate the effectiveness and versatility of the approach. The results suggest that the stochastic Galerkin method is capable of supporting design when manufacturing imperfections are the main sources of uncertainty.

KW - Reynolds equation

KW - sGFEM

KW - Stochastic surfaces

U2 - 10.1016/j.camwa.2017.06.012

DO - 10.1016/j.camwa.2017.06.012

M3 - Article

VL - 74

SP - 1590

EP - 1606

JO - Computers and Mathematics with Applications

T2 - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

SN - 0898-1221

IS - 7

ER -

ID: 16129577