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A Static Condensation Reduced Basis Element Approach for the Reynolds Lubrication Equation

A Static Condensation Reduced Basis Element Approach for the Reynolds Lubrication Equation

Year:    2017

Author:    Eduard Bader, Martin A. Grepl, Siegfried Müller

Communications in Computational Physics, Vol. 21 (2017), Iss. 1 : pp. 126–148

Abstract

In this paper, we propose a Static Condensation Reduced Basis Element (SCRBE) approach for the Reynolds Lubrication Equation (RLE). The SCRBE method is a computational tool that allows to efficiently analyze parameterized structures which can be decomposed into a large number of similar components. Here, we extend the methodology to allow for a more general domain decomposition, a typical example being a checkerboard-pattern assembled from similar components. To this end, we extend the formulation and associated a posteriori error bound procedure. Our motivation comes from the analysis of the pressure distribution in plain journal bearings governed by the RLE. However, the SCRBE approach presented is not limited to bearings and the RLE, but directly extends to other component-based systems. We show numerical results for plain bearings to demonstrate the validity of the proposed approach.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.130815.180416a

Communications in Computational Physics, Vol. 21 (2017), Iss. 1 : pp. 126–148

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    23

Keywords:   

Author Details

Eduard Bader

Martin A. Grepl

Siegfried Müller

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