An adaptive finite element method for the inequality-constrained Reynolds equation

Gustafsson Tom; Rajagopal Kumbakonam R.; Stenberg Rolf; Videman Juha

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An adaptive finite element method for the inequality-constrained Reynolds equation

机译：不等式约束雷诺方程的一种自适应有限元方法

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摘要

We present a stabilized finite element method for the numerical solution of cavitation in lubrication, modeled as an inequality-constrained Reynolds equation. The cavitation model is written as a variable coefficient saddle-point problem and approximated by a residual-based stabilized method. Based on our recent results on the classical obstacle problem, we present optimal a priori estimates and derive novel a posteriori error estimators.

机译：我们为润滑中的气穴现象提供了一种稳定的有限元方法，以不等式约束的雷诺方程为模型。空化模型被写为一个变系数鞍点问题，并通过基于残差的稳定方法进行近似。基于我们在经典障碍问题上的最新研究成果，我们提出了最优的先验估计，并得出了新颖的后验误差估计量。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2018年第1期|156-170|共15页
作者
Gustafsson Tom; Rajagopal Kumbakonam R.; Stenberg Rolf; Videman Juha;
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作者单位

Aalto Univ, Dept Math & Syst Anal, POB 11100, FI-00076 Aalto, Finland;

Texas A&M Univ, Dept Mech Engn, College Stn, TX 77843 USA;

Aalto Univ, Dept Math & Syst Anal, POB 11100, FI-00076 Aalto, Finland;

Univ Lisbon, Inst Super Tecn, CAMGSD, Av Rovisco Pais 1, P-1049001 Lisbon, Portugal;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Reynolds equation; Variational inequality; Stabilized finite element method;

机译：雷诺方程;变分不等式;稳定有限元法;

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7. An adaptive finite element method for the inequality-constrained Reynolds equation [O] . Gustafsson, Tom, Rajagopal, K. R., Stenberg, Rolf, 2017

机译：不等式约束的自适应有限元方法雷诺方程

An adaptive finite element method for the inequality-constrained Reynolds equation

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