Adaptive hp-FEM for the contact problem with Tresca friction in linear elasticity: The primal-dual formulation and a posteriori error estimation

P. Doersek; J.M. Melenk

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Adaptive hp-FEM for the contact problem with Tresca friction in linear elasticity: The primal-dual formulation and a posteriori error estimation

机译：线性弹性中Tresca摩擦接触问题的自适应hp-FEM：原对偶公式和后验误差估计

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We present an a priori analysis of the hp-version of the finite element method for the primal-dual formulation of frictional contact in linear elasticity. We employ a novel hp-mortar projection operator that is uniformly stable in the mesh width and grows slowly in the polynomial degree. We derive an hp-FEM residual error indicator, develop an hp-adaptive strategy that is based on testing for analyticity, and show in numerical examples that the adaptive algorithm can lead to exponential rates of convergence.

机译：我们提出了线性弹性中摩擦接触的原始-双重公式的有限元方法的hp版本的先验分析。我们采用了一种新颖的hp-mortar投影算子，该算子在网格宽度上均匀稳定，并且在多项式度上缓慢增长。我们得出了hp-FEM残余误差指标，开发了基于分析测试的hp自适应策略，并在数值示例中显示了自适应算法可以导致指数收敛。

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来源
《Applied numerical mathematics》 |2010年第7期|P.689-704|共16页
作者
P. Doersek; J.M. Melenk;
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作者单位

Vienna University of Technology, Wiedner Hauptstrasse 8-10, A-1040 Vienna, Austria;

rnVienna University of Technology, Wiedner Hauptstrasse 8-10, A-1040 Vienna, Austria;

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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
finite elements; hp-adaptivity; linear elasticity; tresca friction; residual error indicator;

机译：有限元hp适应性;线弹性特雷斯卡摩擦剩余误差指示器;

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2. Discontinuous Galerkin methods for a contact problem with Tresca friction arising in linear elasticity [J] . Kamana Porwal Applied numerical mathematics . 2017,第feba期

机译：间断Galerkin方法求解线性弹性引起的Tresca摩擦接触问题
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4. hp-FEM for the Contact Problem with Tresca Friction in Linear Elasticity: The Primal Formulation [C] . P. Dorsek, J.M. Melenk International conference on spectral and high order methods . 2011

机译：HP-FEM用于接触问题与线性弹性的Tresca摩擦：原始配方
5. Adaptive Mesh Refinement Based on a Posteriori Error Estimation. [D] . Juhas, Martin. 2014

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7. Adaptive hp-FEM for the Contact Problem with Tresca Friction in Linear Ela- sticity: The Primal-dual Formulation and a Posteriori Error Estimation [O] . Kazuo Aoki, Peter A. Markovich, Jan-frederik Mennemann, 2015

机译：线性能力中Tresca摩擦接触问题的自适应hp-FEm：原始对偶形式和后验误差估计
8. Local a Posteriori Error Estimation on Thin Domains of Linear Elasticity: Theoryand an Example [R] . Ovaskainen, O. 1997

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Adaptive hp-FEM for the contact problem with Tresca friction in linear elasticity: The primal-dual formulation and a posteriori error estimation

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