Comparison of adaptive algorithms for solving plane problems of classical and cosserat elasticity

被引:0
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作者
Churilova, M.A. [1 ]
Frolov, M.E. [1 ]
机构
[1] Peter the Great St.Petersburg Polytechnic University, Polytechnicheskaya st. 29, Saint-Petersburg, Russia
来源
Materials Physics and Mechanics | 2017年 / 32卷 / 03期
关键词
A-posteriori error estimates - Cosserat elasticity - Functional approach - Mesh adaptation - Numerical implementation - Numerical testing - Posteriori error control - Solution process;
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摘要
Paper continues developments and numerical testing of functional approach [1-3] to a posteriori error control for 2D problems of classical [2] and Cosserat elasticity [4,5]. The approach yields reliable error bounds (majorants) that are valid for all conforming solutions of problems regardless of methods used for a numerical implementation of a solution process. Efficiency of the above technique is shown on a set of numerical examples including consequent mesh adaptations with MATLAB tools as it was done [6]. © 2017, Peter the Great St. Petersburg Polytechnic University.
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页码:370 / 382
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