Adaptive FEM with goal‐oriented error estimation and an approximation of the dual problem for inelastic problems

Adaptive FEM with goal‐oriented error estimation and an approximation of the dual problem for inelastic problems
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具有面向目标的误差估计和非弹性问题的对偶问题近似的自适应有限元

DOI:
10.1002/pamm.201510293
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发表时间:
2015
期刊:
PAMM
影响因子:
--
通讯作者:
R. Mahnken
R. Mahnken
中科院分区:
--
文献类型:
--
作者:
K.-U. Widany;R. Mahnken

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导出了用于目标导向误差估计的对偶问题的近似,其保留了通常在固体力学的标准有限元实现中发现的原始问题的数值结构。对于误差估计,我们应用高阶恢复过程。给出了弹塑性的一个应用。数值算例验证了该方法的有效性。(© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA,魏因海姆)
An approximation of the dual problem for goal‐oriented error estimation is derived, which preserves the numerical structure of the primal problem, usually found in standard finite element implementations for solid mechanics. For the error estimation we apply a higher‐order recovery procedure. An application to elasto‐plasticity is given. Numerical examples demonstrate the effectiveness of the procedure. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
DOI: 10.1016/j.cma.2006.10.032
发表时间: 2007
影响因子: 7.2
作者:
E. Stein;M. Rüter;S. Ohnimus
通讯作者: S. Ohnimus