Error estimates for a linear folding model
Error estimates for a linear folding model
复制标题
线性折叠模型的误差估计
DOI：
10.1093/imanum/drad004
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发表时间：
2023
影响因子：
2.1
通讯作者：
Tscherner, Philipp
中科院分区：
文献类型：
--
作者：
Bartels, Sören;Bonito, Andrea;Tscherner, Philipp
设计了一种内罚不连续伽辽金方法，利用不连续等参有限元函数逼近线性折叠模型的极小值。离散模型的数值分析包括了用等参网格精确表示折叠曲线时的优先误差估计。另外的估计表明，如果用分段多项式曲线逼近折叠弧，则几何一致性误差可以单独控制。通过各种数值实验验证了折叠模型的优先误差估计。
An interior penalty discontinuous Galerkin method is devised to approximate minimizers of a linear folding model by discontinuous isoparametric finite element functions that account for an approximation of a folding arc. The numerical analysis of the discrete model includes ana priorierror estimate in case of an accurate representation of the folding curve by the isoparametric mesh. Additional estimates show that geometric consistency errors may be controlled separately if the folding arc is approximated by piecewise polynomial curves. Various numerical experiments are carried out to validate thea priorierror estimate for the folding model.