Numerical comparison of some Hessian recovery techniques
Numerical comparison of some Hessian recovery techniques
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DOI：
10.1002/nme.2036
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发表时间：
2007-11
影响因子：
2.9
通讯作者：
M. Vallet;C.‐M. Manole;J. Dompierre;Steven Dufour;F. Guibault
中科院分区：
文献类型：
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作者：
M. Vallet;C.‐M. Manole;J. Dompierre;Steven Dufour;F. Guibault
在后验误差指示器中使用导数恢复技术来驱动网格自适应。它们在计算域的核心和边界上的行为构成了后续网格适应过程的重要效率因素。本文提出了一种比较分段线性近似下二阶导数恢复方法的方法。提出了一种利用一系列网格上插值的解析函数来衡量恢复技术性能的系统方法。在不同类型的网格上，对最近发表的一些恢复技术以及新的恢复技术的渐近行为进行了数值评估。对恢复技术的选择提出了建议。版权所有©2007 John Wiley&Sons，Ltd.
Derivative recovery techniques are used in a posteriori error indicators to drive mesh adaptation. Their behaviour in the core of the computational domain and on boundaries constitutes an important efficiency factor for a subsequent mesh adaptation process. A methodology to compare recovery techniques for second‐order derivatives from a piecewise linear approximation is presented in this paper. A systematic approach to measuring the performance of recovery techniques using analytical functions interpolated on a series of meshes is proposed. The asymptotic behaviour of some recently published recovery techniques, as well as new ones, is numerically assessed on various type of meshes. Recommendations are done on the choice of a recovery technique. Copyright © 2007 John Wiley & Sons, Ltd.