Quasi-Newton minimization for the p(x)-Laplacian problem
Quasi-Newton minimization for the p(x)-Laplacian problem
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DOI：
10.1016/j.cam.2016.06.026
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
M. Caliari;S. Zuccher
中科院分区：
文献类型：
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作者：
M. Caliari;S. Zuccher
提出了一种求解p（x）-Laplacian椭圆问题的拟牛顿极小化方法，x∈ Ω <$Rm.这种方法优于现有的p（x）变量的情况下，这是基于通用的最小化，如BFGS。此外，当与文献中可用于p-常数情况的特别技术（通常称为“网格独立”）相比时，由于二次模型给出的更好的下降方向，本方法通常被证明是上级。
We propose a quasi-Newton minimization approach for the solution of the p (x)-Laplacian elliptic problem, x∈ Ω⊂ R m. This method outperforms those existing for the p (x)-variable case, which are based on general purpose minimizers such as BFGS. Moreover, when compared to ad hoc techniques available in literature for the p-constant case, and usually referred to as “mesh independent”, the present method turns out to be generally superior thanks to better descent directions given by the quadratic model.