论文标题

p-laplacian的放松卡卡诺夫方案,具有大P

Relaxed Kacanov scheme for the p-Laplacian with large p

论文作者

Balci, Anna Kh., Diening, Lars, Storn, Johannes

论文摘要

我们引入了一种全球融合的放松卡卡诺夫计划,以将离散最小化器计算到$ p $ - 拉普拉斯问题上,并使用$ 2 \ leq p <\ p <\ infty $。迭代方案很容易实施,因为每个迭代仅来自加权,线性泊松问题的求解。它既不需要额外的线路搜索,也不需要涉及步长长度的未知常数。收敛速率与基础网格无关。

We introduce a globally convergent relaxed Kacanov scheme for the computation of the discrete minimizer to the $p$-Laplace problem with $2 \leq p < \infty$. The iterative scheme is easy to implement since each iterate results only from the solve of a weighted, linear Poisson problem. It neither requires an additional line search nor involves unknown constants for the step length. The rate of convergence is independent of the underlying mesh.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源