论文标题
一种新型的正规化策略，用于局部不连续的Galerkin方法，用于重新定位
A novel regularization strategy for the local discontinuous Galerkin method for level-set reinitialization
论文作者
论文摘要
在本文中，我们为局部不连续的Galerkin方法提出了一种新颖的正则化策略，以在级别重新定性的背景下解决汉密尔顿 - 雅各布利方程。新颖的正则想法类似于基于有限体积子细胞的不连续的盖尔金方法的冲击捕捉方案。本着这种精神，将局部不连续的盖尔金方法与上风/下风的有限体积子单离散化结合在一起，该批量的副细胞离散化，该量适用于低规律性的领域。为了确保对非结构化网格的适用性，有限的卷离散化基于最小二乘方法。
In this paper we propose a novel regularization strategy for the local discontinuous Galerkin method to solve the Hamilton-Jacobi equation in the context of level-set reinitialization. The novel regularization idea works in analogy to shock-capturing schemes for discontinuous Galerkin methods, which are based on finite volume sub-cells. In this spirit, the local discontinuous Galerkin method is combined with an upwind/downwind finite volume sub-cell discretization, which is applied in areas of low regularity. To ensure the applicability on unstructured meshes, the finite volume discretization is based on a least squares approach.
