High-order schemes for Hamilton-Jacobi equations on triangular meshes
High-order schemes for Hamilton-Jacobi equations on triangular meshes
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DOI：
10.1016/j.cam.2003.09.051
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发表时间：
2004-05
影响因子：
2.4
通讯作者：
X.-G. Xiang-Gui Li;C. Chan
中科院分区：
文献类型：
--
作者：
X.-G. Xiang-Gui Li;C. Chan
本文在三角形网格上构造了两种加权基本无振荡（ENO）格式。通过在ENO模板上结合二次多项式和权值，我们构造了一个具有二阶精度的格式和一个具有三阶精度的格式。数值结果表明了加权ENO格式的精度和稳定性以及对间断的分辨能力。
In this paper, two weighted essentially nonoscillatory (ENO) schemes are presented on triangular meshes. By combining quadratic polynomials with weights on the ENO stencil, we construct a scheme with second-order accuracy and another scheme with third-order accuracy. Numerical results show the accuracy and stability of the weighted ENO schemes and resolution for discontinuity.