论文标题
基于等边三角形的非线性PPH型重建
A nonlinear PPH-type reconstruction based on equilateral triangles
论文作者
论文摘要
在本文中，我们在具有等边三角形的二维三角化域上引入了一个新的非线性重建算子。我们专注于操作员的本地定义。这个定义背后的想法来自三个正值的谐波平均值的一些基本属性。我们证明了有关操作员的近似特性的一些结果，我们进行了一些数值测试，证明避免了任何Gibbs效应。
In this paper we introduce a new nonlinear reconstruction operator over two dimensional triangularized domains with equilateral triangles. We focus on the local definition of the operator. The ideas behind this definition come from some basic properties of the Harmonic mean of three positive values. We prove some results regarding the approximation properties of the operator and we carry out some numerical tests giving evidence of the avoidance of any Gibbs effects.
