A nonlinear PPH-type reconstruction based on equilateral triangles
Numerical Analysis
2022-02-21 v2 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2202.02293,
title = {A nonlinear PPH-type reconstruction based on equilateral triangles},
author = {S. Amat and P. Ortiz and J. Ruiz and J. C. Trillo and D. F. Yañez},
journal= {arXiv preprint arXiv:2202.02293},
year = {2022}
}
Comments
12 pages, 3 figures