期刊论文

Nie, Cunyun(ncy1028@163.com)

英文

Journal of Computational and Applied Mathematics

0377-0427

2022

414

114458

10.1016/j.cam.2022.114458

The work is supported partially by the Natural Science Foundation of Hunan Province, China (No. 2021JJ30178 , No. 2021JJ50108 , No. 2021JJ30209 and No. 2020JJ4242 ). The work is supported partially by the Natural Science Foundation of Hunan Province (No. 2021JJ30178 , No. 2021JJ50108 , No. 2021JJ30209 and No. 2020JJ4242 ). The authors thank the referees for their valuable suggestion to improve this paper greatly. The authors also thank Dr. Zhiqiang Sheng for the valuable discussion with us.

本校为其他机构

We present a novel monotone finite volume element scheme for the diffusion problem on triangular grids. Firstly, one fictitious triangular element is introduced for each edge of any element, and another vertex of this fictitious element is on the outward extended straight line passing through two points: The vertex opposite to this edge and the barycenter of the element. The diffusive tensor and the solution in this element are continuously extended to its corresponding fictitious element. The fictitious element and the continuous extension not...