Natural Science Foundation of Hunan Province, China [2021JJ30178, 2021JJ50108, 2021JJ30209, 2020JJ4242]
机构署名:
本校为其他机构
院系归属:
数理学院
摘要:
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 only avoid the phenomenon that the control volume...