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A novel monotone finite volume element scheme for diffusion equations

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成果类型:
期刊论文
作者:
Nie, Cunyun;Shu, Shi;Liu, Menghuan
通讯作者:
Cunyun Nie
作者机构:
[Nie, Cunyun] Hunan Inst Engn, Sch Computat Sci & Elect, Xiangtan 411104, Hunan, Peoples R China.
[Shu, Shi] Xiangtan Univ, Sch Math & Comp Sci, Xiangtan 411105, Hunan, Peoples R China.
[Liu, Menghuan] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构:
[Cunyun Nie] S
School of Computational Science and Electronics, Hunan Institute of Engineering, Xiangtan 411104, Hunan, China
语种:
英文
关键词:
Monotonicity;Nonlinear two-point flux;Linear finite volume element;Diffusion equation
期刊:
Journal of Computational and Applied Mathematics
ISSN:
0377-0427
年:
2022
卷:
414
页码:
114458
基金类别:
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...

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