An energy stable finite element method for the nonlocal electron heat transport model

被引：0
|
作者：
Yuan, Xiaodong [1 ]
Chen, Aimin [2 ]
Guo, Rui [3 ]
Li, Maojun [1 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
[2] Chengdu Coll Univ Elect Sci & Technol China, Sch Arts & Sci, Chengdu Coll, Chengdu 611731, Sichuan, Peoples R China
[3] Shihezi Univ, Coll Sci, Shihezi 832003, Xinjiang, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2025年 / 177卷
基金：
中国国家自然科学基金;
关键词：
Nonlocal electron heat transport; Finite element method; Energy stability; Newton iteration; IMEX scheme; CONDUCTION; PLASMAS;
D O I：
10.1016/j.camwa.2024.11.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the nonlocal electron heat transport model in one and two dimensions is considered and studied. An energy stability finite element method is designed to discretize the nonlocal electron heat transport model. For the nonlinear discrete system, both Newton iteration and implicit-explicit (IMEX) schemes are employed to solve it. Then the energy stability is proved in semi-discrete and fully-discrete schemes. Numerical examples are presented to verify the energy stability of the proposed schemes as well as the optimal convergence order in L infinity ,L2 and H 1 norm.
引用
收藏
页码：23 / 40
页数：18
相关论文
共 50 条
12345