吉首大学学报(自然科学版) ›› 2023, Vol. 44 ›› Issue (4): 31-38.DOI: 10.13438/j.cnki.jdzk.2023.04.004
• 数学 • 上一篇 下一篇
涂明玥
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TU Mingyue
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摘要:基于曲边有限元(CFEM)的自然边界元理论,设计出带CFEM的D-N交替算法,来解决无穷凹角区域上的各向异性外问题,并给出了近似解与真解之间的误差估计和收敛性.
关键词: 各向异性外问题, 曲边有限元, D-N交替算法, 误差估计
Abstract: Based on the natural boundary element theory of curved edge finite element,a D-N alternating method with curved edge finite element is established to solve anisotropic elliptic exterior problem in the infinite domain with a concave angle,and to give the error estimation and convergence of the approximate solution of the D-N alternating method.
Key words: anisotropic elliptic exterior problem, curved edge finite element, D-N alternating method, error estimate
涂明玥. 基于CFEM的D-N交替算法的一类凹角区域各向异性外问题求解[J]. 吉首大学学报(自然科学版), 2023, 44(4): 31-38.
TU Mingyue. D-N Alternating Method Based on the Curved Edge Finite Element for Anisotropic Exterior Problems in a Concave Angle[J]. Journal of Jishou University(Natural Sciences Edition), 2023, 44(4): 31-38.
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链接本文: https://zkxb.jsu.edu.cn/CN/10.13438/j.cnki.jdzk.2023.04.004
https://zkxb.jsu.edu.cn/CN/Y2023/V44/I4/31