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  

D-N Alternating Method Based on the Curved Edge Finite Element forAnisotropic Exterior Problems in a Concave Angle

作　　者：涂明玥 TU Mingyue(School of Applied Mathematics,Nanjing University of Finance&Economics,Nanjing 210023,China)

机构地区：[1]南京财经大学应用数学学院,江苏南京210023

出　　处：《吉首大学学报（自然科学版）》2023年第4期31-38,共8页Journal of Jishou University(Natural Sciences Edition)

基　　金：江苏省高校自然科学研究面上项目(14KJB110007)。

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.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.

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 

分 类 号：O241.82[理学—计算数学]