摘要
对某些具有圆弧边界的边值问题,在极坐标系或球坐标系中求解,有助于避免剖分误差并提高计算精度。B样条有限元法可以很方便地在这些曲线坐标系中得到推广。本文首先建立了极坐标系和球坐标系中的B样条有限元方程,然后通过对TEAM Workshop问题2及问题6的计算,验证方法的有效性。
The subdivision errors may be avoided as the finite element methods in polar coordinates or spherical coordinates are used to solve some special two-dimeasion boundary value problems whose field regions have circular boundaries, thus improving the computational accuracy. The B-spline finite element method can be directly extended to such curvilinear coordinates. The B-spline finite element formulatioas in polar coordinates and spherical coordintes are presented.The TEAM Workshop problems 2 and 6 are calculated to verify the validity of the method.
出处
《电工技术学报》
EI
CSCD
北大核心
1996年第6期32-36,共5页
Transactions of China Electrotechnical Society
基金
国家自然科学基金资助项目
