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APPLICATION OF THE B SPLINE FINITE ELEMENT METHOD IN POLAR COORDINATES TO SOLVING BOUNDARY VALUE PROBLEMS WITH SINGULARITIES AT A SHARP CORNER
Li Ronglin, Ni Guangzheng, Yu Jihui
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS
1997, 14 (1):
121-128.
Based on the distribution characteristic of fields in the neighbourhood of a sharp corner, the B spline finite element method in polar coordinates is exploited for solving the boundary-value problems with singularities at the sharp corner. The proposed method improves the overall accuracy and is convenient to implement. The Motz problem, cracked-beam problem, and eigenvalue problem for the sector waveguides are calculated and analyzed to verify the validity of the method.
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