摘要
利用二元4次样条插值基和三角形面积坐标构造17节点四边形单元.这个新单元具有4次完备阶,通过一些算例测试表明了该单元有较高精度并对网格畸变不敏感.
A 17-node quadrilateral element had been developed using the bivariate quartic spline interpolation basis and the triangular area coordinates, which could exactly model the quartic field. Some appropriate examples are employed to illustrate that the element possesses high precision and is insensitive to mesh distortions.
出处
《应用数学和力学》
CSCD
北大核心
2010年第1期117-126,共10页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(60533060
10672032
10726067)
关键词
17节点样条单元
二元样条插值基
三角形面积坐标
B网方法
4次完备阶
17-node quadrilateral element
bivariate spline interpolation basis
triangular area coordinates
B-net method
fourth-order completeness