管道Bingham流问题的窄四边形元逼近

Narrow Quadrilateral Element Method for Bingham Fluid Problem

讨论了管道Bingham流问题的窄四边形元逼近方法.在区域剖分不要求满足通常的正则性假设或拟一致性假设情形下,通过各向异性窄四边形元及利用相应椭圆投影,得到了与传统有限元相同的最优误差估计,从而扩展了有限元的工程应用范围.

The paper mainly discusses narrow quadrilateral element methods for bingham fluid problem. We show that, without the usual regularity condition and quasi-uniform assmption, by using anisotropic narrow quadrilateral element and the elliptic projection, the same optimal error estimate as that for the traditional finite element method can be obtained. And so on, the application of finite element methods can be extended.