Stokes方程四节点有限单元的构造及其收敛性研究

Formulation of Four-node Finite Elenents for Stokes Equation and Its Convergence Study

本文针对Stokes方程构造了一类四边形四节点有限单元SQ1和SQ1’,从理论上和数值上进行了验证工作,确保这类单元的收敛性,避免了四边形等参元出现压力棋盘格式,这对于建立低参数Stokes有限元模型是十分有意义的。

SQ4 and SQ4' , a kind of quadrilateral elements with four nodes for Stokes equation, are derived in this paper. Theoretic investigation and numerical tests show that the convergence of the elements can be ensured and the pressure chess board model, which often appears in quadrilateral elements, is avoided. The technique presented here is significant for the formulation of low order finite element models for Stokes Equation.