非圧縮体に対する非適合気泡関数を用いたMINI要素によるPetrov-Galerkin有限要素法

抄録

A new Petrov-Galerkin formulation employing the MINI element with a non-confirming bubble function for an incompressible media governed by the Stokes equation, which is to be equivalent to the stabilized finite element method, is proposed. The new formulation possesses better stability properties than conventional Bubnov-Galerkin formulation employing MINI element. In this aspect, the stabilizing effect of this formulation is evaluated by stabilizaing parameter determied by both shape of trial and weighting bubble functions.