2005 年 8 巻 p. 233-242
In this paper, a relationship between the stabilized.finite element method and the bubble function element stabilization method with orthogonal basis is shown for the unsteady and steady Navier-Stokes equations. A two-level three-level formulation with bubble function, a bubble function element stabilization method, is proposed for incompressible viscous flow. The special bubble function with two-level partition is extended as an orthogonal basis bubble function element. The three-level bubble function is applied to derive a stabilized operator control term. The two-level three-level formulation with the bubble function formulation possesses better stability than the Bubnov-Galerkin formulation with the bubble function.