基于泡函数的稳定化SUPG方法

SUPG with Bubble Stabilization Parameters

我们提出一类拟一致矩形网格上以泡函数作为稳定化参数的流线迎风Petrov—Galerkin方法。该方法在保持了通常的SUPG方法的良好稳定性与精度之外,还与Petrov—Galerkin方法相容。此外我们给出数值算例以支持这些理论。

In this paper a methoele was proposed a streamline upwind Petrov-Galerkin method （SUPG） with bubble stabilization coefficients on quasi-uniform rectangular meshes. Compared with the standard SUPG,the new algorithm-a consistent Petrov-Galerkin method-also shows good performances on stability and accuracy.Numerical experiments support these results.