论文标题
与Darcy的Galerkin近似和Stokes问题的重叠的局部预测稳定
An overlapping local projection stabilization for Galerkin approximations of Darcy and Stokes problems
论文作者
论文摘要
本文介绍了对Darcy流量和Stokes问题的一般局部投影稳定的有限元近似的先验分析。一阶构型P1有限元空间用于近似速度和压力。结果表明，稳定的离散双线性形式满足了相对于广义局部投影规范的INF-SUP条件。此外，对于两个问题，都会得出先验错误估计。最后，通过适当的数值示例证明了所提出的稳定方案的验证。
A priori analysis for a generalized local projection stabilized conforming finite element approximation of Darcy flow and Stokes problems is presented in this paper. A first-order conforming P1 finite element space is used to approximate both the velocity and the pressure. It is shown that the stabilized discrete bilinear form satisfy the inf-sup condition with respect to a generalized local projection norm. Moreover, a priori error estimates are derived for both problems. Finally, the validation of the proposed stabilization scheme is demonstrated with appropriate numerical examples.
