论文标题
局部投影稳定的有限元方法，用于对流反应问题
Generalized local projection stabilized finite element method for advection-reaction problems
论文作者
论文摘要
本文介绍了对对流反应方程解决方案解决方案的广义局部投影稳定有限元近似的先验分析。相对于局部投影流线导数范围，为构象和不合格（crouzeix-raviart）近似建立了稳定性和先验误差估计。最后，对提出的稳定方案的验证以及对衍生估计值的验证，通过适当的数值实验进行了验证。
A priori analysis for a generalized local projection stabilized finite element approximations for the solution of an advection-reaction equation is presented in this article. The stability and a priori error estimates are established for both the conforming and the nonconforming (Crouzeix-Raviart) approximations with respect to the local projection streamline derivative norm. Finally, the validation of the proposed stabilization scheme and verification of the the derived estimates are presented with appropriate numerical experiments.
