多孔介质中各向异性渗流问题的界面浸入有限元方法

摘要

对刻画多孔介质中各向异性渗流问题的二阶椭圆界面方程提出一种浸入有限元方法.给出的数值算例表明该方法具有对界面问题解的最优阶离散H1-模和L2-模收敛精度.%In this paper we develop an interface immersed finite element (IFE) method for anisotropic flow models governed by elliptic interface problem with discontinuous tensor - coefficient. Numerical experiments are given to show that the IFE solution possesses optimal - order approximations in the broken H1 - norm and L2 -norm.