一类二维椭圆界面问题的虚单元方法计算

Virtual element method for a class of two-dimensional elliptic interface problems

针对一类椭圆界面问题,采用一种近年来新提出的虚单元方法进行求解。基于虚单元法适用于任意多边形网格的特点,将该方法应用于六种不同的多边形网格下,求解一类椭圆界面问题,并给出虚单元法的计算公式。数值结果表明,虚单元方法应用于椭圆界面问题是有效的。

For a class of elliptic interface problems,a new virtual element method is used to solve these problems.Based on the characteristic that virtual element method is suitable for arbitrary polygon mesh,this method is applied to six different polygon meshes to solve a class of elliptic interface problems,and the calculation formula of virtual element method is given.Numerical results show that the virtual element method is effective for elliptic interface problems.