论文标题
二维椭圆问题的代数多尺度方法
Algebraic Multiscale Method for two--dimensional elliptic problems
论文作者
论文摘要
我们引入了一种代数多尺度方法，用于二维问题。该方法使用基于四边形不合格元件空间的通用多尺度有限元方法。与一维代数多尺度方法不同，我们将缩小技术应用于构建多尺度基础函数。同样，力矩功能被认为在局部基础函数之间施加连续性。提出了一些代表性的数值结果。
We introduce an algebraic multiscale method for two--dimensional problems. The method uses the generalized multiscale finite element method based on the quadrilateral nonconforming finite element spaces. Differently from the one--dimensional algebraic multiscale method, we apply the dimension reduction techniques to construct multiscale basis functions. Also moment functions are considered to impose continuity between local basis functions. Some representative numerical results are presented.
