论文标题
通过预处理有限元方法的后验错误估计
A posteriori error estimates of finite element methods by preconditioning
论文作者
论文摘要
我们提出了一个将预处理与有限元方法中的后验错误估计相关联的框架。特别是,我们在子空间校正方法中使用标准工具来获得可靠,有效的误差估计器。作为一个简单的示例,我们恢复了二阶椭圆方程的经典残差误差估计器。
We present a framework that relates preconditioning with a posteriori error estimates in finite element methods. In particular, we use standard tools in subspace correction methods to obtain reliable and efficient error estimators. As a simple example, we recover the classical residual error estimators for the second order elliptic equations.