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Operator preconditioning: the simplest case
arXiv - CS - Numerical Analysis Pub Date : 2021-02-23 , DOI: arxiv-2102.11951 Rob Stevenson, Raymond van Venetië
arXiv - CS - Numerical Analysis Pub Date : 2021-02-23 , DOI: arxiv-2102.11951 Rob Stevenson, Raymond van Venetië
Using the framework of operator or Calder\'on preconditioning, uniform
preconditioners are constructed for elliptic operators discretized with
continuous finite (or boundary) elements. The preconditioners are constructed
as the composition of an opposite order operator, discretized on the same
ansatz space, and two diagonal scaling operators.
中文翻译:
操作员预处理:最简单的情况
使用算子或Calder'on预处理的框架,为离散化具有连续有限(或边界)元素的椭圆算子构造统一的预处理器。预处理器由反序算子和两个对角线缩放算子组成,该算子在相同的ansatz空间上离散。
更新日期:2021-02-25
中文翻译:
操作员预处理:最简单的情况
使用算子或Calder'on预处理的框架,为离散化具有连续有限(或边界)元素的椭圆算子构造统一的预处理器。预处理器由反序算子和两个对角线缩放算子组成,该算子在相同的ansatz空间上离散。