English

Operator preconditioning: the simplest case

Numerical Analysis 2021-10-27 v1 Numerical Analysis

Abstract

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.

Keywords

Cite

@article{arxiv.2102.11951,
  title  = {Operator preconditioning: the simplest case},
  author = {Rob Stevenson and Raymond van Venetië},
  journal= {arXiv preprint arXiv:2102.11951},
  year   = {2021}
}