Uniform preconditioners for problems of positive order
Numerical Analysis
2020-04-15 v1 Numerical Analysis
Abstract
Using the framework of operator or Cald\'{e}ron preconditioning, uniform preconditioners are constructed for elliptic operators of order discretized with continuous finite (or boundary) elements. The cost of the preconditioner is the cost of the application an elliptic opposite order operator discretized with discontinuous or continuous finite elements on the same mesh, plus minor cost of linear complexity. Herewith the construction of a so-called dual mesh is avoided.
Cite
@article{arxiv.1906.09164,
title = {Uniform preconditioners for problems of positive order},
author = {Rob Stevenson and Raymond van Venetië},
journal= {arXiv preprint arXiv:1906.09164},
year = {2020}
}