Operator preconditioning: the simplest case

02/23/2021
by   Rob Stevenson, et al.
0

Using the framework of operator or Calderón 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.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
06/21/2019

Uniform preconditioners for problems of positive order

Using the framework of operator or Caldéron preconditioning, uniform pre...
research
11/10/2020

Bi-Parametric Operator Preconditioning

We extend the general operator preconditioning framework [R. Hiptmair, C...
research
05/11/2021

Cospanning characterizations of violator and co-violator spaces

Given a finite set E and an operator sigma:2^E–>2^E, two subsets X,Y of ...
research
09/28/2011

Admissible and Restrained Revision

As partial justification of their framework for iterated belief revision...
research
07/04/2012

A Revision-Based Approach to Resolving Conflicting Information

In this paper, we propose a revision-based approach for conflict resolut...
research
04/14/2020

Uniform preconditioners of linear complexity for problems of negative order

We propose a multi-level type operator that can be used in the framework...
research
10/15/2021

Equivariant and Invariant Reynolds Networks

Invariant and equivariant networks are useful in learning data with symm...

Please sign up or login with your details

Forgot password? Click here to reset