Uniform preconditioners for problems of positive order

Open Access
Authors
Publication date 15-06-2020
Journal Computers and Mathematics with Applications
Volume | Issue number 79 | 12
Pages (from-to) 3516-3530
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract Using the framework of operator or Caldéron preconditioning, uniform preconditioners are constructed for elliptic operators of order 2s∈[0,2] 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.
Document type Article
Language English
Published at https://doi.org/10.1016/j.camwa.2020.02.009
Published at https://arxiv.org/abs/1906.09164
Other links https://www.scopus.com/pages/publications/85081016812
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