Abstract
We consider a general framework for analysing the convergence of multi-grid solvers applied to finite element discretisations of mixed problems, both of conforming and nonconforming type. As a basic new feature, our approach allows to use different finite element discretisations on each level of the multi-grid hierarchy. Thus, in our multi-level approach, accurate higher order finite element discretisations can be combined with fast multi-level solvers based on lower order (nonconforming) finite element discretisations. This leads to the design of efficient multi-level solvers for higher order finite element discretisations.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Additional information
Received May 17, 2001; revised February 2, 2002 Published online April 25, 2002
Rights and permissions
About this article
Cite this article
John, V., Knobloch, P., Matthies, G. et al. Non-Nested Multi-Level Solvers for Finite Element Discretisations of Mixed Problems. Computing 68, 313–341 (2002). https://doi.org/10.1007/s00607-002-1444-2
Issue Date:
DOI: https://doi.org/10.1007/s00607-002-1444-2