Non-Nested Multi-Level Solvers for Finite Element Discretisations of Mixed Problems

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. AMS Subject Classifications: 65N55, 65N30, 76D07.

• Type: Journal
• Year: 2002
• Where: COMPUTING
• Authors: V. John, P. Knobloch, Gunar Matthies, Lutz Tobiska
• Keywords: COMPUTING 2002, Efficient Multi-level Solvers, Element Discretisations, Multi-level Solvers