Multigrid has been a popular solver method for finite element and finite difference problems with regular grids for over 20 years. The application of multigrid to unstructured problems is, however, not well understood and has been an active area of research in recent years. The two most promising categories of unstructured multigrid methods are 1) "geometric" methods that use standard finite element coarse grid function spaces, and 2) rigid body mode based coarse grid space "algebraic" methods. This paper evaluates the effectiveness of three promising multigrid methods (one geometric and two rigid body mode algebraic) on several unstructured problems in 3D elasticity with up to 76 million degrees of freedom.
Title
Evaluation of Three Unstructured Multigrid Methods on 3D Finite Element Problems in Solid Mechanics
Published
2000-05-01
Full Collection Name
Electrical Engineering & Computer Sciences Technical Reports
Other Identifiers
CSD-00-1103
Type
Text
Extent
23 p
Archive
The Engineering Library
Usage Statement
Researchers may make free and open use of the UC Berkeley Library’s digitized public domain materials. However, some materials in our online collections may be protected by U.S. copyright law (Title 17, U.S.C.). Use or reproduction of materials protected by copyright beyond that allowed by fair use (Title 17, U.S.C. § 107) requires permission from the copyright owners. The use or reproduction of some materials may also be restricted by terms of University of California gift or purchase agreements, privacy and publicity rights, or trademark law. Responsibility for determining rights status and permissibility of any use or reproduction rests exclusively with the researcher. To learn more or make inquiries, please see our permissions policies (https://www.lib.berkeley.edu/about/permissions-policies).
