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A new type of full multigrid method for the elasticity eigenvalue problem.
- Source :
- Numerical Methods for Partial Differential Equations; Jan2021, Vol. 37 Issue 1, p444-461, 18p
- Publication Year :
- 2021
-
Abstract
- This paper introduces a new type of full multigrid method for the elasticity eigenvalue problem. The main idea is to avoid solving large scale elasticity eigenvalue problem directly by transforming the solution of the elasticity eigenvalue problem into a series of solutions of linear boundary value problems defined on a multilevel finite element space sequence and some small scale elasticity eigenvalue problems defined on the coarsest correction space. The involved linear boundary value problems will be solved by performing some multigrid iterations. Besides, some efficient techniques such as parallel computing and adaptive mesh refinement can also be absorbed in our algorithm. The efficiency and validity of the multigrid methods are verified by several numerical experiments. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0749159X
- Volume :
- 37
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Numerical Methods for Partial Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 147152493
- Full Text :
- https://doi.org/10.1002/num.22535