2014
A full multigrid method for linear complementarity problems arising from elastic normal contact problems
Publication
Publication
Mathematical Modelling and Analysis , Volume 19 - Issue 2 p. 216- 240
This paper presents a full multigrid (FMG) technique, which combines
a multigrid method, an active set algorithm and a nested iteration technique, to solve
a linear complementarity problem (LCP) modeling elastic normal contact problems.
The governing system in this LCP is derived from a Fredholm integral of the rst
kind, and its coecient matrix is dense, symmetric and positive denite. One multigrid
cycle is applied to solve this system approximately in each active set iteration.
Moreover, this multigrid solver incorporates a special strategy to handle the complementarity
conditions, including restricting both the defect and the contact area
(active set) to the coarse grid, and setting all quantities outside contact to zero.
The smoother is chosen by some analysis based on the eigenvectors of the iteration
matrix. This method is applied to a Hertzian smooth contact and a rough surface
contact problem.
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Mathematical Modelling and Analysis | |
Organisation | Scientific Computing |
Zhao, J., Vollebregt, E., & Oosterlee, K. (2014). A full multigrid method for linear complementarity problems arising from elastic normal contact problems. Mathematical Modelling and Analysis, 19(2), 216–240. |