A comparison of solvers for linear complementarity problems arising from large-scale masonry structures

Ainsworth, Mark and Mihai, Loredana Angela ORCID: https://orcid.org/0000-0003-0863-3729 2006. A comparison of solvers for linear complementarity problems arising from large-scale masonry structures. Applications of Mathematics 51 (2) , pp. 93-128. 10.1007/s10492-006-0008-8

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Abstract

We compare the numerical performance of several methods for solving the discrete contact problem arising from the finite element discretisation of elastic systems with numerous contact points. The problem is formulated as a variational inequality and discretised using piecewise quadratic finite elements on a triangulation of the domain. At the discrete level, the variational inequality is reformulated as a classical linear complementarity system. We compare several state-of-art algorithms that have been advocated for such problems. Computational tests illustrate the use of these methods for a large collection of elastic bodies, such as a simplified bidimensional wall made of bricks or stone blocks, deformed under volume and surface forces.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	linear elasticity - equilibrium problems - variational inequality - complementarity problems - masonry structures
Publisher:	Springer
ISSN:	0862-7940
Last Modified:	18 Oct 2022 12:43
URI:	https://orca.cardiff.ac.uk/id/eprint/11002

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