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

Mark Ainsworth; L. Angela Mihai

Applications of Mathematics (2006)

- Volume: 51, Issue: 2, page 93-128
- ISSN: 0862-7940

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topAinsworth, Mark, and Mihai, L. Angela. "A comparison of solvers for linear complementarity problems arising from large-scale masonry structures." Applications of Mathematics 51.2 (2006): 93-128. <http://eudml.org/doc/33247>.

@article{Ainsworth2006,

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.},

author = {Ainsworth, Mark, Mihai, L. Angela},

journal = {Applications of Mathematics},

keywords = {linear elasticity; equilibrium problems; variational inequality; complementarity problems; masonry structures; linear elasticity; equilibrium problems; variational inequality; complementarity problems; masonry structures},

language = {eng},

number = {2},

pages = {93-128},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {A comparison of solvers for linear complementarity problems arising from large-scale masonry structures},

url = {http://eudml.org/doc/33247},

volume = {51},

year = {2006},

}

TY - JOUR

AU - Ainsworth, Mark

AU - Mihai, L. Angela

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

JO - Applications of Mathematics

PY - 2006

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 51

IS - 2

SP - 93

EP - 128

AB - 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.

LA - eng

KW - linear elasticity; equilibrium problems; variational inequality; complementarity problems; masonry structures; linear elasticity; equilibrium problems; variational inequality; complementarity problems; masonry structures

UR - http://eudml.org/doc/33247

ER -

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