Surrogate Duality Based Method for Contact Problems
We present a numerical method based on surrogate duality to solve contact problems in elasticity. The primal optimization problem arising from the contact problem is converted to a corresponding dual problem using surrogate duality. An explicit dual formulation for the surrogate dual problem is obta...
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| Veröffentlicht in: | Optimization and engineering 2004-03, Vol.5 (1), p.59-75 |
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| container_title | Optimization and engineering |
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| creator | Xuan, Zhao Cheng Lee, Kwok Hong |
| description | We present a numerical method based on surrogate duality to solve contact problems in elasticity. The primal optimization problem arising from the contact problem is converted to a corresponding dual problem using surrogate duality. An explicit dual formulation for the surrogate dual problem is obtained on some certain conditions, and a Karmarkar's interior point based method is introduced to solve the explicit surrogate dual problem. Numerical examples including some quadratic programming problems with dense matrices and one elastic contact problem are solved using the present method to show its feasibility and efficiency.[PUBLICATION ABSTRACT] |
| doi_str_mv | 10.1023/B:OPTE.0000013635.51049.96 |
| format | Article |
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| ispartof | Optimization and engineering, 2004-03, Vol.5 (1), p.59-75 |
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| language | eng |
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| source | SpringerNature Journals |
| subjects | Algorithms Contact Contact problems Feasibility Mathematical analysis Mathematical models Matrices Numerical analysis Optimization Quadratic programming Studies |
| title | Surrogate Duality Based Method for Contact Problems |
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