Reduced Projection Augmented Lagrange Bi-Conjugate Gradient Method for Contact and Impact Problems

LI Nan-sheng; REN Kui-sheng; SHA De-song

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(8): 983-990

LI Nan-sheng, REN Kui-sheng, SHA De-song. Reduced Projection Augmented Lagrange Bi-Conjugate Gradient Method for Contact and Impact Problems[J]. Applied Mathematics and Mechanics, 2007, 28(8): 983-990.

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Reduced Projection Augmented Lagrange Bi-Conjugate Gradient Method for Contact and Impact Problems

1.
School of Civil Engineering, Tongji University, Shanghai 200092, P. R. China;

Received Date: 2006-10-12
Rev Recd Date: 2007-06-07
Publish Date: 2007-08-15

Abstract

Abstract

Based on the numerical governing formulation and non-linear complementary conditions of contact and impact problems,a reduced projection augmented Lagrange bi-conjugate gradient method was proposed for contact and impact problems by translating non-linear complementary conditions into-equivalent formulation of non-linear programming.For contact-impact problems,a larger time-step can be adopted arriving at numerical convergence compared with penalty method.By establishment of the impact-contact formulations which are equivalent with original non-linear complementary conditions,a reduced projection augmented Lagrange bi-conjugate gradient method is deduced to improve precision and efficiency of numerical solutions.A numerical example shows that the algorithm suggested is valid and exact.
- contact and impact problem,
- reduced projection augmented Lagrange bi-conjugate gradient,
- numerical method,

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References(11)

References

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