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Numerical methods for constrained optimization in 2D and 3D biomechanics

✍ Scribed by J. Nedoma; M. Bartoš; Z. Kestřánek; Z. Kestřánek; Jr.; J. Stehlík

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
363 KB
Volume
6
Category
Article
ISSN
1070-5325

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✦ Synopsis

This paper formulates, analyses and discusses 2D and 3D static and dynamic model problems in the orthopaedic practice. Finite element approximations, algorithms and iterative methods for constrained optimization are discussed. Since the conjugate gradient method is one of the most effective methods for both unconstrained and constrained optimization, it can be applied without or with preconditioning for solving the basic step of the discretized problem. A comparison of several preconditioned conjugate gradient methods is discussed. The problems discussed are applied to analyses of real patients. Finally, the numerical results are discussed.

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