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✦   LIBER   ✦

A GENERALIZED NEWTON METHOD FOR HIGHER-ORDER FINITE ELEMENT APPROXIMATIONS IN NON-LINEAR ELASTICITY

✍ Scribed by P. PAPADOPOULOS; R. L. TAYLOR

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
695 KB
Volume
39
Category
Article
ISSN
0029-5981

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✦ Synopsis

A generalized Newton method is proposed in conjunction with a higher-order Lagrangian finite element discretization of bodies undergoing finite elastic deformations. The method is based on a gradient-like modification of the Newton method, designed to suppress the sensitivity of higher-order elements during the early iterations, thus allowing for solutions to be obtained using moderately large step-sizes.

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