Publications [#56599] of Tod A Laursen

Papers Published

1. Laursen, T.A. and Maker, B.N., Augmented Lagrangian quasi-newton solver for constrained nonlinear finite element applications, International Journal for Numerical Methods in Engineering, vol. 38 no. 21 (1995), pp. 3571 - 3590
   (last updated on 2007/04/06)

   Abstract:
   A solution scheme is presented for constrained non-linear equations of evolution that result, for example, from the finite element discretization of mechanical contact problems. The algorithm discussed utilizes a quasi-Newton non-linear equation solving strategy, with constraints enforced by an augmented Lagrangian iteration procedure. Through presentation of a simple model problem and its generalization, it is shown that the iteration associated with both the quasi-Newton algorithm and the augmentation procedure can be interwoven to produce a highly efficient and robust solution strategy.

   Keywords:
   Nonlinear equations;Lagrange multipliers;Iterative methods;Finite element method;Nonlinear equations;Constraint theory;