Object-oriented finite elements. IV. Symbolic derivations and automatic programming of nonlinear formulations

摘要

In previous papers [Comput. Methods Appl. Mech. Eng. 132 (1996) 277-304, 259-276;154(1998) 41-68], the authors have presented the main ideas, which have led to the creation of an environment for symbolic derivations of variational problems and automatic programming of finite elements codes. In these papers, only linear formulations were treated, e.g., Galerkin formulation for elasto- dynamics [Adv. Eng. Sof. 27 (1996) 3-10] or Galerkin least-squares (GLS) formulation of Stokes flow problem.