4. Numerical methods#

4.1. Nonlinear methods#

Newton’s method

  • No adaptive times, event-driven DEFI_LIST_INST

  • Mixed linear research: extension to mechanical, thermal, THM

Alternative to Newton: IMPLEX

  • Robust for softening problems: approximate solutions, dependence on the time step

  • Supports automatic time step management

Large deformations [Miehe*et al.*]

  • Isotropic and kinematic work hardening, anisotropy

  • Any law written in HPP

  • Symmetric matrix, quadratic convergence GDEF_LOG

Mixed formulation \(u\mathrm{-}p\)

  • Incompressibility treatment

*Linear and quadratic elements*_ INCO_UP

4.2. Contact#

New operator dedicated to contact DEFI_CONTACT

  • Data sharing common to all methods

  • Better readability

  • Significant performance gains

New methodological documentation to help the user:

  • U2.04.04 contact user manual