.rst .pdf

Documented demos

• Obstacle problem
  • Implementation
• Cheeger problems
  • Dual problem
  • Implementation
• Three-dimensional limit analysis problem using Semi-Definite Programming
  • Problem formulation
  • Conic reformulation
  • Implementation
  • References
• Mixed 1D/2D modelling of a reinforced slope stability
  • Mixed modelling approach
  • Implementation
• Elastoplasticity with exponential isotropic hardening
  • Free-energy and dissipation potential
  • Incremental pseudo-potential
  • Conic reformulation and implementation
  • Numerical illustration
  • References
• Hele-Shaw flow of a viscoplastic fluid
  • Hele-Shaw problem
  • Determining effective potentials
  • The Bingham case and its conic representation
  • FEniCS implementation
  • Flow in a random medium
  • References
• Nonlinear tension-field elastic membrane
  • Contents
  • Hyperelastic membrane
  • Tension-field elastic membrane formulation
  • Conic reformulation
  • Ogden-type hyperelastic materials
  • Surfaces embedded in \(\mathbb{R}^3\)
  • Implementation
  • Acknowledgements
  • References
• Minimal crack surfaces
  • A min-cut problem
  • The dual max-flow problem
  • Illustrating example
  • References

fenics_optim – Convex optimization interface in FEniCS Obstacle problem