Applications of XFEM/GFEM to practical engineering problems
C. Armando Duarte (University of Illinois at Urbana-Champaign, USA)
Haim Waisman (Columbia University, USA)
Angelo Simone (TU Delft, the Netherlands)
The aim of this minisymposium is to provide a forum for discussing the recent developments in extended/generalized finite element methods applied to important engineering problems and to discuss their advantages over traditional discretization methods. Under this theme, topics of interest include, but are not limited to:
- XFEM/GFEM techniques for modeling cracks and discontinuities in solid mechanics and in particular modeling the propagation of cracks (e.g. hydraulic fracture, delamination of composite materials, cohesive or inelastic materials, fatigue problems)
- XFEM/GFEM techniques applied to moving boundary problems (e.g. modeling corrosion, phase transformations and solids within fluids)
- XFEM/GFEM techniques applied to inverse type problems (e.g. detection of flaws, topology optimization and parameters estimation)
- XFEM/GFEM applied to stochastic mechanics and multiscale problems (e.g. coupling XFEM/GFEM with Monte Carlo type methods)
- XFEM/GFEM techniques applied to multiphysics problems (e.g. thermo-mechanical, electro-mechanical and chemo-mechanical problems)
- Techniques developed to improve the solution and conditioning of XFEM/GFEM methods when applied to large scale problems (e.g. multigrid methods, domain decomposition and preconditioning schemes, iterative methods and parallel implementations)
