Course outline
The course is organized into the following topics:
- Spatial multiscale methods
- Information-passing spatial multiscale approaches
- Homogenization for linear and nonlinear problems
- Implementation of homogenization in commercial software
- Estimation of homogenization errors
- Applications in material design, aerospace and automotive industries
- Reduced order homogenization
- Experimental validation, verification and calibration of various homogenization methods
- Dual purpose spatial scale methods
- Multiscale Enrichment based on Partition of Unity
- Quasicontinuum method
- Concurrent Spatial Multiscale Approaches
- Domain Decomposition based methods
- Current practices (submodeling, global-local)
- Overlapping domains methods
- Disjoint domains methods
- Discrete-to-continuum bridging: applications in nanotechnology
- Superposition based methods (coexisting domains)
- The s-version of the finite element method
- PUM, GFEM, XFEM, enriched elements
- Composite grid methods
- Multilevel based method
- Temporal multiscale methods
- Information-passing temporal multiscale approaches
- Temporal Homogenization: application to fatigue life predictions
- Generalized Mathematical Homogenization: applications to nanotechnology
- Constrained dynamics
- Equation-Free Method
- Langevin framework
- Kinetic Monte-Carlo
- Concurrent Temporal Multiscale Approaches
- Space-time multilevel methods
- Multiple Timestep (MTS) Methods
- Subcycling Methods
For additional information
For answers to questions not addressed here, please feel free to send e-mail to multiscale@feos.biz. Thank you.