Decision Analytics and Computational Engineering Lab
Research
Computational Stochastic Mechanics
- Stochastic Krylov methods
- Stochastic finite element analysis
- Integration of stochastic projection schemes with deterministic FEA software
- Bayesian Monte Carlo methods
- Algebraic random eigenvalue problems
- Construction of probabilistic shape models from noisy and sparse measurement data
- Stochastic orthogonal decomposition and projection schemes
- Diffusion process in random heterogeneous media
- Stochastic dynamics of turbomachinery blades
- Stochastic component mode synthesis
Design Optimization
- Robust design
- Approximate reanalysis
- Surrogate-assisted evolutionary optimization
- Geometric redesign for passive vibration suppression
- Coevolutionary architectures for distributed design
Meshfree methods for partial differential equations
- Greedy collocation schemes for PDEs
- Radial basis function collocation for linear time-dependant problems
- Bayesian meshfree methods
Machine Learning and Function Approximation
- Greedy learning algorithms
- Automatic tuning of radial basis function shape parameters
- Hermite interpolation with radial basis functions
- Gaussian process modeling
Bioengineering
- Statistical analysis of the influence of arterial geometry parameters on haemodynamics
- Arterial graft and stent design
- Statistical shape and intensity modeling of the human femur and knee using ensemble CT data
- Stochastic finite element analysis of total joint replacements
- Robust design of total hip replacements
- Real-time emulation tools for preclinical decision support