Prasanth B. Nair - Research Activities

Links Under Construction

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