Recent Research Activity
Background & Work :
Quantification of uncertainty in computational engineering mechanics due to lack or limited information about the input parameters, geometry or configuration is ubiquotous. These might arise due to inherent variability in nature (aleatoric) or due to lack of knowledge (epistemic) about certain parameters. The quantification and propagation of uncertainty is of importance from the perspective of engineering analysis and a spectrum of numerical methods are utilized to this end (such as sampling based Monte Carlo simulations and its variants, polynomial chaos, interval estimation, stochastic collocation, Bayesian metamodeling techniques). Uncertainty propagation is a computationally expensive excercise and is an active area of research. Often, the computational model is supplemented with experimental measurements (usually few in number) which can be utilized to perform Bayesian model calibration and inference of the important parameters.
My research focuses on the investigation into uncertainty quantification, Bayesian model calibration and inference within a multidisciplinary framework of stochastic computational mechanics. This has the potential of wide range of industrial applications where risk and uncertainty analysis is highly important. The prediction of the life cycle of engineering components, analysis of confidence associated with predicted values are key, uncertainty modeling in multiscale computational models of engineering materials (arising from the modeling and quantification of the microstructual properties and their randomness) are of interest to me in my present research.
PhD Work :
The PhD work concentrated on efficient solution techniques of the stochastic physical systems using a reduced order spectral function approach and its comparison with the Galerkin projections of the solution on finite order chaos expansions and various Monte-Carlo sampling techniques. An important part of the work was concerned with the stochastic transient systems and the investigation into efficient numerical algorithms to solve for system response using reduced order modeling techniques.
Research Interest
A list of my active research interests:
| Stochastic Finite Element Analysis | Uncertainty Propagation techniques |
| Uncertainty Quantification | Bayesian Uncertainty Analysis |
| Computational Mechanics | Structural Dynamics |
| Active Control | Vibration and Acoustics |