Browsing by Advisor "Ghosh, Debraj"
Now showing items 1-9 of 9
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Adaptive reduced order modeling of dynamical systems through novel a posteriori error estimators : Application to uncertainty quantification
Multi-query problems such as uncertainty quantification, optimization of a dynamical system require solving a governing differential equation at multiple parameter values. Therefore, for large systems, the computational ... -
Computational analysis of polymer nanocomposites across length scales
Polymer nanocomposites (PNC) exhibit excellent mechanical properties making them a promising material for several engineering applications. The enhancement in properties is primarily attributed to the toughening and ... -
Computational Studies on the Mechanics of Nanotubes and Nanocomposites
(2018-01-09)The discovery of carbon nanotubes (CNTs) in 1991 by Iijima revealed the possibility of ultra-strong materials exploiting the properties of materials at smaller length scales. The superior strength, stiffness, and ability ... -
Development of an efficient domain decomposition algorithm for solving large stochastic mechanics problems
With the growth of computational resources available, demand on the accuracy and speed of simulation is steeply increasing. Accordingly, accounting for the variabilities in the simulations plays a pivotal role in taking ... -
Methods on Probabilistic Structural Vibration using Stochastic Finite Element Framework
(2018-02-07)Analysis of vibration of systems with uncertainty in material properties under the influence of a random forcing function is an active area of research. Especially the characterization based on mode shapes and frequencies ... -
Non-intrusive reduced order modeling of dynamical systems with large stochastic dimensions
The work done in this thesis falls under the broad category of computational mechanics. This thesis addresses the computational challenge of high-dimensional regression and interpolation within the framework of a proper ... -
Numerical Methods For Solving The Eigenvalue Problem Involved In The Karhunen-Loeve Decomposition
(2014-05-05)In structural analysis and design it is important to consider the effects of uncertainties in loading and material properties in a rational way. Uncertainty in material properties such as heterogeneity in elastic and mass ... -
Parallel methods to solve large-scale stochastic linear and nonlinear mechanics problems in a domain decomposition framework
Parallel methods to solve large-scale stochastic linear and nonlinear mechanics problems in a domain decomposition framework Mechanics problems with inherent uncertainties are mathematically modeled using stochastic partial ... -
Uncertainty Quantification in Flow and Flow Induced Structural Response
(2018-07-23)Response of flexible structures — such as cable-supported bridges and aircraft wings — is associated with a number of uncertainties in structural and flow parameters. This thesis is aimed at efficient uncertainty quantification ...