Research
Research interests:
Inverse problems (PDE-constrained optimization, Bayesian estimation)
Uncertainty quantification and management (risk metrics, probabilistic sensitivity analyses, optimization under uncertainty)
Computational physics (wave propagation and dynamics, fracture mechanics, heat conduction)
Machine learning (including physics-informed machine learning)
Digital twins
Application areas:
Mechanical system operational optimization (enhanced oil recovery, digital twins, power grids)
Structural health monitoring
Manufacturing (real-time sure monitoring, multi-fidelity modeling for additive manufacturing)
Wave energy focusing for enhanced oil recovery
Wave energy focusing in heterogeneous, elastic media
PDE-constrained optimization to arrive at optimal wave source locations, time signals
Quantify uncertainty in wave energy delivery
Non-destructive condition assessment for framed structures
Timoshenko beam model to accurately simulate high-frequency waves
PDE-constrained optimization for material profile reconstruction
Tikhonov (TN) and total-variation (TV) regularization
Regularization factor continuation schemes