computational methods and
To target Uncertainty Quantification and Optimization Under Uncertainties for Multiphysics and multiscale problems on geometrically complex domains.
Taking advantage of
Develop a scheduling tool to extract parallelism in the MLMC algorithm across samples and levels.
Develop embedded solvers
Develop parallel adaptive refinement methods for
Develop space‐time methods
for the numerical simulation
of multiphysics problems.
Extend the MLMC
to use an adaptively refined space‐time mesh hierarchy.
Combine MLMC methods with gradient‐based optimization techniques based on adjoint problems.
Shape optimization of civil engineering structures subjected to wind flow.