We propose a fast and scalable optimization method to solve chance or probabilistic
constrained optimization problems governed by partial differential equations (PDEs) with …

In this paper, we propose a local–global multiscale method for highly heterogeneous
stochastic groundwater flow problems under the framework of reduced basis method and …

This work presents a hybrid model reduction method to efficiently solve optimal control
problems constrained by stochastic parabolic partial differential equations. By the hybrid …

In this thesis, we study fast and accurate computing with application in groundwater flow
problems. The main component is the generalized multiscale finite element method …