26 citations · 41 across the 5 of their papers we have counts for
5 papers
A model reduction method based on nonlinear optimization for multiscale stochastic optimal control problems
Lingling Ma, Jingyi Zhang, Qiuqi Li
This paper proposes a non-intrusive, data-driven reduced-order modeling framework for stochastic optimal control problems governed by partial differential equations. The control pr…
Stochastic Domain Decomposition Based on Variable-Separation Method
Liang Chen, Yaru Chen, Qiuqi Li +1
In this work, we propose a new stochastic domain decomposition method for solving steady-state partial differential equations (PDEs) with random inputs. Based on the efficiency of…
Local-global model reduction method for stochastic optimal control problems constrained by partial differential equations
Lingling Ma, Qiuqi Li, Lijian Jiang
In this paper, a local-global model reduction method is presented to solve stochastic optimal control problems governed by partial differential equations (PDEs). If the optimal con…
A novel variable-separation method based on sparse representation for stochastic partial differential equations
Qiuqi Li, Lijian Jiang
In this paper, we propose a novel variable-separation (NVS) method for generic multivariate functions. The idea of NVS is extended to to obtain the solution in tensor product struc…
Model's sparse representation based on reduced mixed GMsFE basis methods
Lijian Jiang, Qiuqi Li
In this paper, we propose a model's sparse representation based on reduced mixed generalized multiscale finite element (GMsFE) basis methods for elliptic PDEs with random inputs. M…