26 citations · 99 across the 26 of their papers we have counts for
4 papers · 1 filter
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…
A dimension reduction method with applications for coefficient inversion of diffusion equations
Fuchen Chen, Lijian Jiang, Guanghui Zheng
In this paper, we present a dimension reduction method to reduce the dimension of parameter space and state space and efficiently solve inverse problems. To this end, proper orthog…
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…
Multiscale model reduction method for Bayesian inverse problems of subsurface flow
Lijian Jiang, Na Ou
This work presents a model reduction approach to the inverse problem in the application of subsurface flows. For the Bayesian inverse problem, the forward model needs to be repeate…