219 citations
- Xiangtan UniversityCN21 papers
- Chinese Academy of SciencesCN9 papers
- Hunan Normal UniversityCN9 papers
- University of Chinese Academy of SciencesCN8 papers
- Central South UniversityCN7 papers
- Peking UniversityCN7 papers
- Nanyang Technological UniversitySG5 papers
- Beijing Normal UniversityCN4 papers
- Institute of Theoretical PhysicsCN4 papers
- Jilin UniversityCN4 papers
- Lanzhou UniversityCN4 papers
- Huazhong University of Science and TechnologyCN3 papers
10 papers · 1 filter
Robust space-time multiscale upscaling via multicontinuum homogenization for evolving perforated media
Wei Xie, Viet Ha Hoang, Yin Yang +1
Time-evolving perforated domains arise in many engineering and geoscientific applications, including reactive transport, particle deposition, and structural degradation in porous m…
A hierarchical approach for multicontinuum homogenization in high contrast media
Wei Xie, Viet Ha Hoang, Yin Yang +1
A recently developed upscaling technique, the multicontinuum homogenization method, has gained significant attention for its effectiveness in modeling complex multiscale systems. T…
Solver-in-the-Loop joint operator learning: fractional Laplace-Beltrami features for interface reconstruction
Yangyang Zheng, Huayi Wei, Shuhao Cao +1
In this work, we propose a joint operator learning method for reconstructing images of conductivity coefficients from boundary data. Inspired by the idea of employing partial diffe…
A spatial sixth-order CCD-TVD method for solving multidimensional coupled Burgers' equation
Kejia Pan, Xiaoxin Wu, Xiaoqiang Yue +1
In this paper, an efficient and high-order accuracy finite difference method is proposed for solving multidimensional nonlinear Burgers' equation. The third-order three stage Runge…
Parallel-in-Time with Fully Finite Element Multigrid for 2-D Space-fractional Diffusion Equations
Xiaoqiang Yue, Shi Shu, Xiaowen Xu +2
The paper investigates a non-intrusive parallel time integration with multigrid for space-fractional diffusion equations in two spatial dimensions. We firstly obtain a fully discre…
Uniform convergence of multigrid finite element method for time-dependent Riesz tempered fractional problem
Minghua Chen, Weiping Bu, Wenya Qi +1
In this article a theoretical framework for the Galerkin finite element approximation to the time-dependent Riesz tempered fractional problem is provided without the fractional reg…