324 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Chinese Academy of SciencesCN20 papers
- Peking UniversityCN14 papers
- University of Chinese Academy of SciencesCN12 papers
- Collaborative Innovation Center of Quantum MatterCN10 papers
- Beijing Normal UniversityCN9 papers
- Tsinghua UniversityCN8 papers
- Capital Normal UniversityCN7 papers
- North China Electric Power UniversityCN7 papers
- Renmin University of ChinaCN7 papers
- China University of Petroleum, East ChinaCN6 papers
- Max Planck Institute for Mathematics in the SciencesDE6 papers
- State Key Laboratory of Heavy OilCN6 papers
7 papers · 1 filter
An analysis of the Rayleigh-Ritz and refined Rayleigh-Ritz methods for regular nonlinear eigenvalue problems
Zhongxiao Jia, Qingqing Zheng
We establish a general convergence theory of the Rayleigh--Ritz method and the refined Rayleigh--Ritz method for computing some simple eigenpair of a given analytic…
RAR-PINN algorithm for the data-driven vector-soliton solutions and parameter discovery of coupled nonlinear equations
Shu-Mei Qin, Min Li, Tao Xu +1
This work aims to provide an effective deep learning framework to predict the vector-soliton solutions of the coupled nonlinear equations and their interactions. The method we prop…
An optimal convergence analysis of the hybrid Raviart-Thomas mixed discontinuous Galerkin method for the Helmholtz equation
Jiansong Zhang, Jiang Zhu
The hybrid Raviart-Thomas mixed discontinuous Galerkin (HRTMDG) method is proposed for solving the Helmholtz equation. With a new energy norm, we establish the existence and unique…
A comparison of mixed multiscale finite element methods for multiphase transport in highly heterogeneous media
Yiran Wang, Eric Chung, Shubin Fu
In this paper, we systemically review and compare two mixed multiscale finite element methods (MMsFEM) for multiphase transport in highly heterogeneous media. In particular, we wil…
On the unique solution of the generalized absolute value equation
Shi-Liang Wu, Shu-Qian Shen
In this paper, some useful necessary and sufficient conditions for the unique solution of the generalized absolute value equation (GAVE) with $A, B\in \mathbb{R}^{n\tim…
Moving mesh finite element simulation for phase-field modeling of brittle fracture and convergence of newton's iteration
Fei Zhang, Weizhang Huang, Xianping Li +1
A moving mesh finite element method is studied for the numerical solution of a phase-field model for brittle fracture. The moving mesh partial differential equation approach is emp…
On Galerkin Approximations for the Zakai Equation with Diffusive and Point Process Observations
Rüdiger Frey, Thorsten Schmidt, Ling Xu
This paper studies Galerkin approximations applied to the Zakai equation of stochastic filtering. The basic idea of this approach is to project the infinite-dimensional Zakai equat…