197 citations
- Academy of Mathematics and Systems ScienceCN106 papers
- Chinese Academy of SciencesCN96 papers
- University of Chinese Academy of SciencesCN35 papers
- Institute of Modern PhysicsCN6 papers
- Institute of PhysicsPL6 papers
- Northwest UniversityCN6 papers
- Peking UniversityCN6 papers
- Capital Normal UniversityCN5 papers
- Collaborative Innovation Center of Quantum MatterCN5 papers
- Southern University of Science and TechnologyCN5 papers
- University of HoustonUS5 papers
- RWTH Aachen UniversityDE4 papers
40 papers · 1 filter
Optimal convergence in finite element semi-discrete error analysis of the Doyle-Fuller-Newman model beyond 1D with a novel projection operator
Shu Xu, Liqun Cao
We present a finite element semi-discrete error analysis for the Doyle-Fuller-Newman model, which is the most popular model for lithium-ion batteries. Central to our approach is a…
Energetic Spectral-Element Time Marching Methods for Phase-Field Nonlinear Gradient Systems
Shiqin Liu, Haijun Yu
We propose two efficient energetic spectral-element methods in time for marching nonlinear gradient systems with the phase-field Allen--Cahn equation as an example: one fully impli…
Improved Laguerre Spectral Methods with Less Round-off Errors and Better Stability
Shenghe Huang, Haijun Yu
Laguerre polynomials are orthogonal polynomials defined on positive half line with respect to weight . They have wide applications in scientific and engineering computation…
An Improved Multi-Stage Preconditioner on GPUs for Compositional Reservoir Simulation
Li Zhao, Chen-Song Zhang, Chun-Sheng Feng +1
The compositional model is often used to describe multicomponent multiphase porous media flows in the petroleum industry. The fully implicit method with strong stability and weak c…
A New Global Divergence Free and Pressure-Robust HDG Method for Tangential Boundary Control of Stokes Equations
Gang Chen, Wei Gong, Mariano Mateos +2
In [ESAIM: M2AN, 54(2020), 2229-2264], we proposed an HDG method to approximate the solution of a tangential boundary control problem for the Stokes equations and obtained an optim…
Positive definiteness of real quadratic forms resulting from the variable-step approximation of convolution operators
Hong-lin Liao, Tao Tang, Tao Zhou
The positive definiteness of real quadratic forms with convolution structures plays an important role in stability analysis for time-stepping schemes for nonlocal operators.In this…