1.6k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Chinese Academy of SciencesCN196 papers
- Beijing Normal UniversityCN148 papers
- University of Science and Technology of ChinaCN128 papers
- Lanzhou UniversityCN95 papers
- Zhejiang UniversityCN90 papers
- Tsinghua UniversityCN76 papers
- University of LisbonPT75 papers
- Centre National de la Recherche ScientifiqueFR74 papers
- University of Chinese Academy of SciencesCN73 papers
- Institute of PhysicsPL66 papers
- Institute of Theoretical PhysicsCN65 papers
- China Academy of Engineering PhysicsCN63 papers
8 papers · 2 filters
Mathematical and numerical analysis of time-dependent Ginzburg--Landau equations in nonconvex polygons based on Hodge decomposition
Buyang Li, Zhimin Zhang
We prove well-posedness of time-dependent Ginzburg--Landau system in a nonconvex polygonal domain, and decompose the solution as a regular part plus a singular part. We see that th…
Hessian Recovery for Finite Element Methods
Hailong Guo, Zhimin Zhang, Ren Zhao
In this article, we propose and analyze an effective Hessian recovery strategy for the Lagrangian finite element of arbitrary order . We prove that the proposed Hessian recovery…
On a superconvergent lattice Boltzmann boundary scheme
François Dubois, Pierre Lallemand, Mohamed Mahdi Tekitek
In a seminal paper Ginzburg and Adler analyzed the bounce-back boundary conditions for the lattice Boltzmann scheme and showed that it could be made exact to second order for the P…
Superconvergent Two-grid Methods For Elliptic Eigenvalue Problems
Hailong Guo, Zhimin Zhang, Ren Zhao
Some numerical algorithms for elliptic eigenvalue problems are proposed, analyzed, and numerically tested. The methods combine advantages of the two-grid algorithm, two-space metho…
Superconvergence of Local Discontinuous Galerkin method for one-dimensional linear parabolic equations
Waixiang Cao, Zhimin Zhang
In this paper, we study superconvergence properties of the local discontinuous Galerkin method for one-dimensional linear parabolic equations when alternating fluxes are used. We p…
Is -Conjecture valid for finite volume methods?
Waixiang Cao, Zhimin Zhang, Qingsong Zou
This paper is concerned with superconvergence properties of a class of finite volume methods of arbitrary order over rectangular meshes. Our main result is to prove {\it 2k-conject…
A matched alternating direction implicit (ADI) method for solving the heat equation with interfaces
Shan Zhao
A novel Douglas alternating direction implicit (ADI) method is proposed in this work to solve a two-dimensional (2D) heat equation with interfaces. The ADI scheme is a powerful fin…
Comparison of Simulations of Convective Flows
Pierre Lallemand, François Dubois
We show that a single particle distribution for the D2Q13 lattice Boltzmann scheme can simulate coupled effects involving advection and diffusion of velocity and temperature. We co…