484 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Shandong Academy of SciencesCN58 papers
- Shandong UniversityCN15 papers
- Shandong Normal UniversityCN13 papers
- National University of SingaporeSG9 papers
- University of MacauMO8 papers
- Changchun Institute of TechnologyCN7 papers
- Institute of Oceanographic InstrumentationCN7 papers
- Deakin UniversityAU6 papers
- Shandong University of Finance and EconomicsCN6 papers
- Chinese Academy of SciencesCN5 papers
- Monash UniversityAU5 papers
- Northeast Electric Power UniversityCN5 papers
8 papers · 1 filter
Numerical reconstructions of a source term in a mobile-immobile diffusion model from the partial interior observation
Zhiwei Yang, Yikan Liu
We consider an inverse source problem in the two-time-scale mobile-immobile fractional diffusion model from partial interior observation. Theoretically, we combine the fractional D…
Convergence and supercloseness in a balanced norm of finite element methods on Bakhvalov-type meshes for reaction-diffusion problems
Jin Zhang, Xiaowei Liu
In convergence analysis of finite element methods for singularly perturbed reaction--diffusion problems, balanced norms have been successfully introduced to replace standard energy…
Optimal order of uniform convergence for finite element method on Bakhvalov-type meshes
Jin Zhang, Xiaowei Liu
We propose a new analysis of convergence for a th order () finite element method, which is applied on Bakhvalov-type meshes to a singularly perturbed two-point boundary…
Smallest Eigenvalue of Large Hankel Matrices at Critical Point: Comparing Conjecture With Parallelised Computation
Yang Chen, Jakub Sikorowski, Mengkun Zhu
We propose a novel parallel numerical algorithm for calculating the smallest eigenvalues of highly ill-conditioned matrices. It is based on the {\it LDLT} decomposition and involve…
Estimations of the discrete Green's function of the SDFEM on Shishkin triangular meshes for singularly perturbed problems with characteristic layers
Xiaowei Liu, Jin Zhang
In this technical report, we present estimations of the discrete Green's function of the streamline diffusion finite element method (SDFEM) on Shishkin triangular meshes for singul…
Supercloseness of the SDFEM on Shishkin triangular meshes for problems with exponential layers
Jin Zhang, Xiaowei Liu
In this paper, we analyze the supercloseness property of the streamline diffusion finite element method (SDFEM) on Shishkin triangular meshes, which is different from one in the ca…
Analysis of the SDFEM in a modified streamline diffusion norm for singularly perturbed convection diffusion problems
Jin Zhang, Xiaowei Liu
In this paper we consider a model singularly perturbed convection diffusion problem which is solved by a streamline diffusion finite element method (SDFEM) on a Shishkin rectangula…
Analysis of SDFEM on Shishkin triangular meshes and hybrid meshes for problems with characteristic layers
Jin Zhang, Xiaowei Liu
In this paper, we analyze the streamline diffusion finite element method (SDFEM) for a model singularly perturbed convection-diffusion equation on a Shishkin triangular mesh and hy…