6 papers
A novel energy-conservation Crank-Nicolson finite element method for generalized Klein-Gordon-Zakharov equations
Xuemiao Xu, Maosheng Jiang, Jiansong Zhang +1
This article focuses on an energy-conservation Galerkin finite element method (FEM) for the generalized Klein-Gordon-Zakharov (KGZ) equations. This method combines the bilinear fin…
Numerical simulation of wormhole propagation with the mixed hybridized discontinuous Galerkin finite element method
Jiansong Zhang, Jiang Zhu, Yiming Wang +2
The acid treatment of carbonate reservoirs is a widely employed technique for enhancing the productivity of oil and gas reservoirs. In this paper, we present a novel combined hybri…
Numerical analysis of growth-mediated autochemotactic pattern formation in self-propelling bacteria
Jiansong Zhang, Maosheng Jiang, Jiang Zhu +2
In this paper, a decoupled characteristic Galerkin finite element procedure is provided for simulating growth-mediated autochemotactic pattern formation in self-propelling bacteria…
Hybrid mixed discontinuous Galerkin finite element method for incompressible wormhole propagation problem
Jiansong Zhang, Yun Yu, Jiang Zhu +2
Wormhole propagation plays a very important role in the product enhancement of oil and gas reservoir. A new combined hybrid mixed finite element method is proposed to solve incompr…
Hybrid mixed discontinuous Galerkin finite element method for incompressible miscible displacement problem
Jiansong Zhang, Yun Yu, Jiang Zhu +3
A new hybrid mixed discontinuous Galerkin finite element (HMDGFE) method is constructed for incompressible miscible displacement problem. In this method, the hybrid mixed finite el…
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…