13 citations · 21 across the 11 of their papers we have counts for
6 papers · 1 filter
High order compact schemes for flux type BCs
Zhilin Li, Kejia Pan
In this paper new innovative fourth order compact schemes for Robin and Neumann boundary conditions have been developed for boundary value problems of elliptic PDEs in two and thre…
A simple third order compact finite element method for 1D BVP
Baiying Dong, Zhilin Li
A simple third order compact finite element method is proposed for one-dimensional Sturm-Liouville boundary value problems. The key idea is based on the interpolation error estimat…
Convergence study of IB methods for Stokes equations with no-slip boundary conditions
Zhilin Li, Kejia Pan, Juan Ruiz-Álvarez
Peskin's Immersed Boundary (IB) model and method are among one of the most important modeling tools and numerical methods. The IB method has been known to be first order accurate i…
An immersed - element for Stokes interface problems and the optimal convergence analysis
Haifeng Ji, Feng Wang, Jinru Chen +1
This paper presents and analyzes an immersed finite element (IFE) method for solving Stokes interface problems with a piecewise constant viscosity coefficient that has a jump acros…
Analysis of nonconforming IFE methods and a new scheme for elliptic interface problems
Haifeng Ji, Feng Wang, Jinru Chen +1
In this paper, an important discovery has been found for nonconforming immersed finite element (IFE) methods using the integral values on edges as degrees of freedom for solving el…
A new parameter free partially penalized immersed finite element and the optimal convergence analysis
Haifeng Ji, Feng Wang, Jinru Chen +1
This paper presents a new parameter free partially penalized immersed finite element method and convergence analysis for solving second order elliptic interface problems. A lifting…