3 papers
math.NA2025
Fourth-Order Compact FDMs for Steady and Time-Dependent Nonlinear Convection-Diffusion Equations
Qiwei Feng, Catalin Trenchea
In this paper, we discuss the steady and time-dependent nonlinear convection-diffusion (advection-diffusion) equations with the Dirichlet boundary condition. For the steady nonline…
math.NA2025
A High-Order, Pressure-Robust, and Decoupled Finite Difference Method for the Stokes Problem
Qiwei Feng, Bin Han, Michael Neilan
In this paper, we consider the Stokes problem with Dirichlet boundary conditions and the constant kinematic viscosity in an axis-aligned domain . We decouple the velocity $\…
math.NA2025
The convergence proof of the sixth-order compact 9-point FDM for the 2D transport problem
Qiwei Feng
It is widely acknowledged that the convergence proof of the error in the norm of the high-order finite difference method (FDM) and finite element method (FEM) in 2D is…