3 papers
math.NA2025
A boundary-corrected weak Galerkin mixed finite method for elliptic interface problems with curved interfaces
Yongli Hou, Yi Liu, Yanqiu Wang
We propose a boundary-corrected weak Galerkin mixed finite element method for solving elliptic interface problems in 2D domains with curved interfaces. The method is formulated on…
math.NA2024
An arbitrary order mixed finite element method with boundary value correction for the Darcy flow on curved domains
Yongli Hou, Yanqiu Wang
We propose a boundary value correction method for the Brezzi-Douglas-Marini mixed finite element discretization of the Darcy flow with non-homogeneous Neumann boundary condition on…
math.NA2024
High-order primal mixed finite element method for boundary-value correction on curved domain
Yongli Hou, Yi Liu, Tengjin Zhao
This paper addresses the non-homogeneous Neumann boundary condition on domains with curved boundaries. We consider the Raviart-Thomas element (RTk ) of degree on triangu…