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
Nonconforming virtual element method for general second-order elliptic problems on curved domain
Yi Liu, Alessandro Russo
This paper introduces a nonconforming virtual element method for general second-order elliptic problems with variable coefficients on domains with curved boundaries and curved inte…
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…