2 papers
math.NA2026
The effect of numerical integration in the FEM for elliptic problems with mixed boundary conditions
Juan Han, Haijun Wu
This paper investigates the impact of quadrature accuracy for volume and face integrals in the finite element method using -th order polynomial shape functions for elliptic prob…
math.NA2025
An Unfitted Interface Penalty DG--FE Method for Elliptic Interface Problems
Juan Han, Haijun Wu, Yuanming Xiao
We propose an unfitted interface penalty Discontinuous Galerkin-Finite Element Method (UIPDG-FEM) for elliptic interface problems. This hybrid method combines the interior penalty…