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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.NA2024
Adaptive Finite Element Method for a Nonlinear Helmholtz Equation with High Wave Number
Run Jiang, Haijun Wu, Yifeng Xu +1
A nonlinear Helmholtz (NLH) equation with high frequencies and corner singularities is discretized by the linear finite element method (FEM). After deriving some wave-number-explic…