3 papers
math.NA2026
Parametric charge-conservative mixed finite element method for 3D incompressible inductionless MHD equations on curved domains
Xue Jiang, Lei Li, Lingxiao Li
This paper develops a charge-conservative mixed finite element method with optimal convergence rates for the stationary incompressible inductionless MHD equations on three-dimensio…
math.NA2026
Optimal error estimate of an isoparametric upwind discontinuous Galerkin method for radiation transport equation on curved domains
Changhui Yao, Yunpan Ma, Lingxiao Li
In recent years, high-order finite element methods on high-order meshes have attracted considerable attention. This work investigates the isoparametric upwind discontinuous Galerki…
math.NA2025
A divergence-free parametric finite element method for 3D Stokes equations on curved domains
Lingxiao Li, Haiyan Su, He Zhang +1
The Stokes equations play an important role in the incompressible flow simulation. In this paper, a novel divergence-free parametric mixed finite element method is proposed for sol…