3 papers
math.NA2025
Robust globally divergence-free HDG finite element method for steady thermally coupled incompressible MHD flow
Min Zhang, Zimo Zhu, Qijia Zhai +1
This paper develops an hybridizable discontinuous Galerkin (HDG) finite element method of arbitrary order for the steady thermally coupled incompressible Magnetohydrodynamics (MHD)…
math.NA2022
Semi-discrete and fully discrete weak Galerkin finite element methods for a quasistatic Maxwell viscoelastic model
Jihong Xiao, Zimo Zhu, Xiaoping Xie
This paper considers weak Galerkin finite element approximations for a quasistatic Maxwell viscoelastic model. The spatial discretization uses piecewise polynomials of degree $k \…
math.NA2021
Semi-discrete and fully discrete HDG methods for Burgers' equation
Zimo Zhu, Gang Chen, Xiaoping Xie
This paper proposes semi-discrete and fully discrete hybridizable discontinuous Galerkin (HDG) methods for the Burgers' equation in two and three dimensions. In the spatial discret…