8 papers
Optimal block preconditioners for a mass-conserving mixed stress formulation of Stokes flow
Kaibo Hu, Jongho Park, Jindong Wang
We present optimal block diagonal and triangular preconditioners for a mass-conserving mixed stress formulation of Stokes flow. The algebraic formulation leads to a double saddle p…
ReLU Neural de Rham Complexes
Kaibo Hu, Jindong Wang, Jinchao Xu
We construct finite-dimensional de Rham subcomplexes generated by fixed-neuron shallow ReLU neural networks, a class of spaces known to provide optimal approximation rates. For…
A streamline upwind/Petrov-Galerkin method for the magnetic advection-diffusion problem
Haochen Li, Yangfan Luo, Jindong Wang +1
This paper presents the development and analysis of a streamline upwind/Petrov-Galerkin (SUPG) method for the magnetic advection-diffusion problem. A key feature of the method is a…
Local projection stabilization methods for and advection problems
Yangfan Luo, Jindong Wang, Shuonan Wu
We devise local projection stabilization (LPS) methods for advection problems in the (curl) and (div) spaces, employing conforming finite element sp…
A robust solver for H(curl) convection-diffusion and its local Fourier analysis
Jindong Wang, Shuonan Wu
In this paper, we present a robust and efficient multigrid solver based on an exponential-fitting discretization for 2D H(curl) convection-diffusion problems. By leveraging an expo…
Exponentially-fitted finite elements for and convection-diffusion problems
Jindong Wang, Shuonan Wu
This paper presents a novel approach to the construction of the lowest order and exponentially-fitted finite element spaces ${\mathcal{S}_{1^-}…
A hybridizable discontinuous Galerkin method for magnetic advection-diffusion problems
Jindong Wang, Shuonan Wu
We propose and analyze a hybridizable discontinuous Galerkin (HDG) method for solving a mixed magnetic advection-diffusion problem within a more general Friedrichs system framework…
Discontinuous Galerkin methods for magnetic advection-diffusion problems
Jindong Wang, Shuonan Wu
We devise and analyze a class of the primal discontinuous Galerkin methods for the magnetic advection-diffusion problems based on the weighted-residual approach. In addition to the…