5 papers
A unifying framework for quantum algorithms for time-dependent non-unitary dynamics
Xiaojing Dong, Yizhe Peng, Yue Yu
Quantum algorithms for simulating linear differential equations have attracted growing interest, driven by applications ranging from Hamiltonian dynamics to general non-unitary dyn…
The grad-div conforming virtual element method for the quad-div problem in three dimensions
Xiaojing Dong, Yibing Han, Yunqing Huang
We propose a new stable variational formulation for the quad-div problem in three dimensions and prove its well-posedness. Using this weak form, we develop and analyze the $\boldsy…
A grad-curl conforming virtual element method for a grad-curl problem linking the 3D quad-curl problem and Stokes system
Xiaojing Dong, Yibing Han, Yunqing Huang
Based on the Stokes complex with vanishing boundary conditions and its dual complex, we reinterpret a grad-curl problem arising from the quad-curl problem as a new vector potential…
A virtual element method with IMEX-SAV scheme for the incompressible magnetohydrodynamics equations
Xiaojing Dong, Yunqing Huang, Tianwen Wang
This paper proposes a virtual element method (VEM) combined with a second-order implicit-explicit scheme based on the scalar auxiliary variable (SAV) method for the incompressible…
Conservative nonconforming virtual element method for stationary incompressible magnetohydrodynamics
Xiaojing Dong, Yunqing Huang, Tianwen Wang
In this paper, we propose a conservative nonconforming virtual element method for the full stationary incompressible magnetohydrodynamics model. We leverage the virtual element sat…