36 citations · 101 across the 18 of their papers we have counts for
5 papers · 1 filter
A Third-order Conservative Semi-Lagrangian Discontinuous Galerkin Scheme For the Transport Equation on Curvilinear Unstructured Meshes
Xiaofeng Cai, Yibing Chen, Kunkai Fu +1
We develop a third-order conservative semi-Lagrangian discontinuous Galerkin (SLDG) scheme for solving linear transport equations on curvilinear unstructured triangular meshes, tai…
Asymptotic-preserving conservative semi-Lagrangian discontinuous Galerkin schemes for the Vlasov-Poisson system in the quasi-neutral limit
Xiaofeng Cai, Linghui Kong, Dmitri Kuzmin +1
We discretize the Vlasov-Poisson system using conservative semi-Lagrangian (CSL) discontinuous Galerkin (DG) schemes that are asymptotic preserving (AP) in the quasi-neutral limit.…
Asymptotic-preserving semi-Lagrangian discontinuous Galerkin schemes for the Boltzmann equation
Xiaofeng Cai, Zhen Hao, Liu Liu +1
In this work, we present an asymptotic-preserving semi-Lagrangian discontinuous Galerkin scheme for the Boltzmann equation that effectively handles multi-scale transport phenomena.…
A high-order energy-conserving semi-Lagrangian discontinuous Galerkin method for the Vlasov-Ampere system
Xiaofeng Cai, Qingtao Li, Hongtao Liu +1
In this paper, we propose a high-order energy-conserving semi-Lagrangian discontinuous Galerkin(ECSLDG) method for the Vlasov-Ampere system. The method employs a semi-Lagrangian di…
The positivity-preserving high-order semi-Lagrangian spectral volume method for Vlasov-Poisson equations
Xinyue Zhang, Xiaofeng Cai, Waixiang Cao
In this paper, a novel high order semi-Lagrangian (SL) spectral volume (SV) method is proposed and studied for nonlinear Vlasov-Poisson (VP) simulations via operator splitting. The…