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CAI Xiaofeng
8
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Semi-Lagrangian
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Discontinuous Galerkin
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Guiding center Vlasov model
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Comparison of Semi-Lagrangian Discontinuous Galerkin Schemes for Linear and Nonlinear Transport Simulations
Journal article
Communications on Applied Mathematics and Computation,2022, volume: 4, issue: 1, pages: 3–33
Authors:
Cai, Xiaofeng
;
Guo, Wei
;
Qiu, Jing-Mei
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View/Download:8/0
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Submit date:2022/05/10
Semi-Lagrangian (SL)
Transport simulations
Splitting
Non-splitting
Comparison
Discontinuous Galerkin (DG)
EULERIAN-LAGRANGIAN RUNGE-KUTTA DISCONTINUOUS GALERKIN METHOD FOR TRANSPORT SIMULATIONS ON UNSTRUCTURED MESHES
Journal article
SIAM Journal on Scientific Computing,2022, volume: 44, issue: 4, pages: A2037-A2060
Authors:
Cai, Xiaofeng
;
Qiu, Jing Mei
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Submit date:2024/06/24
characteristics
discontinuous Galerkin
Eulerian-Lagrangian
mass conservation
semi-Lagrangian
unstructured triangular meshes
An Eulerian-Lagrangian discontinuous Galerkin method for transport problems and its application to nonlinear dynamics
Journal article
Journal of Computational Physics,2021, volume: 439
Authors:
Cai, Xiaofeng
;
Qiu, Jing-Mei
;
Yang, Yang
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Submit date:2022/05/10
Characteristics
Discontinuous Galerkin
Eulerian-Lagrangian
Mass conservative
Semi-Lagrangian
Vlasov simulations
High order semi-Lagrangian discontinuous Galerkin method coupled with Runge-Kutta exponential integrators for nonlinear Vlasov dynamics
Journal article
Journal of Computational Physics,2021, volume: 427
Authors:
Cai, Xiaofeng
;
Boscarino, Sebastiano
;
Qiu, Jing-Mei
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View/Download:10/0
  |  
Submit date:2022/05/10
Discontinuous Galerkin
Guiding center Vlasov model
Mass conservative
Runge-Kutta exponential integrators
Semi-Lagrangian
Vlasov-Poisson
A semi-Lagrangian discontinuous Galerkin (DG) – local DG method for solving convection-diffusion equations
Journal article
Journal of Computational Physics,2020, volume: 409
Authors:
Ding, Mingchang
;
Cai, Xiaofeng
;
Guo, Wei
;
Qiu, Jing-Mei
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View/Download:8/0
  |  
Submit date:2022/05/10
Convection-diffusion equation
Discontinuous Galerkin (DG) method
Implicit Runge-Kutta method
Local DG method
Semi-Lagrangian
Stability analysis
A High Order Semi-Lagrangian Discontinuous Galerkin Method for the Two-Dimensional Incompressible Euler Equations and the Guiding Center Vlasov Model Without Operator Splitting
Journal article
Journal of Scientific Computing,2019, volume: 79, issue: 2, pages: 1111-1134
Authors:
Cai, Xiaofeng
;
Guo, Wei
;
Qiu, Jing-Mei
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  |  
View/Download:11/0
  |  
Submit date:2022/05/10
Adaptive time-stepping method
Discontinuous Galerkin
Guiding center Vlasov model
Incompressible Euler equations
Mass conservative
Non-splitting
Semi-Lagrangian
A high order semi-Lagrangian discontinuous Galerkin method for Vlasov–Poisson simulations without operator splitting
Journal article
Journal of Computational Physics,2018, volume: 354, pages: 529-551
Authors:
Cai, Xiaofeng
;
Guo, Wei
;
Qiu, Jing-Mei
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View/Download:9/0
  |  
Submit date:2022/05/10
Discontinuous Galerkin
Mass conservative
Non-splitting
Positivity-preserving
Semi-Lagrangian
Vlasov–Poisson
A High Order Conservative Semi-Lagrangian Discontinuous Galerkin Method for Two-Dimensional Transport Simulations
Journal article
Journal of Scientific Computing,2017, volume: 73, issue: 2-3, pages: 514-542
Authors:
Cai, Xiaofeng
;
Guo, Wei
;
Qiu, Jing-Mei
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View/Download:4/0
  |  
Submit date:2022/05/10
Discontinuous Galerkin
Green's theorem
Non-splitting
Positivity-preserving
Semi-Lagrangian
Transport equation
Moving mesh discontinuous galerkin method for hyperbolic conservation laws
Conference paper
Journal of Scientific Computing, Brown University, Providence, Rhode Island, USA, June 21–25, 2004
Authors:
Li, Ruo
;
Tang, Tao
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Submit date:2021/07/14
Discontinuous Galerkin method
Monitor function
Moving mesh method
Nonlinear conservation laws
A posteriori error estimates for discontinuous galerkin time-stepping method for optimal control problems governed by parabolic equations
Journal article
SIAM Journal on Numerical Analysis,2004, volume: 42, issue: 3, pages: 1032-1061
Authors:
Liu, Wenbin
;
Ma, Heping
;
Tang, Tao
;
Yan, Ningning
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  |  
Submit date:2021/05/10
A posteriori error analysis
Discontinuous galerkin method
Finite element approximation
Optimal control