典型文献
Conservative Discontinuous Galerkin/Hermite Spectral Method for the Vlasov-Poisson System
文献摘要：
We propose a class of conservative discontinuous Galerkin methods for the Vlasov-Pois-son system written as a hyperbolic system using Hermite polynomials in the velocity vari-able.These schemes are designed to be systematically as accurate as one wants with prov-able conservation of mass and possibly total energy.Such properties in general are hard to achieve within other numerical method frameworks for simulating the Vlasov-Poisson system.The proposed scheme employs the discontinuous Galerkin discretization for both the Vlasov and the Poisson equations,resulting in a consistent description of the distribu-tion function and the electric field.Numerical simulations are performed to verify the order of the accuracy and conservation properties.
文献关键词：
中图分类号：
作者姓名：
Francis Filbet;Tao Xiong
作者机构：
Institut de Mathématiques de Toulouse,Université Paul Sabatier,Toulouse 31062,France;School of Mathematical Sciences and Fujian Provincial Key Laboratory of Mathematical Modeling and High-Performance Scientific Computing,Xiamen University,Xiamen 361005,Fujian Province,China
文献出处：
引用格式：
[1]Francis Filbet;Tao Xiong-.Conservative Discontinuous Galerkin/Hermite Spectral Method for the Vlasov-Poisson System)[J].应用数学与计算数学学报,2022(01):34-59
A类：
Pois,prov
B类：
Conservative,Discontinuous,Galerkin,Hermite,Spectral,Method,Vlasov,Poisson,System,We,class,conservative,discontinuous,methods,written,hyperbolic,using,polynomials,velocity,vari,able,These,schemes,are,designed,be,systematically,accurate,one,wants,conservation,mass,possibly,total,energy,Such,properties,general,hard,achieve,within,other,numerical,frameworks,simulating,proposed,employs,discretization,both,equations,resulting,consistent,description,distribu,function,electric,field,Numerical,simulations,performed,verify,order,accuracy
AB值：
0.603756
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