Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations  

作　　者：Matthias Maier John N.Shadid Ignacio Tomas 

机构地区：[1]Department of Mathematics,Texas A&M University,3368 TAMU,College Station,TX 77843,USA [2]Sandia National Laboratories,P.O.Box 5800,MS 1320,Albuquerque,NM 87185,USA [3]Department of Mathematics and Statistics,University of New Mexico,MSC011115,Albuquerque,NM 87131,USA [4]Department of Mathematics&Statistics,Texas Tech University,2500 Broadway,Lubbock,TX 79409,USA.

出　　处：《Communications in Computational Physics》2023年第3期647-691,共45页计算物理通讯（英文）

摘　　要：We discuss structure-preserving numerical discretizations for repulsive and attractive Euler-Poisson equations that find applications in fluid-plasma and selfgravitation modeling.The scheme is fully discrete and structure preserving in the sense that it maintains a discrete energy law,as well as hyperbolic invariant domain properties,such as positivity of the density and a minimum principle of the specific entropy.A detailed discussion of algorithmic details is given,as well as proofs of the claimed properties.We present computational experiments corroborating our analytical findings and demonstrating the computational capabilities of the scheme.

关 键 词：Euler-Poisson equations operator splitting invariant domain preservation discrete energy balance. 

分 类 号：O241.8[理学—计算数学]