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  • 标题:Structure Preserving Finite Differences in Polar Coordinates for Heat and Wave Equations.
  • 本地全文:下载
  • 作者:Vincent Trenchant ; Weiwei Hu ; Hector Ramirez
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2018
  • 卷号:51
  • 期号:2
  • 页码:571-576
  • DOI:10.1016/j.ifacol.2018.03.096
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractThis paper proposes a finite difference spatial discretization that preserves the geometrical structure, i.e. the Dirac structure, underlying 2D heat and wave equations in cylindrical coordinates. These equations are shown to rely on Dirac structures for a particular set of boundary conditions. The discretization is completed with time integration based on Stormer-Verlet method.
  • 关键词:KeywordsDistributed port-Hamiltonian systemsstaggered gridsfinite difference methodwave equationheat equation
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