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SUMMARY:Yinhua Xia/夏银华 (USTC)
DTSTART:20201229T081500Z
DTEND:20201229T090000Z
DTSTAMP:20260423T024742Z
UID:iccm2020/82
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/iccm2020/82/
 ">Structure preserving arbitrary Lagrangian-Eulerian discontinuous Galerki
 n methods</a>\nby Yinhua Xia/夏银华 (USTC) as part of ICCM 2020\n\n\nAb
 stract\nIn this talk\, we will discuss the structure preserving properties
  of the arbitrary Lagrangian-Eulerian discontinuous Galerkin (ALE-DG) meth
 ods. Based on the time dependent linear affine mapping\, the ALE-DG method
 s presented here maintains almost all mathematical properties of DG method
 s on static grids\, such as conservation\, geometric conservation law\, en
 tropy stability and optimal error estimates. Meanwhile the mesh movement f
 unction requires only a very mild Lipschitz continuity and without any rem
 apping. In this talk we will focus on the structure preserving property of
  the ALE-DG schemes for hyperbolic conservation laws\, including the posit
 ivity preserving property for Euler equations and the well-balanced proper
 ty for shallow water equations. The numerical stability\, robustness and a
 ccuracy of the methods will also be shown by a variety of computational ex
 periments on moving meshes.\n
LOCATION:https://researchseminars.org/talk/iccm2020/82/
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