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[02480] Conservative Timesteppers for Fluid Mechanics via Finite Elements in Time

  • Session Time & Room : 5C (Aug.25, 13:20-15:00) @E703
  • Type : Contributed Talk
  • Abstract : Finite-element-in-time—FET—formulations can be carefully constructed to preserve key structures in time-dependent PDEs, such as energy and helicity dissipation, material conservation, and Hamiltonians. Furthermore, with appropriate trial and test spaces, FET formulations can be solved one timestep at a time, like classical timesteppers. We propose a general auxiliary space concept that connects these ideas, using FET to derive timesteppers up to arbitrary order in time that preserve these structures. We discuss potential future applications of this idea.
  • Classification : 65M60, 76D05, 65P10, 76W05, 65M22
  • Format : Talk at Waseda University
  • Author(s) :
    • Boris Duncan Andrews (University of Oxford)
    • Patrick Emmet Farrell (University of Oxford)
    • Wayne Arter (United Kingdom Atomic Energy Authority)