Discrete Maximum principle for a space-time least squares formulation of the transport equation with finite element

نویسندگان

  • K. Benmansour
  • E. Bretin
  • L. Piffet
  • J. Pousin
چکیده

Finite element methods are known to produce spurious oscillations when the transport equation is solved. In this paper, a variational formulation for the transport equation is proposed, and by introducing a positivity constraint combined with a penalization of the total variation of the solution, a discrete maximum principle is verified for lagrange first order finite element methods. Moreover, the oscillations are cancelled.

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تاریخ انتشار 2013