Lagrangian and Moving Mesh Methods for the Convection Diffusion Equation

@inproceedings{Chrysafinos2008LagrangianAM,
  title={Lagrangian and Moving Mesh Methods for the Convection Diffusion Equation},
  author={Konstantinos Chrysafinos and Noel J. Walkington},
  year={2008}
}
We propose and analyze a semi Lagrangian method for the convection-diffusion equation. Error estimates for both semi and fully discrete finite element approximations are obtained for convection dominated flows. The estimates are posed in terms of the projections constructed in [Chrysafinos and Walkington, SIAM J. Numer. Anal. 43 (2006) 2478–2499; Chrysafinos and Walkington, SIAM J. Numer. Anal. 44 (2006) 349–366] and the dependence of various constants upon the diffusion parameter is… CONTINUE READING
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Dynamic-mesh finite element method for Lagrangian computational fluid dynamics

  • I. Malcevic, O. Ghattas
  • Finite Elem. Anal. Des. 38
  • 2002
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