A Taylor–Galerkin method for convective transport problems

@inproceedings{Donea1984ATM,
  title={A Taylor–Galerkin method for convective transport problems},
  author={Jean Donea},
  year={1984}
}
A method is described to derive finite element schemes for the scalar convection equation in one or more space dimensions. To produce accurate temporal differencing, the method employs forward-time Taylor series expansions including time derivatives of second- and third-order which are evaluated from the governing partial differential equation. This yields a generalized time-discretized equation which is successively discretized in space by means of the standard Bubnov–Galerkin finite element… CONTINUE READING

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