Upwinded test functions for finite element and finite volume methods. (English) Zbl 0801.65096

Morton, K. W.

Griffiths, D. F. (ed.) et al., Numerical analysis 1991. Proceedings of the 14th Dundee conference, June 25-28, 1991, Dundee, UK. Dundee: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 260, 128-141 (1992).

The author considers steady and unsteady convection-diffusion problems. In the steady case Petrov-Galerkin methods generated by symmetrising the operator and Moore’s upwinded control volumes are discussed. In the unsteady case evolution Galerkin methods are presented.
For the entire collection see [Zbl 0787.00029].

Reviewer: M.Jung (Chemnitz)

MSC:

65M60	Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
35K15	Initial value problems for second-order parabolic equations

Keywords:

finite element; finite volume methods; convection-diffusion problems; Petrov-Galerkin methods; Moore’s upwinded control volumes; evolution Galerkin methods