Some upwinding techniques for finite element approximations of convection-diffusion equations.
R.E. Bank, J.F. Bürgler, ... (1990/91)
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R.E. Bank, J.F. Bürgler, ... (1990/91)
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An extension of the local projection stabilization (LPS) finite element method for convection-diffusion-reaction equations is presented and analyzed, both in the steady-state and the transient setting. In addition to the standard LPS method, a nonlinear crosswind diffusion term is introduced that accounts for the reduction of spurious oscillations. The existence of a solution can be proved and, depending on the choice of the stabilization parameter, also its uniqueness. Error estimates...
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