Summary
We consider a upwind control volume mixed finite element method for convection–diffusion problem on rectangular grids. These methods use the lowest order Raviart–Thomas mixed finite element space as the trial functional space and associate control-volumes, or covolumes, with the vector variable as well as the scalar variable. Chou et al. [6] established a one-half order convergence in discrete L 2-norms. In this paper, we establish a first order convergence for both the vector variable as well as the scalar variable in discrete L 2-norms.
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Rui, H. Convergence of an upwind control-volume mixed finite element method for convection–diffusion problems. Computing 81, 297–315 (2007). https://doi.org/10.1007/s00607-007-0256-9
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DOI: https://doi.org/10.1007/s00607-007-0256-9