Analysis of a cell-vertex finite volume method for convection-diffusion problems

  • Morton K
  • Stynes M
  • Süli E
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Abstract

A cell-vertex finite volume approximation of elliptic convection-dominated diffusion equations is considered in two dimensions. The scheme is shown to be stable and second-order convergent in a mesh-dependent L 2 L_2 -norm.

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Morton, K., Stynes, M., & Süli, E. (1997). Analysis of a cell-vertex finite volume method for convection-diffusion problems. Mathematics of Computation, 66(220), 1389–1406. https://doi.org/10.1090/s0025-5718-97-00886-7

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