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This chapter is the first one that studies discretizations of the convection-diffusion-reaction problem ( 2.8 ) that are monotone or obey DMPs under appropriate assumptions. In order to concentrate on the impact of convection, in particular if convection dominates, several simplifications will be taken into account, which will be described now.

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Linear Finite Element Methods for Convection-Diffusion-Reaction Problems

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  • 发表日期：

    2025年

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  • Gabriel R. Barrenechea,
  • Volker John,
  • Petr Knobloch

摘要

This chapter is the first one that studies discretizations of the convection-diffusion-reaction problem ( 2.8 ) that are monotone or obey DMPs under appropriate assumptions. In order to concentrate on the impact of convection, in particular if convection dominates, several simplifications will be taken into account, which will be described now.