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A convection–diffusion problem with a large shift on Durán meshes

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Abstract

A convection–diffusion problem with a large shift in space is considered. Numerical analysis of high order finite element methods on layer-adapted Durán type meshes, as well as on coarser Durán type meshes in places where weak layers appear, is provided. The theoretical results are confirmed by numerical experiments.

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Acknowledgements

The first author is supported by the Ministry of Science, Technological Development and Innovation of the Republic of Serbia under grant no. 451-03-47/2023-01/200134.

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Authors and Affiliations

  1. Faculty of Technology Novi Sad, University of Novi Sad, Bulevar cara Lazara 1, 21000, Novi Sad, Serbia

    Mirjana Brdar

  2. Institute of Scientific Computing, Technische Universität Dresden, Dresden, Germany

    Sebastian Franz

  3. Institute of Numerical Mathematics, Technische Universität Dresden, Dresden, Germany

    Hans-Görg Roos

Authors
  1. Mirjana Brdar
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  2. Sebastian Franz
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  3. Hans-Görg Roos
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Correspondence to Mirjana Brdar.

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Brdar, M., Franz, S. & Roos, HG. A convection–diffusion problem with a large shift on Durán meshes. Calcolo 61, 6 (2024). https://doi.org/10.1007/s10092-023-00559-9

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  • DOI: https://doi.org/10.1007/s10092-023-00559-9

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