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Local projection stabilized finite element methods for advection–reaction problems

Garg, D and Ganesan, S (2023) Local projection stabilized finite element methods for advection–reaction problems. In: Calcolo, 60 (4).

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Official URL: https://doi.org/10.1007/s10092-023-00540-6


An a priori analysis for generalized local projection stabilized finite element approximations for the solution of an advection–reaction equation is presented in this article. The stability and a priori error estimates are derived for the conforming, and nonconforming (Crouzeix–Raviart) approximations in the local projection streamline derivative norm. Finally, the validation of the proposed stabilization scheme and verification of the derived estimates are presented with appropriate numerical experiments. © 2023, The Author(s).

Item Type: Journal Article
Publication: Calcolo
Publisher: Springer International Publishing
Additional Information: The copyright for this article belongs to the Authors.
Keywords: Advection; Stabilization, Advection-reaction equations; Error estimates; Finite element approximations; Generalized local projection stabilization; Local projection stabilizations; Local projections; Priori analysis; Priori error estimate; Stability estimates; Stabilized finite element, Finite element method
Department/Centre: Division of Interdisciplinary Sciences > Computational and Data Sciences
Date Deposited: 21 Nov 2023 09:09
Last Modified: 21 Nov 2023 09:09
URI: https://eprints.iisc.ac.in/id/eprint/83187

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