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PreprintarXiv licencearXiv

Hybridizable Discontinuous Galerkin methods for the Keller-Segel model

  • Silvia Bertoluzza
  • Gabriella Bretti
  • Micol Pennacchio
  • Christophe Prud'homme
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Abstract

We propose a hybridizable discontinuous Galerkin (HDG) finite element method to approximate the solution of the time-dependent Keller-Segel model, a drift-diffusion system describing chemotactic cell movement. We develop and analyze the corresponding HDG scheme, and establish theoretical convergence results for the proposed discretization. Finally, we present numerical experiments that confirm the theoretical findings.

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Cite

BibTeXRIS
BibTeX
@misc{bertoluzza2026hybridizable,
  title = {{Hybridizable Discontinuous Galerkin methods for the Keller-Segel model}},
  author = {Silvia Bertoluzza and Gabriella Bretti and Micol Pennacchio and Christophe Prud'homme},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.33260},
  eprint = {2610.33260},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.33260},
}
RIS
TY  - UNPB
TI  - Hybridizable Discontinuous Galerkin methods for the Keller-Segel model
AU  - Silvia Bertoluzza
AU  - Gabriella Bretti
AU  - Micol Pennacchio
AU  - Christophe Prud'homme
PY  - 2026
DA  - 2026/10/28
PB  - arXiv
DO  - 10.48550/arxiv.2610.33260
UR  - https://arxiv.org/abs/2610.33260
AB  - We propose a hybridizable discontinuous Galerkin (HDG) finite element method to approximate the solution of the time-dependent Keller-Segel model, a drift-diffusion system describing chemotactic cell movement. We develop and analyze the corresponding HDG scheme, and establish theoretical convergence results for the proposed discretization. Finally, we present numerical experiments that confirm the theoretical findings.
ER  -