Work

Hybridizable Discontinuous Galerkin methods for the Keller-Segel model

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.33260

Authors: Bertoluzza, Silvia, Bretti, Gabriella, Pennacchio, Micol, Prud'homme, Christophe

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7223896713

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