Year: 2025
Type: article
Abstract: In this paper, we analyze, from the numerical point of view, a new thermoelastic problem involving the so-called Bresse system. The heat conduction is modeled by using the Maxwell-Cattaneo law, which is of hyperbolic type. An existence and uniqueness result and an energy decay property are recalled. Then, fully discrete approximations are introduced by using the finite element method and the implicit Euler scheme. First, we prove that the discrete solution is stable, and secondly, we provide an a priori error analysis. This allows us to conclude the linear convergence under suitable additional regularity on the continuous solution. Finally, numerical results are presented to demonstrate the convergence of the scheme and the behavior of the discrete energy.
Source: Electronic Research Archive
DOI: 10.3934/era.2025172
Authors: Noelia Bazarra, José R. Fernández, Irea López, María Rodríguez-Damián
Institution: Universidade de Vigo
Language: English
Subfield: Mechanics of Materials
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,000
Awards: G4314937763, G717256432
OpenAlex ID: W4411547291