Numerical methods for evolutionary problems in partial differential equations and control
In this paper we implement the finite element method for parabolic problems with dominant transport terms. The formulation of the linear system of equations coming from a partial differential equation takes its form from the weakening of the problem. Several numerical experiments are performed to know the convergence of the solution and an error analysis in a Sobolev space for linear functions is implemented.
Authors
- Carlos Alberto Vanegas (ORCID: https://orcid.org/0000-0002-6646-4209)
- Guillermo J. Reyes Martínez
- Oscar Danilo Montoya (ORCID: https://orcid.org/0000-0001-6051-4925)
Institutions
- Technological University of Pereira (CO)
- Universidad Distrital Francisco José de Caldas (CO)
Publication Details
- Journal
- Statistics Optimization & Information Computing
- Published
- 2025-06-23
- DOI
- https://doi.org/10.19139/soic-2310-5070-2489
- Primary Topic
- Differential Equations and Numerical Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Universidad Tecnológica de Pereira