Numerical methods for evolutionary problems in partial differential equations and control

Authors

  • Guillermo Villa Mart Department of Mathematics, Universidad Tecnol
  • Carlos Alberto Ram Department of Mathematics, Universidad Tecnol
  • Oscar Danilo Montoya Giraldo Grupo de Compatibilidad e interferencia Electromagn

DOI:

https://doi.org/10.19139/soic-2310-5070-2489

Keywords:

finite element method, finite element analysis, partial differential equation, Poission problem, weak formulation, discretization, assembly, reference element, Gaussian quadrature.

Abstract

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.

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Published

2025-06-23

How to Cite

Mart, G. V. ., Ram, C. A. ., & Giraldo, O. D. M. (2025). Numerical methods for evolutionary problems in partial differential equations and control. Statistics, Optimization & Information Computing, 14(4), 1992–2004. https://doi.org/10.19139/soic-2310-5070-2489

Issue

Vol. 14 No. 4 (2025)

Section

Research Articles

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