This paper demonstrates convergence in solutions for parabolic equations with dominant transport terms, suggesting efficient error analysis in Sobolev spaces.
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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Martínez et al. (2025) studied this question.
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