Publicación: A HYBRID MIXED FINITE ELEMENT METHOD FOR CONVECTION-DIFFUSION-REACTION EQUATION WITH LOCAL EXPONENTIAL FITTING TECHNIQUE
Fecha
2023
Autores
Título de la revista
ISSN de la revista
Título del volumen
Editor
APPLIED NUMERICAL MATHEMATICS
Resumen
A NEW HYBRID MIXED FINITE ELEMENT METHOD IS PROPOSED FOR SOLVING THE CONVECTION-DIFFUSION-REACTION EQUATION WITH LOCAL EXPONENTIAL FITTING TECHNIQUE. IN THIS METHOD,
THE EXPONENTIAL FITTING TECHNIQUE IN [7] IS USED TO DISCRETIZE THE CONVECTION-DIFFUSION-
REACTION EQUATION BY INTRODUCING A NEW VARIABLE AT ELEMENT LEVEL; THEN THE HYBRID MIXED
DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD IS USED TO APPROXIMATE THE DISCRETIZED
PROBLEM. THE CONVERGENCE OF THE PROPOSED METHOD IS ANALYZED, AND THE CORRESPONDING
A PRIORI ERROR ESTIMATE IS DERIVED. THE NUMERICAL RESULTS ARE PRESENTED TO CONFIRM OUR
THEORETICAL ANALYSIS.
Descripción
Palabras clave
Mixed hybrid discontinuous, Local exponential fitting, Galerkin method, Convection-dominated, Convection-diffusion-reaction equation
