In this article, we established the convergence of a $p^{th}$ order $( p \geq 1)$ finite element method on an exponentially graded Bakhvalov mesh for a convection-diffusion problem which posses boundary layer. Optimal uniform convergence order is obtained by a careful selection of the interpolation operator, considering the characteristics of the layers, allows the finite element method. Numerical results are presented to support the theoretical findings.
Podila, P. C. and Sahu, S. K. (2026). Unifrom convergence of a higher order finite element method on an exponentially graded Bakhvalov mesh for convection-diffusion problems possessing boundary layers. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2026.66275.3088
MLA
Podila, P. C. , and Sahu, S. K. . "Unifrom convergence of a higher order finite element method on an exponentially graded Bakhvalov mesh for convection-diffusion problems possessing boundary layers", Computational Methods for Differential Equations, , , 2026, -. doi: 10.22034/cmde.2026.66275.3088
HARVARD
Podila, P. C., Sahu, S. K. (2026). 'Unifrom convergence of a higher order finite element method on an exponentially graded Bakhvalov mesh for convection-diffusion problems possessing boundary layers', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2026.66275.3088
CHICAGO
P. C. Podila and S. K. Sahu, "Unifrom convergence of a higher order finite element method on an exponentially graded Bakhvalov mesh for convection-diffusion problems possessing boundary layers," Computational Methods for Differential Equations, (2026): -, doi: 10.22034/cmde.2026.66275.3088
VANCOUVER
Podila, P. C., Sahu, S. K. Unifrom convergence of a higher order finite element method on an exponentially graded Bakhvalov mesh for convection-diffusion problems possessing boundary layers. Computational Methods for Differential Equations, 2026; (): -. doi: 10.22034/cmde.2026.66275.3088
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