Unifrom convergence of a higher order finite element method on an exponentially graded Bakhvalov mesh for convection-diffusion problems possessing boundary layers

	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
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 25 خرداد 1405 اصل مقاله (1.02 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2026.66275.3088
نویسندگان
Pramod Chakravarthy Podila^* ؛ Sachin Kumar Sahu
Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur, 440010, India.
چکیده
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.
کلیدواژه‌ها
Singularly perturbed؛ Finite element method؛ Exponentially graded Bakhvlov mesh؛ Uniform convergence

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