Convergence of a finite element method on a Bakhvalov?type mesh for a singularly perturbed convection–diffusion equation in <scp>2D</scp>

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چکیده

A finite element method of any order is applied on a Bakhvalov-type mesh to solve singularly perturbed convection--diffusion equation in 2D, whose solution exhibits exponential boundary layers. uniform convergence (almost) optimal proved by means carefully defined interpolant.

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ژورنال

عنوان ژورنال: Numerical Methods for Partial Differential Equations

سال: 2022

ISSN: ['1098-2426', '0749-159X']

DOI: https://doi.org/10.1002/num.22930