High-order finite element method on a Bakhvalov-type mesh for a singularly perturbed convection–diffusion problem with two parameters

Jin Zhang and Yanhui Lv

Applied Mathematics and Computation, 2021, vol. 397, issue C

Abstract: We investigate in this article convergence for a kth(k≥2) order finite element method on a Bakhvalov-type mesh for a two-parameter singularly perturbed two-point boundary value problem. By means of a special interpolation, we obtain the errors for Lagrange interpolation, and then prove the optimal order of convergence. Numerical experiments are given to demonstrate the theoretical results.

Keywords: Singular perturbation; Convection–diffusion equation; Two parameters; Finite element method; Bakhvalov-type mesh (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:397:y:2021:i:c:s0096300321000011

DOI: 10.1016/j.amc.2021.125953

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