带间断系数的奇异摄动对流扩散方程的 NIPG 有限元方法

Abstract

Abstract:

In this paper, a higher order NIPG method on a Bakhvalov-type mesh for a singularly perturbed convection-diffusion problem with a discontinuous convection coefficient is studied. Based on Gauß Radau interpolation and Lagrange interpolation, the convergence of optimal order in an energy norm is derived. Numerical experiments are proposed to confirm our theoretical results.

Key words: Singularly perturbed, Nonsmooth coefficient, NIPG method, Bakhvalov-type mesh

CLC Number:

0175.23

Xu Lei, Liu Libin. Uniformly Convergent NIPG Methods for a Singularly Perturbed Convection-Diffusion Problem with a Discontinuous Convection Coefficient[J].Acta mathematica scientia,Series A, 2024, 44(6): 1499-1510.

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Uniformly Convergent NIPG Methods for a Singularly Perturbed Convection-Diffusion Problem with a Discontinuous Convection Coefficient

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