Supercloseness of the LDG method for a two-dimensional singularly perturbed convection-diffusion problem on Bakhvalov-type mesh

Autor:	Zhang, Chunxiao, Zhang, Jin, Zheng, Wenchao
Rok vydání:	2023
Předmět:	Mathematics - Numerical Analysis 65N15 65N30
Druh dokumentu:	Working Paper
Popis:	In this paper, we focus on analyzing the supercloseness property of a two-dimensional singularly perturbed convection-diffusion problem with exponential boundary layers. The local discontinuous Galerkin (LDG) method with piecewise tensor-product polynomials of degree k is applied to Bakhvalov-type mesh. By developing special two-dimensional local Gauss-Radau projections and establishing a novel interpolation, supercloseness of an optimal order k+1 can be achieved on Bakhvalov-type mesh. It is crucial to highlight that this supercloseness result is independent of the singular perturbation parameter. Comment: 19 pages and 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.10778 Zobrazit plný text záznamu View this record from Arxiv