Local discontinuous Galerkin method for a singularly perturbed fourth-order problem of reaction-diffusion type

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Yanhua Liu, Yao Cheng

Published: 01 Jan 2024, Last Modified: 06 Aug 2024J. Comput. Appl. Math. 2024EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: Highlights•The LDG method is used to solve a fourth-order singularly perturbed problem of reaction-diffusion type.•We establish a uniformly optimal convergence for the LDG method on a Shishkin mesh.•An inherent relationship between different numerical solutions in the DG space is explored.