A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems

Abstract The paper presents a posteriori error approximation concept based on residuals in the two-dimensional discontinuous Galerkin (DG) method. The approach is relatively simple and effective in application, and it takes advantage of some unique properties of the DG method. The error function is...

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Bibliographic Details
Main Authors: Jan Jaśkowiec, Jerzy Pamin
Format: Article
Language:English
Published: Nature Portfolio 2023-07-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-023-37414-4

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