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Optimal error estimate of discontinuous Galerkin methods for advection-diffusion-reaction problems with low regularity.

Authors :
Cai, Zhiqiang
Yang, Jing
Source :
Computers & Mathematics with Applications. Jun2023, Vol. 140, p282-290. 9p.
Publication Year :
2023

Abstract

In this paper, we present a class of discontinuous Galerkin finite element methods for advection-diffusion-reaction problems and establish a priori error estimates when the solution is only in H 1 + s (Ω) with s ∈ (0 , 1 / 2 ]. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
08981221
Volume :
140
Database :
Academic Search Index
Journal :
Computers & Mathematics with Applications
Publication Type :
Academic Journal
Accession number :
163697329
Full Text :
https://doi.org/10.1016/j.camwa.2022.11.005