STABILITY ANALYSIS AND ERROR ESTIMATES OF LOCAL DISCONTINUOUS GALERKIN METHOD FOR CONVECTION-DIFFUSION EQUATIONS ON OVERLAPPING MESH WITH NON-PERIODIC BOUNDARY CONDITIONS

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dc.contributor.authorChuenjarern, Nattaporn
dc.contributor.authorWuttanachamsri, Kanognudge
dc.contributor.authorYang, Yang
dc.date.accessioned2026-08-06T10:30:42Z
dc.date.available2026-08-06T10:30:42Z
dc.date.issued2021-01-01
dc.description.abstractA new local discontinuous Galerkin (LDG) method for convection-diffusion equations on overlapping meshes with periodic boundary conditions was introduced in [14]. With the new method, the primary variable u and the auxiliary variable p = u<inf>x</inf> are solved on different meshes. In this paper, we will extend the idea to convection-diffusion equations with non-periodic boundary conditions, i.e. Neumann and Dirichlet boundary conditions. The main difference is to adjust the boundary cells. Moreover, we study the stability and suboptimal error estimates. Finally, numerical experiments are given to verify the theoretical findings.
dc.identifier.citationInternational Journal of Numerical Analysis and Modeling, 18(6), 788-810, 2021
dc.identifier.issn17055105
dc.identifier.other2-s2.0-85124719554
dc.identifier.urihttps://dspace.kmitl.ac.th/handle/123456789/11523
dc.sourceInternational Journal of Numerical Analysis and Modeling
dc.subjectError analysis
dc.subjectLocal discontinuous Galerkin method
dc.subjectOverlapping meshes
dc.subjectStability
dc.titleSTABILITY ANALYSIS AND ERROR ESTIMATES OF LOCAL DISCONTINUOUS GALERKIN METHOD FOR CONVECTION-DIFFUSION EQUATIONS ON OVERLAPPING MESH WITH NON-PERIODIC BOUNDARY CONDITIONS
dc.typeArticle

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