Optimal error estimates of the local discontinuous Galerkin method for surface diffusion of graphs on Cartesian meshes

DOI10.1007/s10915-011-9492-4zbMath1251.65130OpenAlexW2116282764MaRDI QIDQ427218

Liangyue Ji, Yan Xu

Publication date: 13 June 2012

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-011-9492-4

zbMATH Keywords

stabilityconvergenceerror estimateslocal discontinuous Galerkin methodsurface diffusion of graphs

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

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