Stability analysis and error estimates of local discontinuous Galerkin methods for convection-diffusion equations on overlapping meshes

DOI10.1007/s10543-019-00757-4zbMath1427.65242OpenAlexW2950445260MaRDI QIDQ2009109

Yang Yang, Eric T. Chung, Jie Du

Publication date: 27 November 2019

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-019-00757-4

zbMATH Keywords

stabilityerror estimatesconvection-diffusion equationslocal discontinuous Galerkin methodoverlapping meshes

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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (6)

Maximum-principle-preserving local discontinuous Galerkin methods for Allen-Cahn equations ⋮ Sub-Optimal Convergence of Discontinuous Galerkin Methods with Central Fluxes for Linear Hyperbolic Equations with Even Degree Polynomial Approximations ⋮ High-order bound-preserving discontinuous Galerkin methods for multicomponent chemically reacting flows ⋮ Maximum-principle-preserving high-order discontinuous Galerkin methods for incompressible Euler equations on overlapping meshes ⋮ Stability analysis and error estimates of local discontinuous Galerkin method for convection-diffusion equations on overlapping mesh with non-periodic boundary conditions ⋮ Fourier analysis of local discontinuous Galerkin methods for linear parabolic equations on overlapping meshes

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