Stability of nonlinear convection-diffusion-reaction systems in discontinuous Galerkin methods

DOI10.1007/s10915-016-0256-zzbMath1361.65064OpenAlexW2501389413WikidataQ57427623 ScholiaQ57427623MaRDI QIDQ520192

Yong-Cai Geng, Sumit K. Garg

Publication date: 3 April 2017

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

Full work available at URL: https://doi.org/10.1007/s10915-016-0256-z

zbMATH Keywords

stability analysisnonlinear systemnonlinearRunge-Kutta methodsdiscontinuous Galerkinvon Neumannatmospheric chemistrycompressible gasesconvection-reaction-diffusion

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Gas dynamics (general theory) (76N15) 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) Meteorology and atmospheric physics (86A10)

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Global spectral analysis for convection-diffusion-reaction equation in one and two-dimensions: effects of numerical anti-diffusion and dispersion ⋮ Stability analysis of discontinuous Galerkin method for stiff Volterra functional differential equations ⋮ Analysis of the local discontinuous Galerkin method with generalized fluxes for one-dimensional nonlinear convection-diffusion systems ⋮ Quenching study of two-dimensional fractional reaction-diffusion equation from combustion process ⋮ Discontinuous Galerkin methods for plasma physics in the scrape-off layer of tokamaks ⋮ Performance comparison of HPX versus traditional parallelization strategies for the discontinuous Galerkin method ⋮ A numerical scheme for a partial differential system motivated by light-triggered drug delivery

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