A new nonsymmetric discontinuous Galerkin method for time dependent convection diffusion equations

DOI10.1007/s10915-012-9637-0zbMath1269.65102OpenAlexW2084788717MaRDI QIDQ1945376

Jue Yan

Publication date: 8 April 2013

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

Full work available at URL: https://doi.org/10.1007/s10915-012-9637-0

zbMATH Keywords

stabilityconvergencenonlinear convection-diffusion equationdegenerate parabolic equationnonlinear reaction-diffusion equationlinear heat diffusionnonlinear diffusion in porous medianonsymmetric discontinuous Galerkin methodtime dependent convection-diffusion equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Flows in porous media; filtration; seepage (76S05) Heat equation (35K05) Degenerate parabolic equations (35K65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (14)

Superconvergence study of the direct discontinuous Galerkin method and its variations for diffusion equations ⋮ The direct discontinuous Galerkin methods with implicit-explicit Runge-Kutta time marching for linear convection-diffusion problems ⋮ A new direct discontinuous Galerkin method with interface correction for two-dimensional compressible Navier-Stokes equations ⋮ Any order spectral volume methods for diffusion equations using the local discontinuous Galerkin formulation ⋮ Fourier type super convergence study on DDGIC and symmetric DDG methods ⋮ A generalized framework for direct discontinuous Galerkin methods for nonlinear diffusion equations ⋮ Unified analysis of any order spectral volume methods for diffusion equations ⋮ Gradient recovery based a posteriori error estimator for the adaptive direct discontinuous Galerkin method ⋮ A positivity-preserving high order discontinuous Galerkin scheme for convection-diffusion equations ⋮ Direct discontinuous Galerkin method and its variations for second order elliptic equations ⋮ Third order maximum-principle-satisfying direct discontinuous Galerkin methods for time dependent convection diffusion equations on unstructured triangular meshes ⋮ A new approach for admissibility analysis of the direct discontinuous Galerkin method through Hilbert matrices ⋮ Adaptive direct discontinuous Galerkin method for elliptic equations ⋮ Numerical methods to simulate moisture dynamics in fibrous sheet

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