Effect of numerical integration in the DGFEM for nonlinear convection‐diffusion problems

DOI10.1002/num.20225zbMath1133.65079OpenAlexW2125255535MaRDI QIDQ5433241

Veronika Sobotíková, Miloslav Feistauer

Publication date: 8 January 2008

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20225

zbMATH Keywords

error estimatesmethod of linesquadrature formulanonlinear convection-diffusion equationdiscontinuous Galerkin finite element method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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

Numerical homogenization method for parabolic advection-diffusion multiscale problems with large compressible flows, Graded mesh refinement and error estimates of higher order for DGFE solutions of elliptic boundary value problems in polygons, L ∞ (L 2)-error estimates for the DGFEM applied to convection–diffusion problems on nonconforming meshes, A brief survey on numerical methods for solving singularly perturbed problems, Error estimates to smooth solutions of semi‐discrete discontinuous Galerkin methods with quadrature rules for scalar conservation laws, A fast method for solving time-dependent nonlinear convection diffusion problems, Numerical Integration in the DGFEM for 3D Nonlinear Convection–Diffusion Problems on Nonconforming Meshes, Numerical integration in the DGFEM for nonlinear convection-diffusion problems, Error analysis of a DG method employing ideal elements applied to a nonlinear convection–diffusion problem

Cites Work

• Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows. I: General formulation.
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