Analysis of a BDF-DGFE scheme for nonlinear convection-diffusion problems

DOI10.1007/s00211-008-0178-2zbMath1158.65068OpenAlexW2000239444MaRDI QIDQ957928

Miloslav Vlasák, Vít Dolejší

Publication date: 1 December 2008

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-008-0178-2

zbMATH Keywords

convergencenumerical examplesextrapolation methodnonlinear convection-diffusion equationa priori error estimatesdiscontinuous Galerkin finite element methodbackward differential formulaespace semi-discretization algorithm

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) 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

Second order unconditionally convergent and energy stable linearized scheme for MHD equations, Graded mesh refinement and error estimates of higher order for DGFE solutions of elliptic boundary value problems in polygons, Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems, Balanced and energy norm error bounds for a spatial FEM with Crank-Nicolson and BDF2 time discretisation applied to a singularly perturbed reaction-diffusion problem, Robust numerical methods for singularly perturbed differential equations: a survey covering 2008-2012, Convergence of a second-order linearized BDF-IPDG for nonlinear parabolic equations with discontinuous coefficients, Discontinuous Galerkin method for the solution of a transport level-set problem, DG method for pricing European options under Merton jump-diffusion model., A priori error estimates of an extrapolated space-time discontinuous galerkin method for nonlinear convection-diffusion problems, DGFEM for the analysis of airfoil vibrations induced by compressible flow

Uses Software

• RODAS

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