Galerkin-Petrov limit schemes for the convection-diffusion equation

DOI10.1134/S0012266109070131zbMath1176.65107WikidataQ115252727 ScholiaQ115252727MaRDI QIDQ1034402

A. D. Lyashko, Eugeny M. Fedotov

Publication date: 6 November 2009

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

stabilityconvection-diffusion equationnumerical examplesdifference schemessemidiscretizationmesh generationfinite-elementGalerkin-Petrov methods

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (4)

Discontinuous mixed penalty-free Galerkin method for second-order quasilinear elliptic equations ⋮ Limit Galerkin-Petrov schemes for a nonlinear convection-diffusion equation ⋮ Nonconformal schemes of the finite-element method for nonlinear hyperbolic conservation laws ⋮ Analysis of lumped approximations in the finite-element method for convection-diffusion problems

Cites Work

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• High-resolution FEM--FCT schemes for multidimensional conservation laws
• Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• High-order Finite Difference and Finite Volume WENO Schemes and Discontinuous Galerkin Methods for CFD
• High-Resolution Conservative Algorithms for Advection in Incompressible Flow
• Flux-upwind stabilization of the discontinuous Petrov–Galerkin formulation with Lagrange multipliers for advection-diffusion problems

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