Stability and convergence of a Galerkin-characteristics finite element scheme of lumped mass type

DOI10.1002/fld.2459zbMath1211.65119OpenAlexW1971831322MaRDI QIDQ3068355

Olivier Pironneau, Masahisa Tabata

Publication date: 14 January 2011

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2324/15554

zbMATH Keywords

stabilityconvergenceconvection-diffusion equationnumerical examplesGalerkin-characteristics finite element schemelamped mass approximation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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)

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Cites Work

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• Uniform convergence of the upwind finite element approximation for semilinear parabolic problems
• Uniqueness and error estimates in first order quasilinear conservation laws via the kinetic entropy defect measure
• A second order characteristic finite element scheme for convection-diffusion problems
• On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
• Maximum principle and uniform convergence for the finite element method
• Discontinuous Galerkin Methods for Friedrichs' Systems. Part III. Multifield Theories with Partial Coercivity
• An ‘upwind’ finite element scheme for two‐dimensional convective transport equation

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