Numerical Analysis of a Second order Pure Lagrange–Galerkin Method for Convection-Diffusion Problems. Part I: Time Discretization

DOI10.1137/100809982zbMath1277.65081OpenAlexW2055956401MaRDI QIDQ2903017

M. Benítez, Alfredo Bermúdez

Publication date: 23 August 2012

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100809982

zbMATH Keywords

stabilityerror estimatesconvection-diffusion equationincompressible flowscharacteristic methodsecond-order schemespure Lagrange-Galerkin method

Mathematics Subject Classification ID

Diffusion (76R50) 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 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) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (5)

Second-Order Pure Lagrange--Galerkin Methods for Fluid-Structure Interaction Problems ⋮ A mass-preserving two-step Lagrange-Galerkin scheme for convection-diffusion problems ⋮ Non-Eulerian Newmark methods: a powerful tool for free-boundary continuum mechanics problems ⋮ Second-Order Finite Difference Approximations of the Upper-Convected Time Derivative ⋮ Pure Lagrangian and semi-Lagrangian finite element methods for the numerical solution of Navier-Stokes equations

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