Implicit–explicit multistep characteristic finite element methods for nonlinear convection–diffusion equations

DOI10.1002/num.20222zbMath1133.65073OpenAlexW2095722942MaRDI QIDQ5433239

Chuanjun Chen, Xiaohan Long

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.20222

zbMATH Keywords

convergencefinite element methodconvection-diffusion equationporous mediamethod of characteristicsshallow waterparabolic problems\(L^2\) error estimateimplicit-explicit multistep method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Flows in porous media; filtration; seepage (76S05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) 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)

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