Semidiscrete least squares methods for linear convection-diffusion problem

DOI10.1016/0898-1221(92)90029-HzbMath0766.65074MaRDI QIDQ1203678

Tsu-Fen Chen

Publication date: 22 February 1993

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

numerical resultserror analysisCrank-Nicolson schemeleast squares methodsemi-discretizationtime-discretizationnonlinear Burgers equationconvection- dominated linear convection-diffusion problem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (5)

Unnamed Item ⋮ Semidiscrete least squares methods for linear hyperbolic systems ⋮ A split least-squares characteristic mixed element method for nonlinear nonstationary convection–diffusion problem ⋮ Weighted least-squares approximations to nonlinear hyperbolic equations ⋮ Analysis of least-squares mixed finite element methods for nonlinear nonstationary convection-diffusion problems

Cites Work

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• Finite element methods for linear hyperbolic problems
• Least squares finite element simulation of transonic flows
• On mixed finite element methods for first order elliptic systems
• On least-squares approximations to compressible flow problems
• Upwinding of high order Galerkin methods in conduction−convection problems
• Semidiscrete-Least Squares Methods for a Parabolic Boundary Value Problem

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