Non-smooth initial data error estimates with the weight norms for the linear finite element method of parabolic partial differential equations

DOI10.1016/0096-3003(93)90031-9zbMath0766.65084OpenAlexW2000475196MaRDI QIDQ1208337

Da Xu

Publication date: 16 May 1993

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(93)90031-9

zbMATH Keywords

heat equationenergy methoderror estimateorder of convergenceGalerkin approximation

Mathematics Subject Classification ID

Heat equation (35K05) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (4)

Quasi-wavelet based numerical method for fourth-order partial integro-differential equations with a weakly singular kernel ⋮ Finite central difference/finite element approximations for parabolic integro-differential equations ⋮ Quasi wavelet based numerical method for a class of partial integro-differential equation ⋮ Error estimates and adaptive finite element methods

Cites Work

• Galerkin finite element methods for parabolic problems
• Maximum norm stability and error estimates in parabolic finite element equations
• On the Smoothing Property of the Galerkin Method for Parabolic Equations
• Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations

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