Strong-norm error estimates for the projective-difference method for approximately solving abstract parabolic equations

DOI10.1007/BF02355464zbMath0916.65097MaRDI QIDQ1277498

V. V. Smagin

Publication date: 19 July 1999

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

convergenceHilbert spacefinite elementparabolic equationerror estimateGalerkin's methodEuler's implicit methodprojective-difference method

Mathematics Subject Classification ID

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) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (1)

On the rate of convergence of projection-difference methods for smoothly solvable parabolic equations

Cites Work

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• Estimates of error of semidiscrete approximations by Galerkin for parabolic equations with boundary condition of Neumann type
• Coercive error estimates for the projection-difference method for an abstract parabolic equation with an operator having time dependent domain
• COERCIVE ERROR ESTIMATES IN THE PROJECTION AND PROJECTION-DIFFERENCE METHODS FOR PARABOLIC EQUATIONS

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