Error estimates for the Galerkin method as applied to time-dependent equations

DOI10.1134/S0965542509090115zbMath1199.65311MaRDI QIDQ3652391

A. G. Zarubin, P. V. Vinogradova

Publication date: 17 December 2009

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

convergenceGalerkin methodCauchy problemHilbert spaceprojection methodinitial-boundary value problemsoperator-differential equationparabolic equationsnon-self-adjoint operatororthoprojector

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) 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, 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) Numerical solutions to abstract evolution equations (65J08)

Related Items (3)

Error Estimate for the Stationary Galerkin Method Applied to a Semilinear Parabolic Equation with Alternating Time Direction ⋮ One projection method for linear third order equation ⋮ Asymptotic Estimate of a Petrov - Galerkin Method for Nonlinear Operator-Differential Equation

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