Convergence of the Galerkin method of approximate solving parabolic equation with weight integral condition

DOI10.3103/S1066369X16080053zbMath1352.65295MaRDI QIDQ328767

A. A. Petrova, V. V. Smagin

Publication date: 21 October 2016

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergenceerror estimatesHilbert spaceabstract linear parabolic equationnonlocal weight integral condition

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) 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 (1)

Convergence of a projection-difference method for the approximate solution of a parabolic equation with a weighted integral condition on the solution

Cites Work

• On a time nonlocal problem for inhomogeneous evolution equations
• On non-negative contractive semigroups with non-local conditions
• Estimates of the rate of convergence of projective and projective-difference methods for weakly solvable parabolic equations
• COERCIVE ERROR ESTIMATES IN THE PROJECTION AND PROJECTION-DIFFERENCE METHODS FOR PARABOLIC EQUATIONS
• Projection-difference methods for the approximate solution of parabolic equations with nonsymmetric operators
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