Estimates for the rate of convergence of the Galerkin method for abstract hyperbolic equations

DOI10.1023/A:1002872318879zbMath0993.65101OpenAlexW105094258MaRDI QIDQ5951100

S. E. Zhelezovskii

Publication date: 13 September 2002

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

Full work available at URL: https://doi.org/10.1023/a:1002872318879

zbMATH Keywords

convergenceHilbert spacefinite-element methodCauchy methodlinear hyperbolic equationsemidiscrete Galerkin 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Linear differential equations in abstract spaces (34G10) Initial value problems for second-order hyperbolic equations (35L15)

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The Cauchy problem for an abstract second order ordinary differential equation ⋮ Existence and uniqueness of solutions of hyperbolic equations in divergence form with various boundary conditions on various parts of the boundary

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