Error estimates of the Galerkin method for quasilinear hyperbolic equations

DOI10.1023/A:1011965923024zbMath1008.65069OpenAlexW204371078MaRDI QIDQ1603183

A. D. Lyashko, S. E. Zhelezovskii

Publication date: 24 March 2003

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011965923024

zbMATH Keywords

convergenceHilbert spacesemidiscrete Galerkin methodasymptotic error estimatesabstract second-order quasilinear hyperbolic equation

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Second-order nonlinear hyperbolic equations (35L70) 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 equations with nonlinear operators (65J15) Abstract hyperbolic equations (35L90)

Related Items (3)

Error estimates for schemes of the projection-difference method for abstract quasilinear hyperbolic equations ⋮ 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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