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

DOI10.1007/s11006-006-0106-7zbMath1122.65082OpenAlexW3159313469MaRDI QIDQ881052

S. E. Zhelezovskii

Publication date: 21 May 2007

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

Full work available at URL: https://doi.org/10.1007/s11006-006-0106-7

zbMATH Keywords

convergenceHilbert spacequasilinear hyperbolic equationsenergy normuniform normasymptotic error estimatesthree-layer schemeprojection-difference methodabstract quasilinear hyperbolic equations

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Abstract hyperbolic equations (35L90)

Related Items

Estimates for the accuracy of the projection-difference method for an abstract hyperbolic-parabolic system like systems of thermoelasticity equations

Cites Work

• Error estimates of the Galerkin method for quasilinear hyperbolic equations
• Solvability in the small of nonstationary problems for incompressible ideal and viscous fluids and the case of vanishing viscosity
• On the Convergence of Galerkin Approximation Schemes for Second-Order Hyperbolic Equations in Energy and Negative Norms
• On multistep-Galerkin discretizations of semilinear hyperbolic and parabolic equations
• An Analysis of Some Galerkin Schemes for the Solution of Nonlinear Time-Dependent Problems
• Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
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