\(L^2\)-error estimate for the strongly damped extensible beam equations

DOI10.1016/S0893-9659(98)00110-4zbMath0965.74061OpenAlexW1993349688MaRDI QIDQ1808589

Yanyan Li

Publication date: 4 June 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(98)00110-4

zbMATH Keywords

stability analysissemidiscrete schemestrongly damped extensible beam equations\(H(2)\)-projection\(L(2)\)-error estimatesCrank-Nicolson mehodfully discrete Galerkin scheme

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Cites Work

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• Energy convergence results for strongly damped nonlinear wave equations
• Stability theory for an extensible beam
• Stability theory for quasi-linear wave equations with linear damping