A priori local error estimation with adaptive time-stepping

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1099-0887(199907)15:7<479::AID-CNM262>3.0.CO;2-7" /><479::AID-CNM262>3.0.CO;2-7 10.1002/(SICI)1099-0887(199907)15:7<479::AID-CNM262>3.0.CO;2-7zbMath0952.74026OpenAlexW1975700603MaRDI QIDQ4266603

P. Ruge

Publication date: 22 September 1999

Full work available at URL: https://doi.org/10.1002/(sici)1099-0887(199907)15:7<479::aid-cnm262>3.0.co;2-7

zbMATH Keywords

structural dynamicsoptimal parametersadaptive time-steppingNewmark's schemea priori local error estimatorlinear damped vibration system with three degrees of freedomone-step implicit time-stepping schemesPadé series expansions

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (2)

Error estimates and adaptive finite element methods ⋮ Asymptotic upper bounds for the errors of Richardson extrapolation with practical application in approximate computations

Cites Work

• Hybrid time-finite-elements with time-step-adaption by discontinuity control
• A simple local error estimator and an adaptive time-stepping procedure for direct integration method in dynamic analysis
• A postprocessed error estimate and an adaptive procedure for the semidiscrete finite element method in dynamic analysis
• STRUCTURAL DYNAMIC ANALYSIS BY A TIME-DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD

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