Reversed stability conditions in transient finite element analysis

DOI10.1016/0045-7825(88)90109-0zbMath0647.73035OpenAlexW2010165270MaRDI QIDQ1104804

David S. Malkus, Meng-Ru Liu, Michael E. Plesha

Publication date: 1988

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(88)90109-0

zbMATH Keywords

elastodynamicsnumerical experimentfluid mechanicssemidiscrete equationsNewmark methodhigher-order elementsalgorithmic dampingartificially unstable modesgeneralized trapezoidal methodsoptimal mass lumpingpenalty function with alternating signsStable integrationunstable high-frequency modesunstable modal equations

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05)

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Mass matrix templates: general description and 1D examples, Customizing the mass and geometric stiffness of plane beam elements by Fourier methods, The stability of numerical approximations to nonlinear hyperbolic equations

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