Reduced numerical integration in thermal transient finite element analysis

DOI10.1016/0045-7949(83)90015-9zbMath0512.73063OpenAlexW2085143397MaRDI QIDQ3657556

David R. Owen, F. B. Damjanić

Publication date: 1983

Published in: Computers & Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7949(83)90015-9

zbMATH Keywords

stabilityaccuracyadaptive schemeinstabilitiesGalerkinCrank Nicolsoninaccuracieselement matricesreduced quadraturealpha-familyeigenproperties of conductivity and heat capacity matriceseigenvalue spectrum of thermal equation systemeight node biquadratic isoparametric elementsEuler Backward algorithmsfour node bilinearinadequate modelling of eigenvalue spectrum of heat capacity matrixinadequate representation of conductivity matricesinfluence on solution characteristics of order of numerical integration rulemodified Galerkinsource of errorthermal transient problemstwo level time integration algorithms

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Newton-type methods (49M15) Finite element methods applied to problems in solid mechanics (74S05) Thermodynamics in solid mechanics (74A15) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)

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