Divisor structure of finite element eigenproblems arising from negative and zero masses

DOI10.1016/0045-7825(88)90007-2zbMath0618.73086OpenAlexW1996452881MaRDI QIDQ1089184

Xianjun Qiu, David S. Malkus

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)90007-2

zbMATH Keywords

kinetic energysingularstiffness matrixnegative masseslumpingdivisor structurefinite element eigenproblemshigher-order elementsnon-pathologicaloptimal nodal quadrature ruleright-body modeszero masses

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

Reversed stability conditions in transient finite element analysis

Cites Work

• Zero and negative masses in finite element vibration and transient analysis
• Eigenproblems associated with the discrete LBB condition for incompressible finite elements