Transient probabilistic systems

DOI10.1016/0045-7825(88)90067-9zbMath0619.73085OpenAlexW2027034655MaRDI QIDQ1090154

Wing Kam Liu, Glen H. Besterfield, Ted Beltytschko

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)90067-9

zbMATH Keywords

Fourier analysisLanczos algorithmtransient analysissensitivity methodreduction schemeelimination of secularitieshigher-order forcing functionsnonlinear continuaprobabilistic finite element methodrandom field problemsreduced eigenproblemsecularity elimination schemesmaller system of tridiagonal equations

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Probabilistic methods, stochastic differential equations (65C99)

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Cites Work

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• A subspace lanczos method for the generalized symmetric eigenproblem
• Random field finite elements
• Implementation of the lanczos method for structural vibration analysis on a parallel computer
• Proper use of Lanczos vectors for large eigenvalue problems
• Basis random variables in finite element analysis
• The stochastic finite-element method
• The truncated Lanczos algorithm for partial solution of the symmetric eigenproblem
• Random Fields
• Vibration modes of large structures by an automatic matrix-reductionmethod
• Solution of eigenvalue problems by sturm sequence method
• Computational Variants of the Lanczos Method for the Eigenproblem
• Lanczos algorithm with selective reorthogonalization for eigenvalue extraction in structural dynamic and stability analysis
• Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection

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