Unconditionally stable element-by-element algorithms for dynamic problems

DOI10.1016/0045-7825(83)90114-7zbMath0501.73068OpenAlexW1983454238MaRDI QIDQ1172436

Peter M. Pinsky, Miguel Ortiz, Robert L. Taylor

Publication date: 1983

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(83)90114-7

zbMATH Keywords

consistencyaccuracydynamic problemsgeneral nonlinear equations of evolutionoperator split methodsproduct formula algorithmsunconditionally stable element-by-element algorithmsvelocity and stress taken as unknowns

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

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Cites Work

• Semigroups of linear operators and applications to partial differential equations
• An element-by-element solution algorithm for problems of structural and solid mechanics
• Partitioned Transient Analysis Procedures for Coupled-Field Problems: Stability Analysis
• Partitioned Transient Analysis Procedures for Coupled-Field Problems: Accuracy Analysis
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