Extrapolated Galerkin time finite elements

DOI10.1007/BF00363983zbMath0849.73066MaRDI QIDQ1914982

Yanyan Li

Publication date: 17 November 1996

Published in: Computational Mechanics (Search for Journal in Brave)

zbMATH Keywords

stabilitynumerical dissipationamplification matrixtemporal discretizationnumerical dispersionfirst order differential equations in state space

Mathematics Subject Classification ID

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

Related Items (4)

Complex-time-step methods for transient analysis ⋮ Three optimal families of three‐sub‐step dissipative implicit integration algorithms with either second, third, or fourth‐order accuracy for second‐order nonlinear dynamics ⋮ A suite of second-order composite sub-step explicit algorithms with controllable numerical dissipation and maximal stability bounds ⋮ Directly self-starting higher-order implicit integration algorithms with flexible dissipation control for structural dynamics

Cites Work

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• Asymptotic error expansion and Richardson extrapolation for linear finite elements
• Development of an implicit method with numerical dissipation from a generalized single-step algorithm for structural dynamics
• Practical performance of the \(\theta _ 1\)-method and comparison with other dissipative algorithms in structural dynamics
• Non-linear oscillations using the finite element technique
• High-order integration of smooth dynamical systems: Theory and numerical experiments
• A unified set of single step algorithms part 3: The beta-m method, a generalization of the Newmark scheme
• An alpha modification of Newmark's method

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