๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A comprehensive unified set of single-step algorithms with controllable dissipation for dynamics Part II. Algorithms and analysis

โœ Scribed by S.C. Fan; T.C. Fung; G. Sheng

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
646 KB
Volume
145
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

โœฆ Synopsis

In Part I, a comprehensive unified set of single-step algorithms with controllable dissipation based on the generalized Galerkin formulation was presented. In this paper, the details of four lower-order algorithms using parametrized temporal finite element are presented. The analyses of the numerical stability, dissipation and dispersion are also provided. In comparison with the established algorithms, the present algorithms facilitate controllable dissipation and yield results of higher-order accuracy. Examples are also included to illustrate the validity of the algorithms.

๐Ÿ“œ SIMILAR VOLUMES

A comprehensive unified set of single-st
A comprehensive unified set of single-step algorithms with controllable dissipation for dynamics Part I. Formulation
โœ S.C. Fan; T.C. Fung; G. Sheng ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 828 KB

A new class of time integration algorithms for dynamics is presented. The algorithms are based on finite element in time. The equations of motion are expressed in first-order form and the variables are interpolated via time polynomials. The unknown nodal variables are solved by the generalized Galer