Parametrized formulations of Hamilton's law for numerical solutions of dynamic problems: Part II. Time finite element approximation

In part I of this paper, we presented a consistent mathematical perspective to the formulations of Hamilton's law and unified the formulations by parametrized form with global approximation. In part II of this paper, we extend the formulations to a proper form to develop high-performance time f...

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Vydané v:Computational mechanics Ročník 21; číslo 6; s. 449 - 460
Hlavní autori: Sheng, G., Fung, T. C., Fan, S. C.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Heidelberg Springer 01.06.1998
Berlin Springer Nature B.V
Predmet:
Approximation
Exact sciences and technology
Finite element method
Formulations
Fundamental areas of phenomenology (including applications)
Interpolation
Parameterization
Physics
Solid dynamics (ballistics, collision, multibody system, stabilization...)
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Vibrations and mechanical waves
Rigid bodies
Finite element method
Hamiltonian mechanics
Numerical method
Time domain method
Dynamical system
ISSN:0178-7675, 1432-0924
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Popis
Shrnutí:In part I of this paper, we presented a consistent mathematical perspective to the formulations of Hamilton's law and unified the formulations by parametrized form with global approximation. In part II of this paper, we extend the formulations to a proper form to develop high-performance time finite elements for numerical solutions of dynamic problems. The two-field mixed formulations are emphasized and the particular features of using lower order interpolation functions are discussed.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0178-7675
1432-0924
DOI:10.1007/s004660050324