Abstract
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.
Similar content being viewed by others
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sheng, G., Fung, T. & Fan, S. Parametrized formulations of Hamilton's law for numerical solutions of dynamic problems: Part II. Time finite element approximation. Computational Mechanics 21, 449–460 (1998). https://doi.org/10.1007/s004660050324
Issue Date:
DOI: https://doi.org/10.1007/s004660050324