𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Variational Principle for Potential Fields from the Graph-Theoretic Field Model

✍ Scribed by G.J. Savage; H.K. Kesavan

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
748 KB
Volume
314
Category
Article
ISSN
0016-0032

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we derive discrete variational principles of potential field problems by applying the difference form of Tellegen's theorem to the Graph-Theoretic Field Model (GTFM) of a field. The continuous model variational principle is then obtained from its discrete counterpart by the application of a limiting process. The procedure herein is in marked contrast to the existing procedures whereby the variational principles are derived by applying mathematical operations to the partial differential system. The procedure holds promise for providing a framework for deriving variational principles of fields with anisotropic, nonlineatity or coupled processes.

πŸ“œ SIMILAR VOLUMES

Quasi-power functionals for potential fi
Quasi-power functionals for potential fields from the Graph- Theoretic Field Model
✍ G.J. Savage; H.K. Kesavan πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 558 KB

Quasi-power functionals have been traditionally derived through the Method of Weighted Residuals (MWR) and used as the starting formulation for the finite element method. In this paper, we derive similar but more complete functionals for potential fields through a novel approach. We first form discr

Time-Dependent Variational Principle for
Time-Dependent Variational Principle for the Expectation Value of an Observable: Mean-Field Applications
✍ Roger Balian; Marcel VΓ©nΓ©roni πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 402 KB

Given the state of a system at time t 0 , the expectation value of an observable at a later time t 1 is expressed as the stationary value of an action-like functional, in which a time-dependent state and an observable are the conjugate variables. By restricting the variational spaces, various approx

Inter- and intramolecular potential for
Inter- and intramolecular potential for the N-formylglycinamide-water system. A comparison between theoretical modeling and empirical force fields
✍ Jose Manuel Hermida-RamΓ³n; Steve Brdarski; Gunnar KarlstrΓΆm; Ulf Berg πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 463 KB

An intramolecular NEMO potential is presented for the N-formylglycinamide molecule together with an intermolecular potential for the N-formylglycinamide-water system. The intramolecular N-formylglycinamide potential can be used as a building block for the backbone of polypeptides and proteins. Two i