A class of non-linear elliptic problems in inΓΏnite domains is considered, with non-linearities extending to inΓΏnity. Examples include steady-state heat radiation from an inΓΏnite plate, and the de ection of an inΓΏnite membrane on a non-linear elastic foundation. Also, this class of problems may serve
Finite and infinite elements for a simple problem in quantum mechanics
β Scribed by Bettess, Peter ;Abram, Richard A.
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 440 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1069-8299
- DOI
- 10.1002/cnm.488
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
Finite element and infinite element models are used to predict the behaviour of a simple example problem in quantum mechanics, that of a linear harmonic oscillator. It is shown that good agreement with the analytical solution is obtained and that the infinite elements give a significant improvement in accuracy at virtually no cost. It is concluded that finite and infinite elements models are a promising method for quantum mechanics problems. Copyright Β© 2002 John Wiley & Sons, Ltd.
π SIMILAR VOLUMES
In the technology of oil recovery, oil production rate can be increased by generation of a vertical conductive fracture adjacent to the well-bore. In this paper the seepage flow and isothermal deformation in both the oil formation and the fracture are studied by modelling the formation as a two-dime
We develop formulations for ΓΏnite element computation of exterior acoustics problems. A prominent feature of the formulations is the lack of integration over the unbounded domain, simplifying the task of discretization and potentially leading to numerous additional beneΓΏts. These formulations provid