Orthogonal collocation on finite elements—progress and potential
✍ Scribed by Bruce A. Finlayson
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 684 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0378-4754
No coin nor oath required. For personal study only.
✦ Synopsis
The method of orthogonal collocation on finite elements is described for solution of ordinary and partial differential equations.
Benefits and limitations of the method are outlined by comparison with Galerkin finite element methods.
Practical difficulties are given which arise in the application to engineering problems. Areas for future research are suggested.
📜 SIMILAR VOLUMES
orthogonal collocation with those of the finite element method. The method is illustrated for a Poisson equation (heat conduction with source term) in a rectangular domain. Two different basis functions are employed: either Hermite or Lagrange polynomials (with first derivative continuity imposed
Ozone transport in a rigid single-pathway anatomic model of the lung was analyzed by a stable convergent numerical algorithm, the method of orthogonal collocation on finite elements. The simulations predicted the dynamic behavior of gas phase concentration profiles for both ozone and an insoluble in
## Abstract It is shown how the convergence requirements for a finite element may be written as a set of linear constraints on the stiffness matrix. It is then attempted to construct a best possible stiffness matrix. The constraint equations restrict the way in which these stiffness terms may be ch