Abstract
The incorporation of the Galerkin technique in the finite element method has removed the constraint of finding a variational formulation for many problems of mathematical physics. The method has been successfully applied to many areas and has received wide acceptance. However, in the process of transplanting the concept from the Galerkin method for the entire domain to the Galerkin finite element method, some formal details have been overlooked or glossed over in the literature. This paper considers some of these details, including a possible reason for integration by parts and the contribution of interelement discontinuity terms.
| Original language | English |
|---|---|
| Pages (from-to) | 165-170 |
| Number of pages | 6 |
| Journal | Applied Mathematical Modelling |
| Volume | 6 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jun 1982 |
Bibliographical note
Funding Information:The author is grateful for many fruitful discussions on the subject matter with Dr M. H. Baluch, Associate Professor, Department of Civil Engineering, University of Petroleum and Minerals, Dhahran, Saudi Arabia. He also acknowledges the support provided by the University of Petroleum and Minerals, Dhahran, for this research.
Keywords
- Dirichlet boundary condition
- Galerkin finite element method
- integration by parts
- inter-element discontinuities
ASJC Scopus subject areas
- Modeling and Simulation
- Applied Mathematics