Moving Finite Elements in 2-D.
Abstract
The moving finite element (MFE) method is a new PDE solution method which has shown significant promise in 1-D for the numerical solution of some of the most difficult problems under study with extremely large, but finite, gradients. The overall objective of the present research is to explore further the promise of the continuous node moving properties of the MFE method in 2-D. For this, both the logical structure of the MFE method and its reduction to practice in 2-D are under investigation in this project. This initial research in 2-D focuses upon such simple conservation equations as heat, travelling wave, and Burger's equations. Work in this initial reporting period has resulted in significant computational economies for both unvectorized versions of the MFE method as it currently exists and for vectorized versions which may emerge in later efforts. A working test code which is needed for essential scientific exploration and further enhancement of the MFE method in higher dimensions has been brought to nearly an operational stage of execution during this period. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 08, 1981
- Accession Number
- ADA111007
Entities
People
- Robert J. Gelinas