Moving finite elements in 2-D. Technical progress report, year 3
The moving finite element (MFE) method has emerged as a potentially potent and interesting method for solving partial differential equations (PDE's) with large gradients. The principal feature of the MFE method is that the grid node co-ordinates, themselves, are dependent variables and are calculated at each time step so as to minimize a PDE residual in some norm. This has the effect of moving the grid nodes continuously and systematically to those positions which minimize PDE numerical solution errors. Research on the MFE method to this time has been advanced by a relatively small number of groups and individual investigators. Of these, the presently proposing group at Science Applications, Inc. (SAI), in Pleasanton, California, has pursued simultaneously developments of the basic theory, numerical analysis, and real-world applications under sponsorship of the DOE and others. The results of our MFE research to date in both 1-D and 2-D transient PDE systems have been quite positive, as well as laden with indicators for further advancements. We report the progress of this third year of 2-D MFE research and indicate those research tasks which should now be pursued into their next logical stages of advancement for large-gradient PDE problems in 2-D.
- Research Organization:
- Science Applications, Inc., Pleasanton, CA (USA)
- DOE Contract Number:
- AC03-81ER10858
- OSTI ID:
- 5088894
- Report Number(s):
- SAI-84-1572; ON: DE84008551
- Resource Relation:
- Other Information: Portions are illegible in microfiche products
- Country of Publication:
- United States
- Language:
- English
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