ITERATION METHODS FOR NONLINEAR PROBLEMS
Technical Report
·
OSTI ID:4840150
The methods of successive displacements or relaxation methods are investigated for a class of nonlinear problems. In particular it is shown that these methods are applicable to a large class of nonlinear problems arising from variational problems which yield elliptic equations. Constructive existence and uniqueness theorems are presented for the discrete problem and criteria are given for a practical method of obtaining solutions. The example of a discrete Plateau problem is used to illustrate the feasibility of the results. The processes are also shown to apply to uniformly elliptic problems. (auth)
- Research Organization:
- New York Univ., New York. Atomic Energy Commission Computing and Applied Mathematics Center
- NSA Number:
- NSA-15-031101
- OSTI ID:
- 4840150
- Report Number(s):
- NYO-9497
- Country of Publication:
- United States
- Language:
- English
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