Accession Number:

ADA149026

Title:

New Methods for Numerical Solution of One Class of Strongly Nonlinear Partial Differential Equations with Applications in Hydrodynamics.

Descriptive Note:

Final rept. 1 Sep 83-31 Aug 84,

Corporate Author:

EMORY UNIV ATLANTA GA DEPT OF MATHEMATICS AND COMPUTER SCIENCE

Personal Author(s):

Report Date:

1984-10-01

Pagination or Media Count:

5.0

Abstract:

This effort studied a proposed numerical method for finding elliptic solutions of the Monge-Ampere equations, in the context of hydrodynamic and antenna design applications. Some computational experiments were performed on representative model problems. A theoretical estimate for the convergence rate of one part of the scheme was obtained. For the problem of reflector antenna design, the solvability of the corresponding linearized problem was demonstrated. A geometric interpretation of the solution was obtained which helps in understanding the problem.

Subject Categories:

  • Electrical and Electronic Equipment
  • Numerical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE