New Methods for Numerical Solution of One Class of Strongly Nonlinear Partial Differential Equations with Applications in Hydrodynamics.
Final rept. 1 Sep 83-31 Aug 84,
EMORY UNIV ATLANTA GA DEPT OF MATHEMATICS AND COMPUTER SCIENCE
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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.
- Electrical and Electronic Equipment
- Numerical Mathematics
- Fluid Mechanics