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

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.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1984
Accession Number
ADA149026

Entities

People

  • P. Waltman
  • V. Oliker

Organizations

  • Emory University

Tags

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Classification
  • Computations
  • Computers
  • Convergence
  • Differential Equations
  • Equations
  • Hydrodynamics
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Real Variables
  • Security
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)