A Survey of Trial Free-Boundary Methods for the Numerical Solution of Free Boundary Problems.

Abstract

A free boundary problem is a (steady-state) boundary value problem involving differential equations on domains parts of whose boundaries, the free boundaries, are unknown and must be determined as part of the solution. A trial free-boundary method is a numerical method for solving free boundary problems in which the boundary is found by guessing the position of the boundary, solving a boundary-value problem in the resulting region, and using this solution to find a new guess for the position of the boundary, the procedure being repeated until the desired accuracy has been attained. This report gives a comprehensive survey of trial free-boundary methods. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1976
Accession Number
ADA034472

Entities

People

  • Colin Walker Cryer

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Carbonate Esters
  • Civil Engineering
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Finite Element Analysis
  • Fluid Flow
  • Fluid Mechanics
  • Geometry
  • Groundwater
  • Integral Equations
  • Mechanical Properties
  • Mechanics
  • Numerical Analysis
  • Water Resources

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis