An Extension of Mesh Equidistribution to Time-Dependent Partial Differential Equations

Abstract

Mesh equidistribution for static approximation problems is extended to a domain that admits time dependency. Instead of some quantity being equidistributed over a static mesh, the change in this quantity is equidistributed over a dynamic, moving mesh. Applications are for utilization in numerical methods to solve time-dependent partial differential equations. This mesh moving scheme is incorporated into a finite element code which already refines adaptively. Comparisons are made for stationary and moving meshes.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1991
Accession Number
ADA239579

Entities

People

  • J. M. Coyle

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Applied Mathematics
  • Boundary Value Problems
  • Classification
  • Differential Equations
  • Engineering
  • Equations
  • Errors
  • Intervals
  • Law
  • Mathematics
  • Military Research
  • Partial Differential Equations
  • Security
  • Systems Analysis
  • Trajectories

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation
  • Computer Vision.