An Adaptive Mesh Algorithm for Solving Systems of Time Dependent Partial Differential Equations.

Abstract

This thesis discusses and adaptive mesh algorithm that can be used with a finite difference or finite element scheme to solve initial-boundary value problems for vector systems of time dependent partial differential equations in two space dimensions. This algorithm combines the adaptive technique of mesh moving, static rezoning, and local mesh refinement. The nodes of a coarse mesh of quadrilateral cells are moved by a simple algebraic node movement function. The local mesh refinement method recursively divides cells of the moving coarse mesh within clustered regions that contain nodes with large error until a user prescribed error tolerance is satisfied. Keywords: Hyperbolic equations; Expert systems; and Computations.

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1985
Accession Number
ADA161822

Entities

People

  • David C. Arney

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Computations
  • Differential Equations
  • Equations
  • Expert Systems
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Real Variables

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Space