Vectorization and Implementation of an Efficient Multigrid Algorithm for the Solution of Elliptic Partial Differential Equations

Abstract

Multilevel adaptive techniques are powerful methods for solving many types of problems in computational physics. In his analysis of multilevel methods for application to elliptic boundary-value problems, Douglas found a particularly efficient algorithm for their solution. This report describes a vectorized, finite-difference implementation of his algorithm suitable for use in large-scale computations.

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Document Details

Document Type
Technical Report
Publication Date
Dec 31, 1984
Accession Number
ADA149049

Entities

People

  • C. R. Devore

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Classification
  • Computer Programs
  • Computers
  • Core Storage
  • Difference Equations
  • Differential Equations
  • Equations
  • Interpolation
  • Military Research
  • Numerical Analysis
  • Parallel Computing
  • Parallel Processing
  • Parallel Processors
  • Partial Differential Equations
  • Poisson Equation
  • Security

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Fluid Dynamics.