On K-Line and K x K Block Iterative Schemes for a Problem Arising in 3-D Elliptic Difference Equations.

Abstract

Novel computer architectures and a desire to solve three-dimensional problems have together aroused new interest in iterative methods for computing solutions to elliptic difference equations. Block iterative methods are particularly attractive for vector machines, such as the CRAY-1. Plane iterative schemes reduce a three-dimensional elliptic system to two-dimensional systems. We analyze the convergence rate of k-line and k x k block iterative methods for solving these two-dimensional problems. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1980
Accession Number
ADA082390

Entities

People

  • Michael Steuerwalt
  • Seymour V. Parter

Organizations

  • University of Wisconsin Madison Department of Computer Science

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Computer Architecture
  • Computer Science
  • Computers
  • Difference Equations
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Finite Element Analysis
  • New York
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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