Another Look at Iterative Methods for Elliptic Difference Equations.

Abstract

Iterative methods for solving elliptic difference equations have received new attention because of the recent advent of novel computer architectures and a growing interest in three-dimensional problems. The fundamental characteristic of an iterative method is its rate of convergence. We present here, in the context of the model problem in two and three dimensions, a very simple theory for determining the rates of convergence of block iterative schemes. This theory is easily extended to general domains, general elliptic problems, and higher dimensions. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1979
Accession Number
ADA082391

Entities

People

  • Michael Steuerwalt
  • Seymour V. Parter

Organizations

  • University of Wisconsin Madison Department of Computer Science

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Computer Architecture
  • Computer Science
  • Computers
  • Computing Devices
  • Difference Equations
  • Differential Equations
  • Eigenvalues
  • Equations
  • Mathematical Analysis
  • Parallel Processors
  • Poisson Equation
  • Sparse Matrix
  • Splitting
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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