Another Strategy for Fast 'Poisson' Solving with Non-Constant Coefficients.

Abstract

The key to fast Poisson solving in an extended domain is nonlocal residual error dispersal. The fastest, most stable iterations are obtained when 'most' of the nonconstant-coefficient elliptic operator can be inverted implicitly . Although local inversion approaches (ICCG, SOR, etc.) are workable, there are good incentives to seek computationally inexpensive nonlocal techniques whose worst case convergence is expected to be far better than for local inverse techniques. This note presents one such approach for a useful class of variable coefficient problems. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 09, 1982
Accession Number
ADA113769

Entities

People

  • Jay Paul Boris

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Coefficients
  • Computational Science
  • Convergence
  • Difference Equations
  • Equations
  • Fluid Dynamics
  • Inversion
  • Iterations
  • Military Research
  • Poisson Equation
  • Residuals
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)