On MGR (Upsilon) Multigrid Methods.

Abstract

Multigrid methods are proving themselves as (very) successful tools for the solution of the algebraic equations associated with discretization of Elliptic Boundary-Value problems. Nevertheless, it seems we are just beginning to 'understand' this powerful idea. Hence, there is a need for continued probing, experimentation and new proofs - less for the sake of proof and more for the sake of insight. This report considers the extension to a general diffusion equation. In particular, for the two-grid scheme we reobtain the basic results indicate that other coefficients results carry over as well. Additional keywords: Algorithms; Linear algebraic equations; Problem solving; Estimates; Experimental data.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1985
Accession Number
ADA153887

Entities

People

  • D. Kamowitz
  • S. V. Parter

Organizations

  • University of Wisconsin Madison Department of Computer Science

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Classification
  • Coefficients
  • Computations
  • Computer Programs
  • Computer Science
  • Computers
  • Differential Equations
  • Diffusion
  • Diffusion Coefficient
  • Eigenvalues
  • Equations
  • Linear Algebraic Equations
  • Partial Differential Equations
  • Poisson Equation
  • Security

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.
  • Theoretical Analysis.