A Sixth-Order Accurate Direct Solver for the Poisson and Helmholtz Equations.

Abstract

An O(h6) accurate direct solver is described for a class of separable elliptic equations in (r,0) coordinates with periodic conditions in 0. A discrete Fourier transform is used in 0, and the Hermite 6 discretization of Rubin and Khosla is used in r. A single deferred correction at boundary points gives the O(h6) accuracy, in O(N21nN) operations for an NxN problem. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1978
Accession Number
ADA062952

Entities

People

  • Patrick J. Roache

Tags

Communities of Interest

  • Air Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aeronautics
  • Aircrafts
  • Applied Mathematics
  • Applied Mechanics
  • Computational Science
  • Discrete Fourier Transforms
  • Engineering
  • Equations
  • Helmholtz Equations
  • Jet Propulsion
  • Mathematical Analysis
  • Mechanical Engineering
  • Mechanics
  • Military Research
  • New York
  • Turbulent Mixing
  • United States

Fields of Study

  • Mathematics

Readers

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