Solving the Biharmonic Equation in a Square: A Direct Versus a Semidirect Method.

Abstract

A direct method is compared with an iterative coupled equation approach for solving the biharmonic difference equation in a square. If there are N sup 2 unknowns, then the direct method requires (C sub 1)(N sup 3) operations compared to (C sub 2)(N sup 5/2) operations for the iterative approach with optimal relaxation, where C sub 1 and C sub 2 are constants. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1972
Accession Number
AD0742830

Entities

People

  • L. W. Ehrlich

Organizations

  • Johns Hopkins University Applied Physics Laboratory

Tags

DTIC Thesaurus Topics

  • Difference Equations
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics

Readers

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