An Improved Finite Element Formulation Derived from the Method of Weighted Residuals.

Abstract

By replacing the residual with its least-squares fit an improvement has been made to the Method of Weighted Residuals. For finite element applications the least-squares fit is made on an element basis. The improved formulation is illustrated by a number of examples drawn mainly from fluid-flow problems. The new formulation is closely related to the use of reduced integration and detailed comparisons with both exact and reduced integration are presented. The present formulation produces superior results to the use of reduced integration for some problems and formulations particularly when used with quadratic triangular elements. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1977
Accession Number
ADA048026

Entities

People

  • C. A. J. Fletcher

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Analytic Functions
  • Boundaries
  • Differential Equations
  • Engineering
  • Equations
  • Finite Element Analysis
  • Flow
  • Flow Fields
  • Fluid Flow
  • Galerkin Method
  • Incompressible Flow
  • Inviscid Flow
  • Mechanics
  • Numerical Integration
  • Residuals
  • Two Dimensional
  • Viscous Flow

Fields of Study

  • Mathematics

Readers

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