Generalized Finite Element Methods: Main Ideas, Results, and Perspective

Abstract

This paper is an overview of the main ideas of the Generalized Finite Element Method (GFEM). We present the basic results, experiences with, and potentials of this method. The GFEM is a generalization of the classical Finite Element Method in its h, p, and h-p versions as well as of the various forms of meshless methods used in engineering.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2004
Accession Number
ADA438200

Entities

People

  • Ivo Babuška
  • John E. Osborn
  • Uday Banerjee

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Coefficients
  • Composite Materials
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Conformal Mapping
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Galerkin Method
  • Geometry
  • Linear Systems
  • Mathematical Analysis
  • Mathematics
  • Numerical Integration
  • Theorems

Fields of Study

  • Engineering

Readers

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