Recent Progress in the p and h-p Version of the Finite Element Method.

Abstract

The finite element method has become the main tool in computational mechanics. The success is manifested by the development of over five hundred user-oriented finite element program systems. The literature on the subject is overwhelming. To date there are over two hundred monographs and conference proceedings and new monographs and proceedings are continuously appearing. Various forms of the finite element method are used in practice for the numerical treatment of elliptic, parabolic, hyperbolic, linear and nonlinear partial differential equations, integral and integrodifferential equations, etc. Any class of problems has its own specific features. This paper deals with the class of partial differential equation of elliptic type. For the sake of simplicity the author elaborates on a characteristic model problem and illustrative results and makes only additional comments of more general nature although the results referred to are general.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1987
Accession Number
ADA187254

Entities

People

  • Ivo Babuška

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Computational Complexity
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Differential Equations
  • Eigenvalues
  • Elastic Properties
  • Equations
  • Expert Systems
  • Finite Element Analysis
  • Fluid Dynamics
  • Mechanics
  • Partial Differential Equations
  • Physical Sciences
  • Standards
  • Structural Mechanics
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Academic Conference Management
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Theoretical Analysis.