The p and h-p Versions of the Finite Element Method; State of the Art.

Abstract

There are three versions of the finite element method. The classical h- version achieves accuracy by refining the mesh while using low degrees p of the elements, usually p = 1, 2. The p-version keeps the mesh fixed and the accuracy is achieved by increasing the degree p. The h-p version combines both approaches. Although the p and h-p versions of the finite element method are relatively new developments, many basic results are available. The aim of this paper is to give a survey of the basic available results and directions for further development. The paper tries to survey basic theoretical implementational and computational aspects of the method as of today.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1986
Accession Number
ADA173496

Entities

People

  • Ivo Babuška

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Computers
  • Differential Equations
  • Engineering
  • Equations
  • Expert Systems
  • Finite Element Analysis
  • Fluid Mechanics
  • Mathematics
  • Mechanics
  • Numerical Analysis
  • Partial Differential Equations
  • Physical Sciences
  • Stress Intensity Factors
  • Universities

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design