Performance of the h-p Version of the Finite Element Method with Various Elements

Abstract

The paper addresses the performance of square elements of type Q(p) and Q'(p) . (The Q(p) resp. Q'(p) are elements of degree p analogous to the well known 9 and 8 noded elements for p = 2.) The performance is analyzed theoretically for the class of analytic functions. Numerical experiments confirm the conclusions drawn from the theory. The computational complexity of a solution algorithm is studied using timings of the computation on an Alliant FX/8 computer. The data show that high order elements are preferable.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1991
Accession Number
ADA250689

Entities

People

  • H. C. Elman
  • Ivo Babuška

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Analytic Functions
  • Complex Variables
  • Computational Complexity
  • Computations
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Mathematics
  • Military Research
  • New York
  • Nonlinear Differential Equations
  • Numerical Analysis
  • Partial Differential Equations
  • Physical Sciences
  • Research Facilities

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Operations Research
  • Parallel and Distributed Computing.