A Rationale for p-Refinement with the Vector Helmholtz Equation and Two Dimensional Vector Finite Elements

Abstract

A preliminary study of p-refinement with vector finite elements is reported. Results suggest that improved accuracy can be obtained from representations employing a mixture of polynomial orders instead of a uniform polynomial order. Results also suggest that it might be possible to jump directly from the local error in a p=0 expansion to a final representation employing 5 or more polynomial orders. In addition, a new set of hierarchical curl-conforming vector basis functions is proposed.

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Document Details

Document Type
Technical Report
Publication Date
Jul 02, 2004
Accession Number
ADA438629

Entities

People

  • Andrew F. Peterson
  • R. S. Preissig

Organizations

  • Georgia Tech

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Discontinuities
  • Elements
  • Equations
  • Errors
  • Finite Element Analysis
  • Frequency
  • Geometry
  • Helmholtz Equations
  • Optimization
  • Polynomials
  • Resonant Frequency
  • Standards
  • Transition Metals
  • Transitions
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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