THE CONSTRAINT METHOD FOR SOLID FINITE ELEMENTS

The p-version of the finite element method is a new approach to finite element analysis which has been demonstrated to lead to significant computational savings, often by orders of magnitude (This approach was formerly called the constraint method; the new term p-version is more descriptive). Conventional approaches (called the h-version) generally employ low order polynomials as basis functions. Accuracy is achieved by suitably refining the approximating mesh. The p-version uses polynomials of arbitrary order p greater than or equal to 2 for problems in plan elasticity where CO continuity is required and polynomials of order p greater than or equal to 5 for problems in plate bending where Cl continuity is required. Hierarchic elements which implement the p-version efficiently are used together with precomputed arrays of elemental stiffness matrices. CO solid elements of various shapes have been formulated. A major result that has recently been obtained on the convergence of the p-version of the finite element method is: in polynomial regions, the p-version converges approximately twice as fast as the h-version. (Author)

  • Corporate Authors:

    Washington University, St Louis

    Department of Systems Science and Mathematics
    St Louis, MO  USA  63130

    Air Force Office of Scientific Research

    Bolling AFB
    Washington, DC  USA  20332
  • Authors:
    • Katz, I N
  • Publication Date: 1979

Media Info

  • Pagination: 88 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00313671
  • Record Type: Publication
  • Source Agency: National Technical Information Service
  • Report/Paper Numbers: AFOSR-TR-80-0082
  • Contract Numbers: AFOSR-77-3312
  • Files: TRIS
  • Created Date: Jun 26 2003 12:00AM