rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    non sort: A
    title: high performance iterative solution procedure for solving problems in structural mechanics using the finite element method
  name:
    name part: Mitchell, John A.
    name part: 1963-
    role:
      role term: creator
  type of resource: text
  genre: bibliography
  origin info:
    place:
      place term: xx
    date issued: 1997
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: print
    extent: xiv, 150 leaves : illustrations ; 28 cm.
  abstract: The preconditioned conjugate gradient (PCG) algorithm is
  abstract: widely accepted and used as a method for solving the
  abstract: algebraic equations arising from finite element
  abstract: discretizations of problems in structural mechanics. The
  abstract: advantages of the algorithm are its ease of implementation,
  abstract: low storage requirements, and its rate of convergence. These
  abstract: features are available provided a good preconditioner is
  abstract: given. In this study, a multilevel, recursively defined
  abstract: preconditioner, for use with the PCG algorithm is developed,
  abstract: implemented and tested. The preconditioner is constructed
  abstract: from a sequence of hierarchical vec tor spaces arising from
  abstract: the p version of the finite element method, and has been
  abstract: applied to the linearized elasticity equations in both two
  abstract: and three dimensions. It may also be applied to other model
  abstract: problems in structural mechanics such as equivalent single
  abstract: layer plate and shell theories. Numerical studies have been
  abstract: conducted using quadrilateral elements for two dimensional
  abstract: problems up to p = 8, and in three dimensions, serendipity
  abstract: brick elements were used up to p = 5. Various numerical
  abstract: studies were performed on laminated plates, subjected to
  abstract: bending and torsional loads, in order to assess the
  abstract: efficiency of the iterative procedure. The effects of
  abstract: element span ratios, stopping criterion, polynomial order,
  abstract: orthotropic material properties, and plate span ratios, on
  abstract: the number of iterations required for convergence has been
  abstract: investigated. Results indicate that the preconditioner can
  abstract: be used to produce an efficient iterative solver for problems
  abstract: in structural mechanics.
  note: by John A. Mitchell.
  note: Vita.
  note: "Major Subject: Mechanical Engineering".
  note: Issued also on microfiche from University Microfilms Inc.
  note: Includes bibliographical references: pages 125-135.
  note: Ph. D. Texas A&M University 1997.
  subject:
    topic: Major mechanical engineering
  identifier: 98-00782 UMI
  identifier: http://proxy.library.tamu.edu/login
  related item:
    location:
      url: http://proxy.library.tamu.edu/login
  record info:
    record content source: TXA
    record creation date: 980407
    record change date: 20190325093501.0
    record identifier: in00001415199