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:
    title: Boundary element methods for nonlinear elliptic boundary value problems
  name:
    name part: Deng, Yuanhua
    name part: 1960-
    role:
      role term: creator
  name:
    name part: Chen, Goong
    role:
      role term: degree supervisor.
  name:
    name part: Zhou, Jianxin
    role:
      role term: degree supervisor.
  name:
    name part: Lazarov, Raytcho
    role:
      role term: degree committee member.
  name:
    name part: Morgan, Jeffrey J.
    role:
      role term: degree committee member.
  name:
    name part: Kozik, Thomas J.
    role:
      role term: degree committee member.
  name:
    name part: Texas A & M University
    role:
      role term: degree granting institution.
  type of resource: text
  genre: bibliography
  genre: Academic theses
  origin info:
    place:
      place term: xx
    date issued: 1994
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: print
    extent: vii, 75 leaves : illustrations ; 28 cm
  abstract: It is well known th a t the m ethod of subsolutions and supersolutions for semilinear elliptic boundary value problems leads to a monotone iteration scheme, which can serve as a numerical algorithm. In this dissertation, the monotone iteration scheme implemented numerically through an indirect boundary element m ethod is analyzed. It is found th at the sequence of simple layer densities in this boundary element - m onotone iteration is of antimonotone property. Meanwhile, a working assum ption [H] is formulated to obtain a rate of convergence and allow an arbitrary small margin 8 for the numerical im plementation of boundary elements within the range of monotone convergence. Based on the Aubin-Nitsche lemma and the triangle inequalities, optim al order error estim ates for the Galerkin boundary element iterates with respect to the norms of the Sobolev spaces # r (0 ), 0 < r < 2, are derived by relating several approxim ate solutions. Furtherm ore, as a peculiarity, it is shown th at for the nonlinearities th a t are of separable type, "higher than optimal order" error estim ates can be obtained with respect to the mesh param eter h. F inally, several examples of semilinear elliptic partial differential equations featuring different situations of existence, uniqueness, m ultiplicity and stability are discussed, com puted, and the graphics of their numerical solutions are also illustrated.
  note: by Yuanhua Deng.
  note: Vita.
  note: "Major subject: Mathematics."
  note: Includes bibliographical references.
  note: Ph. D. Texas A & M University 1994
  subject:
    topic: Major mathematics
  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: 960531
    record change date: 20200904152729.0
    record identifier: in00001298910
    language of cataloging:
      language term: eng