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 Integral Equation Methods and Numerical Solutions
    sub title: Thin Plates on an Elastic Foundation
  name:
    name part: Constanda, Christian.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Doty, Dale.
    role:
      role term: author.
  name:
    name part: Hamill, William.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2016
    edition: 1st ed. 2016.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 232 p. 251 illus., 196 illus. in color. online resource.
  abstract: This book presents and explains a general, efficient, and elegant method for solving the Dirichlet, Neumann, and Robin boundary value problems for the extensional deformation of a thin plate on an elastic foundation. The solutions of these problems are obtained both analytically—by means of direct and indirect boundary integral equation methods (BIEMs)—and numerically, through the application of a boundary element technique. The text discusses the methodology for constructing a BIEM, deriving all the attending mathematical properties with full rigor. The model investigated in the book can serve as a template for the study of any linear elliptic two-dimensional problem with constant coefficients. The representation of the solution in terms of single-layer and double-layer potentials is pivotal in the development of a BIEM, which, in turn, forms the basis for the second part of the book, where approximate solutions are computed with a high degree of accuracy. The book is intended for graduate students and researchers in the fields of boundary integral equation methods, computational mechanics and, more generally, scientists working in the areas of applied mathematics and engineering. Given its detailed presentation of the material, the book can also be used as a text in a specialized graduate course on the applications of the boundary element method to the numerical computation of solutions in a wide variety of problems. .
  table of contents: Preface -- 1. The Mathematical Model -- 2. The Layer Potentials -- 3. Existence of Solutions -- 4. Software Development -- 5. Computational Examples -- References -- Index.
  note: by Christian Constanda, Dale Doty, William Hamill.
  subject:
    topic: Mathematics
  subject:
    topic: Functions of complex variables
  subject:
    topic: Integral equations
  subject:
    topic: Partial differential equations
  subject:
    topic: Mathematics
  subject:
    topic: Integral Equations
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Functions of a Complex Variable
  classification: QA431
  classification: 515.45
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Developments in Mathematics, 35
  identifier: 9783319263090
  identifier: http://dx.doi.org/10.1007/978-3-319-26309-0
  record info:
    record creation date: 160316
    record change date: 20160316194331.0
    record identifier: 978-3-319-26309-0