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: Advanced Boundary Element Methods
    sub title: Treatment of Boundary Value, Transmission and Contact Problems
  name:
    name part: Gwinner, Joachim.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Stephan, Ernst Peter.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2018
    edition: 1st ed. 2018.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVIII, 652 p. 69 illus., 18 illus. in color. online resource.
  abstract: This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems. It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods - efficient computational tools that have become extremely popular in applications. Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research. The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students.
  table of contents: 1 Introduction -- 2 Some Elements of Potential Theory -- 3 A Fourier Series Approach -- 4 Mixed BVPs, Transmission Problems and Pseudodifferential Operators -- 5 The Signorini Problem and More Nonsmooth BVPs and Their Boundary Integral Formulation -- 6 A Primer to Boundary Element Methods -- 7 Advanced BEM for BVPs in Polygonal/Polyhedral Domains: h- and p-Versions -- 8 Exponential Convergence of hp-BEM -- 9 Mapping Properties of Integral Operators on Polygons -- 10 A-BEM -- 11 BEM for Contact Problems -- 12 FEM-BEM Coupling -- 13 Time-Domain BEM -- A Linear Operator Theory -- B Pseudodifferential Operators -- C Convex and Nonsmooth Analysis, Variational Inequalities -- D Some Implementation for BEM -- References -- Index.
  note: by Joachim Gwinner, Ernst Peter Stephan.
  subject:
    topic: Integral equations
  subject:
    topic: Numerical analysis
  subject:
    topic: Partial differential equations
  subject:
    topic: Calculus of variations
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Mathematical physics
  subject:
    topic: Integral Equations
  subject:
    topic: Numerical Analysis
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  subject:
    topic: Mathematical and Computational Engineering
  subject:
    topic: Theoretical, Mathematical and Computational Physics
  classification: QA431
  classification: 515.45
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Series in Computational Mathematics, 52
  identifier: 9783319920016
  identifier: https://doi.org/10.1007/978-3-319-92001-6
  record info:
    record creation date: 180728
    record change date: 20191022102313.0
    record identifier: 978-3-319-92001-6