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: Isogeometric analysis and non-polynomial enrichment for finite element methods in acoustics
  name:
    name part: Mohamed, M. Shadi
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Diwan, Ganesh
    role:
      role term: author.
  type of resource: text
  origin info:
    place:
      place term: flu
    date issued: 2026
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (72 pages) : illustrations (colour)
  abstract: In computational acoustics, standard Finite Element Methods (FEM) face severe limitations when modelling high-frequency wave propagation. As the wavenumber increases, fixed discretization levels lead to rapid growth in pollution error, rendering standard solutions inaccurate.This book addresses this critical challenge by exploring advanced discretization strategies, including high-order polynomial-based Finite Elements, Isogeometric Analysis (IGA) using Non-Uniform Rational B-Splines (NURBS), and Enriched Finite Elements incorporating oscillatory basis functions (Partition of Unity).Beyond homogeneous media, the text extends these high-order approximation techniques to heterogeneous acoustic environments with spatially varying wave speeds. It details the mathematical foundations of pollution error quantification, the construction of enriched basis functions, and the performance of preconditioned iterative solvers. This book is an essential resource for engineers and researchers seeking to overcome the limitations of classical FEM in industrial acoustic applications.
  note: M. Shadi Mohamed, Ganesh Diwan.
  subject:
    topic: Acoustical engineering
    topic: Mathematics
  subject:
    topic: Finite element method
  subject:
    topic: Isogeometric analysis
  subject:
    topic: Sound
    topic: Mathematics
  subject:
    topic: Acoustique appliquée
    topic: Mathématiques
  subject:
    topic: Méthode des éléments finis
  subject:
    topic: Analyse isogéométrique
  subject:
    topic: Acoustical engineering
    topic: Mathematics
  subject:
    topic: Finite element method
  subject:
    topic: Isogeometric analysis
  subject:
    topic: Sound
    topic: Mathematics
  classification: 620.20151825
  identifier: 9781040739389
  identifier: 1040739385
  identifier: 9781003143710
  identifier: 1003143717
  identifier: 9781040472699
  identifier: 1040472699
  identifier: 9781003143710 Taylor & Francis
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: UKMGB
    record creation date: 251209
    record change date: 20260511202541.3
    record identifier: in00005781597
    language of cataloging:
      language term: eng