Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Hromadka, Theodore V.
Whitley, Robert J.
Hromadka, Theodore
Titre(s) : Foundations of the complex variable boundary element method [Texte électronique] / Theodore Hromadka, Robert Whitley
Publication : Cham ; New York : Springer, 2014
Description matérielle : 1 online resource
Collection : SpringerBriefs in Applied Sciences and Technology
Note(s) : Includes bibliographical references and index. - Print version record.
This book explains and examines the theoretical underpinnings of the Complex Variable
Boundary Element Method (CVBEM) as applied to higher dimensions, providing the reader
with the tools for extending and using the CVBEM in various applications. Relevant
mathematics and principles are assembled and the reader is guided through the key
topics necessary for an understanding of the development of the CVBEM in both the
usual two- as well as three- or higher dimensions. In addition to this, problems are
provided that build upon the material presented. The Complex Variable Boundary Element
Method (CVBEM) is an approximation method useful for solving problems involving the
Laplace equation in two dimensions. It has been shown to be a useful modelling technique
for solving two-dimensional problems involving the Laplace or Poisson equations on
arbitrary domains. The CVBEM has recently been extended to 3 or higher spatial dimensions,
which enables the precision of the CVBEM in solving the Laplace equation to be now
available for multiple dimensions. The mathematical underpinnings of the CVBEM, as
well as the extension to higher dimensions, involve several areas of applied and pure
mathematics including Banach Spaces, Hilbert Spaces, among other topics. This book
is intended for applied mathematics graduate students, engineering students or practitioners,
developers of industrial applications involving the Laplace or Poisson equations,
and developers of computer modelling applications
Sujet(s) : Éléments-frontières, Méthode des
Fonctions d'une variable complexe
Opérateurs linéaires
Ingénierie
Indice(s) Dewey :
515.7 (23e éd.) = Analyse fonctionnelle ; 620.106 4 (23e éd.) = Dynamique
Identifiants, prix et caractéristiques : ISBN 9783319059549
Identifiant de la notice : ark:/12148/cb446759722
Notice n° :
FRBNF44675972
(notice reprise d'un réservoir extérieur)
Table des matières : The Heat Equation ; Metric Spaces ; Banach Spaces ; Power Series ; The R2 Dirichlet
Problem ; The RN Dirichlet Problem.
