Foundations of the Complex Variable Boundary Element Method by Theodore HromadkaFoundations of the Complex Variable Boundary Element Method by Theodore Hromadka

Foundations of the Complex Variable Boundary Element Method

byTheodore Hromadka, Robert Whitley

Paperback | May 21, 2014

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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.
Dr. Theodore V. Hromadka, II is a Professor of Mathematics at the Department of Mathematical-Sciences at the United States Military Academy, West Point, New York. He has been Principal Engineer and Hydrologist for nearly 15 years at the consulting firm Hromadka & Associates in Rancho Santa Margarita, California. He holds several profes...
Title:Foundations of the Complex Variable Boundary Element MethodFormat:PaperbackDimensions:80 pagesPublished:May 21, 2014Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:331905953X

ISBN - 13:9783319059532

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Table of Contents

The Heat Equation.- Metric Spaces.- Banach Spaces.- Power Series.- The R2Dirichlet Problem.- The RNDirichlet Problem.