TY  - BOOK
AU  - Hromadka,Theodore
AU  - Whitley,Robert
ED  - SpringerLink (Online service)
TI  - Foundations of the Complex Variable Boundary Element Method
T2  - SpringerBriefs in Applied Sciences and Technology,
SN  - 9783319059549
AV  - TA357-359 
U1  - 620.1064 23
PY  - 2014///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - engineering
KW  - Computer simulation
KW  - Hydraulic engineering
KW  - Engineering
KW  - Engineering Fluid Dynamics
KW  - Simulation and Modeling
KW  - Mathematical Modeling and Industrial Mathematics
N1  - The Heat Equation -- Metric Spaces -- Banach Spaces -- Power Series -- The R2 Dirichlet Problem -- The RN Dirichlet Problem
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-319-05954-9
ER  -