Advances in the Complex Variable Boundary Element Method

Theodore V. Hromadka, Robert J. Whitley (Autoren)

Buch | Hardcover

XIV, 390 Seiten

1997
Springer Berlin (Verlag)
978-3-540-76194-5 (ISBN)

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Since its inception by Hromadka and Guymon in 1983, the Complex Variable Boundary Element Method or CVBEM has been the subject of several theoretical adventures as well as numerous exciting applications. The CVBEM is a numerical application of the Cauchy Integral theorem (well-known to students of complex variables) to two-dimensional potential problems involving the Laplace or Poisson equations. Because the numerical application is analytic, the approximation exactly solves the Laplace equation. This attribute of the CVBEM is a distinct advantage over other numerical techniques that develop only an inexact approximation of the Laplace equation. In this book, several of the advances in CVBEM technology, that have evolved since 1983, are assembled according to primary topics including theoretical developments, applications, and CVBEM modeling error analysis. The book is self-contained on a chapter basis so that the reader can go to the chapter of interest rather than necessarily reading the entire prior material. Most of the applications presented in this book are based on the computer programs listed in the prior CVBEM book published by Springer-Verlag (Hromadka and Lai, 1987) and so are not republished here.

Overview of the CVBEM.- Advanced CVBEM Topics; Variable/High Order Basis Functions; Multiply Connected Domains/Regions; Two Dimensional Problems.- Applications of the CVBEM in Mathematics, Science and Engineering; Computer Interaction; Groundwater Containment Transport; Geothernal Models; Freezing Fronts; Numerical Errors - Domain Heat Transport Models; Ice Segregation; Slow-Moving Interface Problems; Parabolic Equations.- Topics of Numerical Analysis; Expansion Using Fractals; Matrix System; Logarithms.- Numerical Error Analysis; Partial Differential Equations; Error Analysis; Collocation Points; Locating / Relative Error.- Appendix A.- Appendix B.- Author Index.- Index.

Erscheint lt. Verlag	26.11.1997
Zusatzinfo	XIV, 390 p.
Verlagsort	London
Sprache	englisch
Maße	156 x 234 mm
Gewicht	710 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie
	Technik
Schlagworte	Calculus • differential equation • Hydraulics • linear optimization • Mechanics • Numerical analysis • partial differential equation • Randelementmethode • Randelementmethode / Boundary-Elemente
ISBN-10	3-540-76194-2 / 3540761942
ISBN-13	978-3-540-76194-5 / 9783540761945
Zustand	Neuware