The Complex Variable Boundary Element Method in Engineering Analysis

  • Theodore V. HromadkaII
  • Chintu Lai

Table of contents

  1. Front Matter
    Pages i-viii
  2. Theodore V. Hromadka II, Chintu Lai
    Pages 1-6
  3. Theodore V. Hromadka II, Chintu Lai
    Pages 53-100
  4. Theodore V. Hromadka II, Chintu Lai
    Pages 101-155
  5. Theodore V. Hromadka II, Chintu Lai
    Pages 156-209
  6. Theodore V. Hromadka II, Chintu Lai
    Pages 210-252
  7. Theodore V. Hromadka II, Chintu Lai
    Pages 253-294
  8. Theodore V. Hromadka II, Chintu Lai
    Pages 295-333
  9. Theodore V. Hromadka II, Chintu Lai
    Pages 334-374
  10. Back Matter
    Pages 375-389

About this book

Introduction

The Complex Variable Boundary Element Method (CVBEM) has emerged as a new and effective modeling method in the field of computational mechanics and hydraulics. The CVBEM is a generalization of the Cauchy integral formula into a boundary integral equation method. The model­ ing approach by boundary integration, the use of complex variables for two-dimensional potential problems, and the adaptability to now-popular microcomputers are among the factors that make this technique easy to learn, simple to operate, practical for modeling, and efficient in simulating various physical processes. Many of the CVBEM concepts and notions may be derived from the Analytic Function Method (AFM) presented in van der Veer (1978). The AFM served as the starting point for the generalization of the CVBEM theory which was developed during the first author's research engagement (1979 through 1981) at the University of California, Irvine. The growth and expansion of the CVBEM were subsequently nurtured at the U. S. Geological Survey, where keen interest and much activity in numerical modeling and computational mechanics-and-hydraulics are prevalent. Inclusion of the CVBEM research program in Survey's computational-hydraulics projects, brings the modeling researcher more uniform aspects of numerical mathematics in engineering and scientific problems, not to mention its (CVBEM) practicality and usefulness in the hydrologic investigations. This book is intended to introduce the CVBEM to engineers and scientists with its basic theory, underlying mathematics, computer algorithm, error analysis schemes, model adjustment procedures, and application examples.

Keywords

Approximation algorithm calculus computational mechanics computer development engineering mechanics hydraulics mathematical modeling mathematics mechanics model modeling transport

Authors and affiliations

  • Theodore V. HromadkaII
    • 1
  • Chintu Lai
    • 2
  1. 1.Department of MathematicsCalifornia State UniversityFullertonUSA
  2. 2.U.S. Geological Survey, National CenterRestonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-4660-2
  • Copyright Information Springer-Verlag New York 1987
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-9103-9
  • Online ISBN 978-1-4612-4660-2
  • About this book