Mathematical Development of the Complex Variable Boundary Element Method

  • Theodore V. HromadkaII
  • Chintu Lai


In this chapter, the underlying mathematics for the CVBEM will be systematically and rigorously developed. For the subsequent formulation of a workable computer algorithm, two basic approximations are made to the familiar classic Cauchy integral formula; the discretization of the problem boundary and the representation of the exact function by a trial function for boundary integration.


Boundary Element Approximation Function Boundary Element Method Nodal Point Matrix System 
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Copyright information

© Springer-Verlag New York Inc. 1987

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

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