Linear Laplace/Poisson Equation

  • Akpofure E. Taigbenu


A good starting point to derive and apply the Green element method is to use a simple second-order ordinary differential equation, and the Laplace/Poisson equation, which is encountered in many engineering applications, serves that purpose.


Boundary Element Boundary Element Method Dirac Delta Function Green Element Boundary Element Formulation 
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    Reddy, J.N., An Introduction to the Finite Element Method, McGraw-Hill, Inc., New York, 1984.Google Scholar
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    Brebbia, C.A., The Boundary Element Method for Engineers, Pentech Press, London, Halsted Press, New York, 1978.Google Scholar
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    Gipson G.S., Boundary Element Fundamentals - Basic Concepts and Recent Developments in Poisson Equation, Computational Mechanics Publications, Southampton, UK and Boston, USA, 1987.Google Scholar
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    Liggett, J.A. and L-F. Liu, The Boundary Integral Equation Method for Porous Media Flow, Allen & Unwin, London, UK., 1983.Google Scholar
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    Abramowitz, M. and I.A. Stegun, Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, 1970.Google Scholar

Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Akpofure E. Taigbenu
    • 1
  1. 1.Department of Civil and Water EngineeringNational University of Science and TechnologyBulawayoZimbabwe

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