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Finite Element Method for Interior Problems

  • Charles W. Steele

Abstract

The finite element method has been used for several decades to obtain numerical solutions to different types of problems that arise in science and engineering. These problems include stress and strain in solid bodies, fluid flow, and heat flow. As a result, a number of books have been written about the application of the finite element method to these problems. In addition, several books have been written about the finite element method itself (Refs. 1, 2, 3, 4). And at least one book has as its subject the application of the finite element method to the computation of electric and magnetic fields (Ref. 5).

Keywords

Finite Element Method Dirichlet Boundary Condition Node Point Problem Domain Mixed Boundary Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Mitchel, A. R., and Wait, R.. The Finite Element Method in Partial Differential Equations. New York: John Wiley & Sons, 1977.Google Scholar
  2. 2.
    Zienkiewitz, O. C.. The Finite Element Method in Engineering Science. New York, McGraw-Hill Book Company, 1971.Google Scholar
  3. 3.
    Strang, G., and Fix, G. J.. An Analysis of the Finite Element Method. Englewood Cliffs, N.J.: Prentice-Hall, Inc., 1973.Google Scholar
  4. 4.
    Wexler, Alvin. Finite Elements for Technologists. Winnipeg: Electrical Engineering Department, University of Manitoba, 1974.Google Scholar
  5. 5.
    Chari, M. V. K., and Silvester, P. P., Editors. Finite Elements in Electrical and Magnetic Field Problems. New York: John Wiley & Sons, 1980.Google Scholar
  6. 6.
    Silvester, P. Symmetric Quadrature Formulae for Simplexes, Mathematics of Computation, January 1970, Vol. 24, No. 109.Google Scholar

Copyright information

© Van Nostrand Reinhold Company Inc. 1987

Authors and Affiliations

  • Charles W. Steele

There are no affiliations available

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