Symbolic computation and the finite element method

  • John Fitch
  • Richard Hall
Applications And Systems
Part of the Lecture Notes in Computer Science book series (LNCS, volume 378)


The FESTER system uses an amalgamation of sections of BCPL, REDUCE and FORTRAN for the region definition, construction of minimisation principle and trial functions, and eventual solution. They produce a harmonious whole which can solve a class of partial differential equations with a minimum of assistance.


Finite Element Method Trial Function Symbolic Computation Minimisation Principle Linear Partial Differential Equation 
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.


  1. Coons, S. A. (1967) Surfaces for computer-aided design of space forms, MAC-TR-41, Project MAC.Google Scholar
  2. Fitch, J. P. and Hall, R. G. (1988) The Minimum Degree of a Three Dimensional C (1) Trail Function, in preparation.Google Scholar
  3. Gates, B. L. (1986) GENTRAN, Proc. SYMSAC '86, Waterloo, Ontario.Google Scholar
  4. Gill, J. I. (1972) Computer-aided design of shell structures using the finite element method, Ph.D. Thesis, University of Cambridge.Google Scholar
  5. Hall, R. G. (1981) Symbolic Computation and the Finite Element Method, Ph.D. Thesis, University of Cambridge.Google Scholar
  6. Laug, P. and Vidrascu, M. (1985) The MODULEF Finite Element Library, Proc. IFIP WG2.5 Working Conference 4, Sophia-Antipolis, France.Google Scholar
  7. Norman, A. C. (1972) A System for the Solution of Initial and Two-point Boundary Value problems, Proc. ACM 25th Anniversary Conference 2 pp826–834.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • John Fitch
    • 1
  • Richard Hall
    • 2
  1. 1.School of Mathematical SciencesUniversity of BathUK
  2. 2.South West Universities Regional Computing CentreBath

Personalised recommendations