The finite element method

The finite element method: an introduction with partial differential equations

by Davies, Alan J.

Type Book
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An introduction to the application of the finite element method to the solution of boundary and initial-value problems posed in terms of partial differential equations. Contains worked examples throughout and each chapter has a set of exercises with detailed solutions.

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Title Statements

  • Full title :The finite element method : an introduction with partial differential equations / A.J. Davies.

Summary

An introduction to the application of the finite element method to the solution of boundary and initial-value problems posed in terms of partial differential equations. Contains worked examples throughout and each chapter has a set of exercises with detailed solutions.

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Edition Statements

  • Publication Date:2011.
  • Edition:2nd ed

Publication Statements

The Physical Object

  • Description:ix, 297 pages : : illustrations ; : 25 cm

Edition Identifiers

  • ISBN:9780199609130, 0199609136
  • oclc:ocn732847901
  • LC Classification:TA347.F5
  • Dewey Decimal:518/.25

Table of Contents

1. Historical introduction -- 2. Weighted residual and variational methods -- 3. The finite element method for elliptical problems -- 4. Higher-order elements: the isoparametric concept -- 5. Further topics in the finite element method -- 6. Convergence of the finite element method -- 7. The boundary element method -- 8. Computational aspects -- 9. References -- Appendices -- A. Partial differential equation models in the physical sciences -- B. Some integral theorems of the vector calculus -- C.A formula for integrating products of area coordinates over a triangle -- D. Numerical integration formulae -- E. Stehfest's formula and weights for numerical Laplace transform inversion.

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Subjects

Finite element method Finite-Elemente-Methode Méthode des éléments finis

Writers

Davies, Alan J.

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