1.15 Summary
The basic finite element procedures have been reviewed in this chapter. Rayleigh Ritz, and Galerkin methods are emphasized for finite element solutions of the Partial Differential Equations (PDE). One-, two-, and three-dimensional engineering problems can be treated, isoparametric formulation has also been explained. Unified step-by-step procedures for deriving the “element interpolation (or shape) function” have been discussed. Both the finite element assembly process (and how to handle the geometric and natural boundary conditions) and efficient numerical integrations have also been explained.
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(2006). A Review of Basic Finite Element Procedures. In: Finite Element Methods: Parallel-Sparse Statics and Eigen-Solutions. Springer, Boston, MA. https://doi.org/10.1007/0-387-30851-2_1
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DOI: https://doi.org/10.1007/0-387-30851-2_1
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-29330-1
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