Abstract
The various methods described in this monograph for the computation of eigenpairs and GFIF/GSIFs cannot in general be carried out by means of analytical techniques; thus they require the use of numerical methods. We use the p_version of the FE method as the machinery for obtaining the required quantities, therefore, this chapter provides a brief introduction to these methods, their main features and characteristics. Readers interested in the mathematical aspects of p_ and hp_FEMs are encouraged to consult Schwab’s book [157] whereas details on the applicative aspects of p_ and spectral FE methods are well documented in Karniadakis and Scherwin’s book [92] and Szab´o and Babu?ska’s book [178].
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© 2012 Springer Science+Business Media, LLC
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Yosibash, Z. (2012). An Introduction to the p- and hp-Versions of the Finite Element Method. In: Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation. Interdisciplinary Applied Mathematics, vol 37. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1508-4_2
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DOI: https://doi.org/10.1007/978-1-4614-1508-4_2
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