An Introduction to the p- and hp-Versions of the Finite Element Method

Zohar Yosibash

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


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].

Original languageEnglish
Title of host publicationInterdisciplinary Applied Mathematics
PublisherSpringer Nature
Number of pages19
StatePublished - 1 Jan 2012

Publication series

NameInterdisciplinary Applied Mathematics
ISSN (Print)0939-6047
ISSN (Electronic)2196-9973

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Computational Theory and Mathematics
  • Management Science and Operations Research


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