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A Comparison of hp-adaptive Strategies for Elliptic Partial Differential Equations (long version)

by Nist
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Current price ₹1,425.00
Original price ₹1,470.00
Original price ₹1,470.00
Original price ₹1,470.00
(-3%)
₹1,425.00
Current price ₹1,425.00

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Book cover type: Paperback
  • ISBN13: 9781493745166
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Createspace Independent Publishing Platform
  • Publisher Imprint: Createspace Independent Publishing Platform
  • Publication Date:
  • Pages: 220
  • Original Price: USD 14.99
  • Language: English
  • Edition: N/A
  • Item Weight: 522 grams
  • BISAC Subject(s): Mathematical Analysis

The hp version of the finite element method (hp-FEM) combined with adaptive mesh refinement is a particularly efficient method for solving partial differential equations because it can achieve a convergence rate that is exponential in the number of degrees of freedom. hp-FEM allows for refinement in both the element size, h, and the polynomial degree, p. Like adaptive refinement for the h version of the finite element method, a posteriori error estimates can be used to determine where the mesh needs to be refined, but a single error estimate can not simultaneously determine whether it is better to do the refinement by h or by p. Several strategies for making this determination have been proposed over the years. In this paper we summarize these strategies and present the results of a numerical experiment to study the convergence properties of these strategies.

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