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• W2217620559 endingPage "258" @default.
• W2217620559 startingPage "227" @default.
• W2217620559 abstract "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 demonstrate the exponential convergence rates with two classic test problems." @default.
• W2217620559 created "2016-06-24" @default.
• W2217620559 creator A5005748321 @default.
• W2217620559 creator A5071025407 @default.
• W2217620559 date "2011-01-01" @default.
• W2217620559 modified "2023-09-30" @default.
• W2217620559 title "A Survey of hp-Adaptive Strategies for Elliptic Partial Differential Equations" @default.
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• W2217620559 doi "https://doi.org/10.1007/978-90-481-9981-5_10" @default.
• W2217620559 hasPublicationYear "2011" @default.
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