{ "item_title" : "A Comparison of hp-adaptive Strategies for Elliptic Partial Differential Equations (long version)", "item_author" : [" Nist "], "item_description" : "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.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/1/49/374/516/1493745166_b.jpg", "price_data" : { "retail_price" : "14.99", "online_price" : "14.99", "our_price" : "14.99", "club_price" : "14.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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