{"product_id":"a-comparison-of-hp-adaptive-strategies-nist-9781493745166","title":"A Comparison of hp-adaptive Strategies for Elliptic Partial Differential Equations (long version)","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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Nist\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1493745166\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781493745166\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Createspace Independent Publishing Platform\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/11\/2013\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 220\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.15lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 11.02h x 8.50w x 0.46d","brand":"Nist","offers":[{"title":"Paperback","offer_id":48136685715711,"sku":"9781493745166","price":14.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_c9a9a68b-3b24-4318-ad65-f2b1f25dc790.jpg?v=1770164169","url":"https:\/\/www.whiterainbookhouse.com\/products\/a-comparison-of-hp-adaptive-strategies-nist-9781493745166","provider":"WR Book House","version":"1.0","type":"link"}