{"product_id":"numerical-solution-of-variational-inequalities-franz-theo-suttmeier-9783834806642","title":"Numerical Solution of Variational Inequalities by Adaptive Finite Elements","description":"Franz-Theo Suttmeier describes a general approach to a posteriori error estimation\u003cbr\u003e and adaptive mesh design for finite element models where the solution\u003cbr\u003e is subjected to inequality constraints. This is an extension to variational\u003cbr\u003e inequalities of the so-called Dual-Weighted-Residual method (DWR method), \u003cbr\u003e which is based on a variational formulation of the problem and uses global\u003cbr\u003e duality arguments for deriving weighted a posteriori error estimates with respect\u003cbr\u003e to arbitrary functionals of the error. In these estimates local residuals of\u003cbr\u003e the computed solution are multiplied by sensitivity factors, which are obtained\u003cbr\u003e from a numerically computed dual solution. The resulting local error indicators\u003cbr\u003e are used in a feed-back process for generating economical meshes, which\u003cbr\u003e are tailored according to the particular goal of the computation. This method\u003cbr\u003e is developed here for several model problems. Based on these examples, a general\u003cbr\u003e concept is proposed, which provides a systematic way of adaptive error\u003cbr\u003e control for problems stated in form of variational inequalities.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Franz-Theo Suttmeier\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3834806641\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783834806642\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Vieweg+teubner Verlag\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/28\/2008\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 161\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.47lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.27h x 5.83w x 0.37d","brand":"Franz-Theo Suttmeier","offers":[{"title":"Paperback","offer_id":48014123434239,"sku":"9783834806642","price":54.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_0d96ba2f-2e85-4a3d-8921-435c751d1fc6.jpg?v=1767746874","url":"https:\/\/www.whiterainbookhouse.com\/products\/numerical-solution-of-variational-inequalities-franz-theo-suttmeier-9783834806642","provider":"WR Book House","version":"1.0","type":"link"}