{"product_id":"9783834823830","title":"Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness","description":"\u003ch1\u003eTrivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness\u003c\/h1\u003e \u003ch2\u003eMatt, Michael Andreas\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eMichael A. Matt constructs two trivariate local Lagrange interpolation methods which yield optimal approximation order and C\u003csup\u003er\u003c\/sup\u003e macro-elements based on the Alfeld and the Worsey-Farin split of a tetrahedral partition. The first interpolation method is based on cubic C\u003csup\u003e1\u003c\/sup\u003e splines over type-4 cube partitions, for which numerical tests are given. The second is the first trivariate Lagrange interpolation method using C\u003csup\u003e2\u003c\/sup\u003e splines. It is based on arbitrary tetrahedral partitions using splines of degree nine. The author constructs trivariate macro-elements based on the Alfeld split, where each tetrahedron is divided into four subtetrahedra, and the Worsey-Farin split, where each tetrahedron is divided into twelve subtetrahedra, of a tetrahedral partition. In order to obtain the macro-elements based on the Worsey-Farin split minimal determining sets for C\u003csup\u003er\u003c\/sup\u003e macro-elements are constructed over the Clough-Tocher split of a triangle, which are more variable than those in the literature.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Vieweg+Teubner Verlag\u003c\/p\u003e \u003cp\u003ePublication Date: 2012-05-11\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783834823830\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-8348-2384-7\u003c\/p\u003e \u003cp\u003eDimensions: 210cm x148cm\u003c\/p\u003e \u003cp\u003ePages: 370\u003c\/p\u003e ","brand":"Vieweg+Teubner Verlag","offers":[{"title":"Default Title","offer_id":46547404292236,"sku":"9783834823830","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783834823830.jpg?v=1775820832","url":"https:\/\/lateknightbooks.com\/products\/9783834823830","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}