{"product_id":"introduction-to-automated-modeling-with-fenics-hardcover","title":"Introduction to Automated Modeling with FEniCS - Hardcover","description":"\u003cp\u003eby \u003cb\u003eL. Ridgway Scott\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eIntroduction to Automated Modeling with FEniCS explores\u003cbr\u003e solution of partial differential equations via the finite\u003cbr\u003e element method. It illustrates the use of automated software\u003cbr\u003e generation via the FEniCS Project systems. The book reviews\u003cbr\u003e most common types of partial differential equations arising\u003cbr\u003e in technical simulation. It is ideal for engineers and for\u003cbr\u003e computational and applied mathematicians.\u003c\/p\u003e\u003cp\u003ePDEs are used pervasively in science, engineering, and technology\u003cbr\u003e to model phenomena of interest. The most widely used technique\u003cbr\u003e to convert a PDE into a computable form is the finite element method.\u003cbr\u003e This book is primarily about PDEs as they are used in models. Our\u003cbr\u003e emphasis is on the diversity of PDEs that occur in practice, their\u003cbr\u003e features and their foibles. Our intent is to enable exploration\u003cbr\u003e of new models and to show how easily this can be done. However, \u003cbr\u003e this approach is not without caveats. We describe pitfalls in various\u003cbr\u003e aspects of the use of PDE models. We show how to be sure that a PDE\u003cbr\u003e model is well posed in many cases. In particular, we use this theory\u003cbr\u003e to understand appropriate boundary conditions.\u003c\/p\u003e\u003cp\u003eSecondarily, the book introduces basic concepts of numerical methods\u003cbr\u003e for approximating the solutions of PDEs. This is done so that the\u003cbr\u003e language used by software from the FEniCS Project can be properly\u003cbr\u003e understood. We limit the discussion of numerical methods as much as\u003cbr\u003e possible, except when it is essential to avoid catastrophes.\u003c\/p\u003e\u003cp\u003eA tertiary objective is to present some examples of the modeling\u003cbr\u003e process. One important type of model is derived by specializing a\u003cbr\u003e more general model. An important example of this is the plate model\u003cbr\u003e in structural mechanics. We show how the plate model is derived from\u003cbr\u003e the general elasticity model and indicate some issues that arise\u003cbr\u003e related to it. When relevant, we explain other modeling approaches as\u003cbr\u003e well. Ultimately, FEniCS can support an automated approach to modeling.\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 390\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.88 x 10 x 7 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e May 31, 2018\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":42711991844927,"sku":"9781949133004","price":188.08,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0105\/8226\/1823\/files\/782af6a1e846628c52c6952b10e29c0d.webp?v=1765060325","url":"https:\/\/dhl-adrianne.myshopify.com\/products\/introduction-to-automated-modeling-with-fenics-hardcover","provider":"BBB","version":"1.0","type":"link"}