{"product_id":"a-posteriori-error-estimation-techniques-for-finite-element-methods","title":"A Posteriori Error Estimation Techniques for Finite Element Methods","description":"\u003cp\u003eSelf-adaptive discretization methods are now an indispensable tool for the numerical solution of partial differential equations that arise from physical and technical applications. The aim is to obtain a numerical solution within a prescribed tolerance using a minimal amount of work. The main tools in achieving this goal are a posteriori error estimates which give global and local information on the error of the numerical solution and which can easily be computed\u003c\/p\u003e\u003cp\u003efrom the given numerical solution and the data of the differential equation.\u003c\/p\u003e\u003cp\u003eThis book reviews the most frequently used a posteriori error estimation techniques and applies them to a broad class of linear and nonlinear elliptic and parabolic equations. Although there are various approaches to adaptivity and a posteriori error estimation, they are all based on a few common principles. The main aim of the book is to elaborate these basic principles and to give guidelines for developing adaptive schemes for new problems.\u003c\/p\u003e\u003cp\u003eChapters 1 and 2 are quite elementary and present various error indicators and their use for mesh adaptation in the framework of a simple model problem. The basic principles are introduced using a minimal amount of notations and techniques providing a complete overview for the non-specialist. Chapters 4-6 on the other hand are more advanced and present a posteriori error estimates within a general framework using the technical tools collected in Chapter 3. Most sections close with a\u003c\/p\u003e\u003cp\u003ebibliographical remark which indicates the historical development and hints at further results.\u003c\/p\u003e","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":67651779789167,"sku":"9780199679423","price":1409.24,"currency_code":"BRL","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0921\/9384\/9711\/files\/0199679428.jpg?v=1790960713","url":"https:\/\/internacional.umlivro.com.br\/products\/a-posteriori-error-estimation-techniques-for-finite-element-methods","provider":"UmLivro Internacional","version":"1.0","type":"link"}