Adaptive Finite Elements in the Discretization of Parabolic Problems is popular PDF and ePub book, written by Christian A. Möller in 2011, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Adaptive Finite Elements in the Discretization of Parabolic Problems can be Read Online from any device for your convenience.
Adaptive Finite Elements in the Discretization of Parabolic Problems Book PDF Summary
Adaptivity is a crucial tool in state-of-the-art scientific computing. However, its theoretical foundations are only understood partially and are subject of current research. This self-contained work provides theoretical basics on partial differential equations and finite element discretizations before focusing on adaptive finite element methods for time dependent problems. In this context, aspects of temporal adaptivity and error control are considered in particular. Based on the gained insights, a specific adaptive algorithm is designed and analyzed thoroughly. Most importantly, it is proven that the presented adaptive method terminates within any demanded error tolerance. Moreover, the developed algorithm is analyzed from a numerical point of view and its performance is compared to well-known standard methods. Finally, it is applied to the real-life problem of concrete carbonation, where two different discretizations are compared.
Detail Book of Adaptive Finite Elements in the Discretization of Parabolic Problems PDF
- Author : Christian A. Möller
- Release : 21 September 2024
- Publisher : Logos Verlag Berlin GmbH
- ISBN : 9783832528157
- Genre : Mathematics
- Total Page : 259 pages
- Language : English
- PDF File Size : 21,5 Mb
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