Product Information
This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.Product Identifiers
PublisherSpringer-Verlag Berlin AND Heidelberg Gmbh & Co. KG
ISBN-139783642447112
eBay Product ID (ePID)216646658
Product Key Features
Number of Pages395 Pages
Publication NameThe Finite Element Method: Theory, Implementation, and Applications
LanguageEnglish
SubjectComputer Science, Mathematics
Publication Year2015
TypeTextbook
Subject AreaMechanical Engineering
AuthorMats G. Larson, Fredrik Bengzon
SeriesTexts in Computational Science and Engineering
FormatPaperback
Dimensions
Item Height235 mm
Item Weight6263 g
Additional Product Features
Country/Region of ManufactureGermany
Title_AuthorMats G. Larson, Fredrik Bengzon