The Finite Element Method Theory, Implementation, and Applications

• Main Authors: Larson, Mats G. 1968- (Author), Bengzon, Fredrik (Author)
• Format: Book
• Language: English
• Published: Berlin Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2013
• Series: Texts in computational science and engineering
• Subjects: Finite element method; Differential equations, partial
• Online Access: Click Here to View Status and Holdings.
• Physical Description: xvii, 385 pages illustrations (some color) 24 cm
• Bibliography: Includes bibliographies references and index
• ISBN: 9783642332869

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.