Finite Element Methods and Their Applications

• Κύριος συγγραφέας: Chen, Zhangxin (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Σειρά: Scientific Computation,
• Θέματα: Physics.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Mechanics.; Optical materials.; Electronic materials.; Numerical and Computational Physics.; Theoretical, Mathematical and Computational Physics.; Applications of Mathematics.; Optical and Electronic Materials.; Computational Science and Engineering.

 This book serves as a text for one- or two-semester courses for upper-level undergraduates and beginning graduate students and as a professional reference for people who want to solve partial differential equations (PDEs) using finite element methods. The author has attempted to introduce every concept in the simplest possible setting and maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Quite a lot of attention is given to discontinuous finite elements, characteristic finite elements, and to the applications in fluid and solid mechanics including applications to porous media flow, and applications to semiconductor modeling. An extensive set of exercises and references in each chapter are provided. 

 Elementary Finite Elements -- Nonconforming Finite Elements -- Mixed Finite Elements -- Discontinuous Finite Elements -- Characteristic Finite Elements -- Adaptive Finite Elements -- Solid Mechanics -- Fluid Mechanics -- Fluid Flow in Porous Media -- Semiconductor Modeling.