Theory and practice of finite elements
Author(s)
Bibliographic Information
Theory and practice of finite elements
（Applied mathematical sciences, v.159）
Springer, c2004
- pbk
Available at / 38 libraries
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Science and Technology Library, Kyushu University
pbk418.15/E 68031212014000524,
023212004003377 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
BC22:620/E612080002366
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
This text presenting the mathematical theory of finite elements is organized into three main sections. The first part develops the theoretical basis for the finite element methods, emphasizing inf-sup conditions over the more conventional Lax-Milgrim paradigm. The second and third parts address various applications and practical implementations of the method, respectively. It contains numerous examples and exercises.
Table of Contents
I Theoretical Foundations.- 1 Finite Element Interpolation.- 2 Approximation in Banach Spaces by Galerkin Methods.- II Approximation of PDEs.- 3 Coercive Problems.- 4 Mixed Problems.- 5 First-Order PDEs.- 6 Time-Dependent Problems.- III Implementation.- 7 Data Structuring and Mesh Generation.- 8 Quadratures, Assembling, and Storage.- 9 Linear Algebra.- 10 A Posteriori Error Estimates and Adaptive Meshes.- IV Appendices.- A Banach and Hilbert Spaces.- A.1 Basic Definitions and Results.- A.2 Bijective Banach Operators.- B Functional Analysis.- B.1 Lebesgue and Lipschitz Spaces.- B.2 Distributions.- B.3 Sobolev Spaces.- Nomenclature.- References.- Author Index.
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