Introduction to Finite and Spectral Element Methods Using MATLAB (2nd Ed.)
Auteur : Pozrikidis Constantine
Incorporating new topics and original material, Introduction to Finite and Spectral Element Methods Using MATLAB®, Second Edition enables readers to quickly understand the theoretical foundation and practical implementation of the finite element method and its companion spectral element method. Readers gain hands-on computational experience by using the free online FSELIB library of MATLAB® functions and codes. With the book as a user guide, readers can immediately run the codes and graphically display solutions to a variety of elementary and advanced problems.
New to the Second Edition
- Two new chapters with updated material
- Updated detailed proofs and original derivations
- New schematic illustrations and graphs
- Additional solved problems
- Updated MATLAB software, including improved and new computer functions as well as complete finite element codes incorporating domain discretization modules in three dimensions
Suitable for self-study or as a textbook in various science and engineering courses, this self-contained book introduces the fundamentals on a need-to-know basis and emphasizes the development of algorithms and the computer implementation of essential procedures. The text first explains basic concepts and develops the algorithms before addressing problems in solid mechanics, fluid mechanics, and structural mechanics.
The Finite Element Method in One Dimension. Further Applications in One Dimension. High-Order and Spectral Elements in One Dimension. The Finite Element Method in Two Dimensions. Quadratic and Spectral Elements in Two Dimensions. Applications in Mechanics. Viscous Flow. Finite and Spectral Element Methods in Three Dimensions. Appendices. References. Index.
Date de parution : 06-2014
15.6x23.4 cm
Thèmes d’Introduction to Finite and Spectral Element Methods... :
Mots-clés :
Interpolation Functions; Element Interpolation Functions; Spectral Element Methods; Ordinary Differential Equations; Development Of Algorithms; Dirichlet Boundary Condition; Problems In Solid Mechanics; Fluid Mechanics; And Structural Mechanics; Element Mass Matrix; Fselib Library; Global Node; Finite Element Matlab Codes; Dx Dy; Domain Discretization Modules In Three Dimensions; Vertex Nodes; High-Order And Spectral Elements In One Dimension; Interpolation Nodes; Methods For Ordinary And Partial Differential Equations; Diffusion Matrix; Interior Nodes; Galerkin Finite Element Method; Uniform Node Distribution; Spectral Element Method; Dξ Dη; Barycentric Coordinates; Neumann Boundary Condition; Connectivity Matrix; Galerkin Projection; Element Nodes; Unsteady Heat Conduction Equation; Appell Polynomials; Interpolated Polynomial; Mid-side Nodes; Midside Nodes
