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Introduction to Finite and Spectral Element Methods using MATLAB

C. Pozrikidis
Publisher: 
Chapman & Hall/CRC
Publication Date: 
2005
Number of Pages: 
653
Format: 
Hardcover
Price: 
109.95
ISBN: 
1-58488-529-7
Category: 
Monograph
We do not plan to review this book.

 

 THE FINITE ELEMENT METHOD IN ONE DIMENSION
Steady diffusion with linear elements
Variational formulation and weighted residuals
Steady diffusion with quadratic elements
Unsteady diffusion in one dimension
One-dimensional convection
One-dimensional convection-diffusion
Beam bending
Beam buckling

HIGH-ORDER AND SPECTRAL ELEMENTS IN ONE DIMENSION
Nodal bases
Spectral interpolation
Lobatto interpolation and element matrices
Spectral code for steady diffusion
Spectral code for unsteady diffusion
Modal expansion

THE FINITE ELEMENT METHOD IN TWO DIMENSIONS
Convection-diffusion in two dimensions
3-node triangles
Grid generation
Code for Laplace's equation with the Dirichlet boundary condition in a disk-like domain
Code for steady convection-diffusion with the Dirichlet boundary condition
Code for Helmholtz's equation with the Neumann boundary condition
Code for Laplace's equation with Dirichlet and Neumann boundary conditions
Bilinear quadrilateral elements

QUADRATIC AND SPECTRAL ELEMENTS IN TWO DIMENSIONS
6-node triangular elements
Grid generation and finite element codes
High-order triangle expansions
High-order node distributions
Modal expansion on the triangle
Surface elements
High-order quadrilateral elements

APPLICATIONS IN SOLID AND FLUID MECHANICS
Plane stress-strain analysis
Finite element methods for plane stress/strain
Plate bending
Hermite triangles
Finite element methods for plate bending
Viscous flow
Stokes flow
Navier-Stokes flow

FINITE AND SPECTRAL ELEMENT METHODS IN THREE DIMENSIONS
Convection-diousion in three dimensions
4-node tetrahedral elements
High-order and spectral tetrahedral elements
Hexahedral elements

APPENDICES
Function interpolation
Orthogonal polynomials
Linear solvers
Mathematical supplement
Element grid generation
Glossary
MATLAB primer
References
Index

 

Dummy View - NOT TO BE DELETED