Partial Differential Equation Toolbox
Tutorial
Introduction
Can I Use the PDE Toolbox?
What Problems Can I Solve?
In Which Areas Can the Toolbox Be Used?
How Do I Define a PDE Problem?
How Can I Solve a PDE Problem?
Can I Use the Toolbox for Nonstandard Problems?
How Can I Visualize My Results?
Are There Any Applications Already Implemented?
Can I Extend the Functionality of the Toolbox?
How Can I Solve 3-D Problems by 2-D Models?
Getting Started
Basics of the Finite Element Method
Using the PDE Toolbox Graphical User Interface
The Menus
The Toolbar
The GUI Modes
The CSG Model and the Set Formula
Creating Rounded Corners
Suggested Modeling Method
Object Selection Methods
Display Additional Information
Entering Parameter Values as MATLAB Expressions
Using Earlier Version PDE Toolbox Model M-Files
Using Command-Line Functions
Data Structures and Utility Functions
Hints and Suggestions for Using Command-Line Functions
Examples
Examples of Elliptic Problems
Poisson's Equation on Unit Disk
A Scattering Problem
A Minimal Surface Problem
Domain Decomposition
Examples of Parabolic Problems
The Heat Equation: A Heated Metal Block
Heat Distribution in Radioactive Rod
Example of a Hyperbolic Problem
The Wave Equation
Examples of Eigenvalue Problems
Eigenvalues and Eigenfunctions for the L-Shaped Membrane
L-Shaped Membrane with Rounded Corner
Eigenvalues and Eigenmodes of a Square
Application Modes
The Application Modes and the GUI
Structural Mechanics -- Plane Stress
Structural Mechanics -- Plane Strain
Electrostatics
Magnetostatics
AC Power Electromagnetics
Conductive Media DC
Heat Transfer
Diffusion
References
The Graphical User Interface
PDE Toolbox Menus
File Menu
Edit Menu
Options Menu
Draw Menu
Boundary Menu
PDE Menu
Mesh Menu
Solve Menu
Plot Menu
Window Menu
Help Menu
The Toolbar
The Finite Element Method
The Elliptic Equation
The Elliptic System
The Parabolic Equation
The Hyperbolic Equation
The Eigenvalue Equation
Nonlinear Equations
Adaptive Mesh Refinement
The Error Indicator Function
The Mesh Refiner
The Termination Criteria
Fast Solution of Poisson's Equation
References
Function Reference
Functions -- By Category
PDE Algorithms
User Interface Algorithms
Geometry Algorithms
Plot Functions
Utility Algorithms
User Defined Algorithms
Demonstration Programs
Functions -- Alphabetical List
Index
Tutorial
