Partial Differential Equation Toolbox Getting Started Tutorial What Is the Partial Differential Equation Toolbox? 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? Solving a PDE 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 Common PDE Problems Elliptic Problems Poisson's Equation on Unit Disk A Scattering Problem A Minimal Surface Problem Domain Decomposition Parabolic Problems The Heat Equation: A Heated Metal Block Heat Distribution in Radioactive Rod Hyperbolic Problem The Wave Equation 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 Reducing the Parabolic Equation to Elliptic Equations Solving the Parabolic Equation in Stages 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 Functions -- Categorical List PDE Algorithms User Interface Algorithms Geometry Algorithms Plot Functions Utility Algorithms User Defined Algorithms Demonstration Programs Functions -- Alphabetical List Printable Documentation (PDF) Product Page (Web)