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Common PDE Problems


This chapter describes the solution of some common PDE problems of various types. The problems are solved using both the graphical user interface and the command-line functions of the PDE Toolbox.
Elliptic Problems
Elliptic problems including Poisson's equation, a scattering problem, a minimal surface problem, and a domain decomposition.
Parabolic Problems
Parabolic problems including the heat equation and heat distribution in a radioactive rod.
Hyperbolic Problem
Example of the wave equation.
Eigenvalue Problems
Eigenvalue problems including eigenvalues and eigenfunctions for the L-shaped membrane, the L-shaped membrane with rounded corners, and a square.
Application Modes
Descriptions of the GUI's application modes, including scalar, system plane stress and strain structural mechanics, electrostatics, magnetostatics, AC power electromagnetics, conductive media DC, heat transfer, and diffusion.
References
References for further information.


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