# Using Finite Elements Method on a PDE With No Solution (Scripts) 1.0

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• Last update: 5 years ago
• Operating system: Linux, Mac OS X, Win All, BSD, Solaris
• Publisher: Mark Mueller
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## Using Finite Elements Method on a PDE With No Solution (Scripts) Publisher's description

### A simple partial differential equation (PDE) with boundary conditions is examined:

A simple partial differential equation (PDE) with boundary conditions is examined:

d/dx( x dy/dx ) = x
y(0) = y(1) = 0.

Integrate the PDE twice to get its solution. Then apply the boundary conditions and get a contradiction. The boundary value problem(BVP)has no solution.

Regardless, apply the finite elements method (FEM) using piecewise linear basis functions. The FEM is successfully completed without a hitch. There is no sign that the problem is insolvable.

This occurs because the FEM makes assumptions which restrict the solution space. Within this restricted space the BVP does have a solution.

The point is that one cannot blindly rely on a numerical technique to produce the correct answer to a problem. Numerical methods need to be supplemented with analysis.

#### System Requirements:

MATLAB 7.7 (R2008b)
Program Release Status: New Release
Program Install Support: Install and Uninstall

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