Mesh for Euler-Bernoulli Beam

• Problem: unbounded phase velocity gives a very restrictive constraint on the time step:

  $$T \leq \frac{1}{2}\min_{x=i\Delta}\sqrt{\frac{\rho_{x}A_{x}}{E_{x}I_{x}}}\Delta^{2}$$ (3)

  
  

• A typical problem for explicit methods for parabolic problems (though E-B are borderline parabolic). Similar problems crop up in the WDF approach (also possible).
• Need a better model...