Hi,

Experimenting FE convergence abilities when solving ODEs, I am facing  
an interesting case with Lagrange elements. The error computed with  
the analytical solution is growing up when the number of elements  
exceed approximatively 80. Then, the node values are dramatically  
falling.

However, this only occurs when quadratic (Edge3) and cubic (Edge4)  
shape functions are used. Using linear Lagrange (Edge2) or cubic  
Hermite (Edge3) verify the stability of the error when incrementing  
the number of elements (To one thousand or more).

The problem seems also independent from the equation's coefficients.  
Thinking of an interaction between Petsc and Laspack, I tried a  
compilation with the "--disable-laspack" option but nothing changed.

Any suggests are welcome,


Maxime



NB: To implement the Neumann condition in a transient case, I finally  
used, on the boundary, a finite difference approximation.


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