Dear all,

I have a benchmark 2-D problem with a square with linear elastic material 
under a uniform gravity in the horizontal direction.  No boundary condition 
is given to the structure.  I lumped the mass matrix so there is no solver 
involved in the problem. I expected the results would give me very small 
values in the y direction; However, I noticed I got significant rotations 
resulting from a negative displacements on the left side of the structure 
and the positive displacements on the right side. After debugging, I found 
that my stiffness matrix is symmetric but not positive definite in this 
case.  I know this comes from the fact that there is not sufficient 
boundary conditions provided to eliminate some entries, I am just wondering 
if there is anything in dealii that I can use to improve the stiffness 
matrix. Any suggestions would be helpful, thank you! 


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