When modeling incompressible materials via the Finite Element Method (FEM), typically the plane formulation that is displacement based fails when Poission's Ratio = 0.50, which is a standard indication that the material is incompressible. It has been my modeling experience that the Boundary Element Method (BEM) accomodates these incompressible materials quite well and without obstacles. Therefore, in my opinion the BEM is more suited than the FEM for relatively incompressible materials. Do you agree or disagree? - Please also indicate which method (FEM or BEM) you prefer in general?
In the case of incompressible materials, equilibrium equations of linear elastostatics (Lame equations) become Poisson's ones, and the full force of classical harmonic potential theory can be used.
At the times when BEM was establishing, I was a stickler for it, but now I prefer FEM for its universality.
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