gen-poincare's Introduction
H1 \cap L^2_0 is {v \in H1 such that (v, 1) = 0}. This constraint elliminates the zero eigenvalue of -\Delta u = u with Neuamann bcs and in turn the Poincare theorem holds. Sure 1 is special because (grad(v), grad(1))*dx=0 but is this the thing that makes Poincare work? I think no, any function that elliminates the zero eigenvalue should work. And we test this idea here.
gen-poincare's People
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