A finite element discretization of the Kohn-Vogelius inverse Robin method recovers a piecewise constant Robin coefficient with error O(δ^{1-ε}) in the elliptic case and O(δ) in the parabolic case under parameter scaling h ~ δ^{2/3}, α ~ δ^{-4/3}, τ ~ δ^{4/3}.
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Numerical Approximation and Analysis of the Inverse Robin Problem Using the Kohn-Vogelius Method
A finite element discretization of the Kohn-Vogelius inverse Robin method recovers a piecewise constant Robin coefficient with error O(δ^{1-ε}) in the elliptic case and O(δ) in the parabolic case under parameter scaling h ~ δ^{2/3}, α ~ δ^{-4/3}, τ ~ δ^{4/3}.