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Numerical Solution of Cauchy Problems for Elliptic ... - COMSOL.com

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Presented at the <strong>COMSOL</strong> Multiphysics User's Conference 2005 Boston<br />

Trans<strong>for</strong>mation <strong>of</strong> normal derivatives<br />

By the Con<strong>for</strong>mal mapping<br />

∂u<br />

∂n | L1=|(φ −1 ) ′ | ∂v (ξ, 0)<br />

∂η<br />

The Schwarz–Christ<strong>of</strong>fel mapping function φ has a singularity at every<br />

corner <strong>of</strong> the polygonal domain.<br />

The Singularities in |(φ −1 ) ′ | almost cancel out the spikes in FEMLABs<br />

normal derivative.<br />

– Femlab Conference 2005 – 17

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