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