Computation of exterior moduli of quadrilaterals

Mathematics – Numerical Analysis

Scientific paper

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arXiv admin note: substantial text overlap with arXiv:0906.1261

Scientific paper

We study the problem of computing the exterior modulus of a bounded
quadrilateral. We reduce this problem to the numerical solution of the
Dirichl\'et-Neumann problem for the Laplace equation. An algorithm and its
implementation with $hp$-FEM is documented. Several experimental results, with
error estimates, are reported.

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