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Conformal Mapping via a Density Correspondence for the Double-Layer Potential. (arXiv:1602.04855v2 [math.NA] UPDATED)
来源于:arXiv
We derive a representation formula for harmonic polynomials and Laurent
polynomials in terms of densities of the double-layer potential on bounded
piecewise smooth and simply connected domains. From this result, we obtain a
method for the numerical computation of conformal maps that applies to both
exterior and interior regions. We present analysis and numerical experiments
supporting the accuracy and broad applicability of the method. 查看全文>>