Curvilinear crosscuts of subdivision for a domain decomposition method in numerical conformal mapping
The authors continue their study of the domain decomposition method (DDM) to compute the conformal modulus \(m(Q)\) of a `long' quadrilateral \(Q\) by decomposing \(Q\) into a finite number of simpler quadrilaterals \(Q_j\), so that \(m(Q)\) is approximated by \(\Sigma m(Q_j)\). Instead of dividing \(Q\) by rectilinear crosscuts, the authors now propose to use curvilinear crosscuts whenever \(Q\) can be imbedded into a polygonal domain. Error estimates are given, and four numerical examples show that it is of advantage to use curvilinear crosscuts.
scientific article; zbMATH DE number 1334655