Circle packing: Experiments in discrete analytic function theory.
Conformal mapping and inverse conductivity problem with one measurement
This work deals with a two-dimensional inverse problem in the field of tomography. The geometry of an unknown inclusion has to be reconstructed from boundary measurements. In this paper, we extend previous results of R. Kress and his coauthors: the leading idea is to use the conformal mapping function as unknown. We establish an integrodifferential equation that the trace of the Riemann map solves. We write it as a fixed point equation and give conditions for contraction. We conclude with a series...
Conformal Mapping by the Method of Alternating Projections.
Conformal Mappings onto Prescribed Regions via Optimization Techniques.
Convergence Proofs and Error Estimates for an Iterative Method for Conformal Mapping.