This paper proposes a numerical approach based on the charge simulation method for calculating conformal mappings from the bounded multiply connected regions onto linear slit domain and spiral slit domain. Firstly, conformal mapping formulas are defined by the normalizing conditions, and the undetermined harmonic functions in the approximate functions are represented using the first-order linear combination of complex logarithmic functions. Secondly, according to the boundary conditions, we establish the constraint equations about the charges in the charge simulation method. Finally, the charges are obtained by solving the constraint equations, which further construct a high-precision conformal mapping. Numerical examples show the effectiveness of our algorithm.
Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks.
You are receiving this notice because your organization may not have SPIE eBooks access.*
*Shibboleth/Open Athens users─please
sign in
to access your institution's subscriptions.
To obtain this item, you may purchase the complete book in print or electronic format on
SPIE.org.
INSTITUTIONAL Select your institution to access the SPIE Digital Library.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.