Schwarz-Christoffel

Algorithm 756: a MATLAB toolbox for Schwarz-Christoffel mapping. The Schwarz-Christoffel transformation and its variations yield formulas for conformal maps from standard regions to the interiors or exteriors of possibly unbounded polygons. Computations involving these maps generally require a computer, and although the numerical aspects of these transformations have been studied, there are few software implementations that are widely available and suited for general use. The Schwarz-Christoffel Toolbox for MATLAB is a new implementation of Schwarz-Christoffel formulas for maps from the disk, half-plane, strip, and rectangle domains to polygon interiors, and from the disk to polygon exteriors. The toolbox, written entirely in the MATLAB script language, exploits the high-level functions, interactive environment, visualization tools, and graphical user interface elements supplied by current versions of MATLAB, and is suitable for use both as a standalone tool and as a library for applications written in MATLAB, Fortran, or C. Several examples and simple applications are presented to demonstrate the toolbox’s capabilities.


References in zbMATH (referenced in 235 articles )

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  1. Fyrillas, Marios M.: Shape factor and shape optimization for a periodic array of isothermal pipes (2010)
  2. Heryudono, Alfa R. H.; Driscoll, Tobin A.: Radial basis function interpolation on irregular domain through conformal transplantation (2010)
  3. Kaiser, Tobias: Harmonic measure and subanalytically tame measures (2010)
  4. Knizhnerman, L.; Simoncini, V.: A new investigation of the extended Krylov subspace method for matrix function evaluations (2010)
  5. Lipman, Yaron; Levin, David: Derivation and analysis of Green coordinates (2010)
  6. Meyer, Daniel: Snowballs are quasiballs (2010)
  7. Mundal, Sissel Slettemark; Keilegavlen, Eirik; Aavatsmark, Ivar: Simulation of anisotropic heterogeneous near-well flow using MPFA methods on flexible grids (2010)
  8. Natarajan, Sundararajan; Mahapatra, D. Roy; Bordas, Stéphane P. A.: Integrating strong and weak discontinuities without integration subcells and example applications in an XFEM/GFEM framework (2010)
  9. Papamichael, Nicolas; Stylianopoulos, Nikos: Numerical conformal mapping. Domain decomposition and the mapping of quadrilaterals (2010)
  10. Andersson, Anders: Modified Schwarz-Christoffel mappings using approximate curve factors (2009)
  11. Antipov, Y. A.; Silvestrov, V. V.: Circular map for supercavitating flow in a multiply connected domain (2009)
  12. Beckermann, Bernhard; Reichel, Lothar: Error estimates and evaluation of matrix functions via the Faber transform (2009)
  13. Celani, A.; Mazzino, A.; Tizzi, M.: Overruled harmonic explorers in the plane and stochastic Löwner evolution (2009)
  14. Fyrillas, Marios M.: Shape optimization for 2D diffusive scalar transport (2009)
  15. Hakula, H.; Hyvönen, N.: On computation of test dipoles for factorization method (2009)
  16. Hale, Nicholas; Tee, T. Wynn: Conformal maps to multiply slit domains and applications (2009)
  17. Kennedy, Tom: Numerical computations for the Schramm-Loewner evolution (2009)
  18. Natarajan, Sundararajan; Bordas, Stéphane; Mahapatra, D. Roy: Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping (2009)
  19. Rettinger, Robert: Towards the complexity of Riemann mappings. (Extended abstract) (2009)
  20. Simoncini, V.; Druskin, V.: Convergence analysis of projection methods for the numerical solution of large Lyapunov equations (2009)

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