Conformal Maps to Multiply Slit Domains and Applications

DOI10.1137/080738325zbMath1195.30011OpenAlexW2083313399MaRDI QIDQ3581088

T. Wynn Tee, Nicholas Hale

Publication date: 16 August 2010

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/474dfc1aa65a7c068b61065cb231ad33d5d4460f

zbMATH Keywords

conformal maprational spectral collocation methodslit domainbarycentric interpolation formulaadaptive grid points

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Schwarz-Christoffel-type mappings (30C30)

Related Items

QCMC: quasi-conformal parameterizations for multiply-connected domains ⋮ Conformal mappings of multiply connected domains onto canonical domains using the Green and Neumann functions ⋮ Canonical conformal variables based method for stability of Stokes waves ⋮ Decomposition and conformal mapping techniques for the quadrature of nearly singular integrals ⋮ Superconvergence of Jacobi-Gauss-type spectral interpolation ⋮ Computing extremal Teichmüller map of multiply-connected domains via Beltrami holomorphic flow ⋮ On the dynamics of a free surface of an ideal fluid in a bounded domain in the presence of surface tension ⋮ Mesh Density Functions Based on Local Bandwidth Applied to Moving Mesh Methods ⋮ Barycentric rational interpolation with asymptotically monitored poles ⋮ Stokes waves with constant vorticity: folds, gaps and fluid bubbles ⋮ Convergence of an iterative algorithm for Teichmüller maps via harmonic energy optimization ⋮ Two-Dimensional Modeling of Electron Flow Through a Poorly Conducting Layer ⋮ On The Use of Conformal Maps for the Acceleration of Convergence of the Trapezoidal Rule and Sinc Numerical Methods ⋮ Almost extreme waves

Uses Software

• Matlab
• Schwarz-Christoffel
• RADAU
• SC Toolbox
• radau5