Computation of exterior moduli of quadrilaterals

zbMath1305.65110arXiv1111.2146MaRDI QIDQ2450062

Harri Hakula, Antti H. Rasila, Matti Vuorinen

Publication date: 14 May 2014

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2146

zbMATH Keywords

numerical conformal mappingconformal capacityconformal modulus\(hp\)-FEMquadrilateral modulus

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Capacity and harmonic measure in the complex plane (30C85) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (11)

Numerical conformal mapping to one-tooth gear-shaped domains and applications ⋮ Computation of conformal invariants ⋮ Numerical computation of the capacity of generalized condensers ⋮ Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals ⋮ Asymptotics of the exterior conformal modulus of a symmetric quadrilateral under stretching map ⋮ Asymptotics of the conformal modulus of a nonsymmetric unbounded doubly-connected domain under stretching ⋮ Moduli of quadrilaterals and quasiconformal reflection ⋮ Conformal modulus and planar domains with strong singularities and cusps ⋮ The Conjugate Function Method and Conformal Mappings in Multiply Connected Domains ⋮ On capacity computation for symmetric polygonal condensers ⋮ Level sets of potential functions bisecting unbounded quadrilaterals

Uses Software

• Schwarz-Christoffel
• SC Toolbox

This page was built for publication: Computation of exterior moduli of quadrilaterals