Conformal modulus and planar domains with strong singularities and cusps

DOI10.1553/etna_vol48s462zbMath1415.65064arXiv1501.06765OpenAlexW2909417353WikidataQ128616254 ScholiaQ128616254MaRDI QIDQ1716839

Harri Hakula, Matti Vuorinen, Antti H. Rasila

Publication date: 5 February 2019

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

Full work available at URL: https://arxiv.org/abs/1501.06765

zbMATH Keywords

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

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Schwarz-Christoffel-type mappings (30C30)

Related Items

Conformal moduli of symmetric circular quadrilaterals with cusps, Condenser capacity and hyperbolic perimeter, Computation of conformal invariants, Adaptive reference elements via harmonic extensions and associated inner modes, Conformal modulus of the exterior of two rectilinear slits, The Conjugate Function Method and Conformal Mappings in Multiply Connected Domains, On capacity computation for symmetric polygonal condensers

Uses Software

• Schwarz-Christoffel
• SC Toolbox

Cites Work

• Gol'dberg's constants
• Conjugate function method for numerical conformal mappings
• Computation of dendritic growth with level set model using a multi-mesh adaptive finite element method
• The Schwarz-Christoffel conformal mapping for ``polygons with infinitely many sides
• Schwarz-Christoffel mapping in the computer era
• A posteriori estimates using auxiliary subspace techniques
• Computation of exterior moduli of quadrilaterals
• On Moduli of Rings and Quadrilaterals: Algorithms and Experiments
• A Multipole Method for Schwarz--Christoffel Mapping of Polygons with Thousands of Sides
• Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations
• Computing with hp-ADAPTIVE FINITE ELEMENTS
• Carathéodory's theorem on boundary elements of an arbitrary plane region
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