Analytic formulation of Cauchy integrals for boundaries with curvilinear geometry

DOI10.1098/rspa.2007.0138zbMath1132.45004OpenAlexW2101856962MaRDI QIDQ5438186

I. Jankovic, Philippe le Grand, Otto D. L. Strack, David R. Steward

Publication date: 23 January 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2007.0138

zbMATH Keywords

Fredholm integral equationconformal mappingsingular integral equationBell polynomialsFaà di Bruno's formulaanalytic element method

Mathematics Subject Classification ID

Integral equations with kernels of Cauchy type (45E05)

Related Items

An analytic solution for groundwater uptake by phreatophytes spanning spatial scales from plant to field to regional ⋮ CV circular-arc ordinary and (multi-) wedge elements for harmonic problems ⋮ Taylor expansion of the inverse function with application to the Langevin function ⋮ Unnamed Item

Cites Work

• The evaluation of Cauchy principal value integrals in the boundary element method - a review
• A method of numerical solution of Cauchy-type singular integral equations with generalized kernels and arbitrary complex singularities
• Exponential polynomials
• The use of fundamental Green's functions for the solution of problems of heat conduction in anisotropic media
• Optimal shape of a variable condenser
• Calculating Higher Derivatives of Inverses
• Effective boundary conditions for the Laplace equation with a rough boundary
• The solution of a class of free boundary problems
• Flow past a two– or three–dimensional steep–edged roughness
• Ancillary solutions for curved crack stress analysis
• The Curious History of Faa di Bruno's Formula
• The Continuation Approach: A General Framework for the Analysis and Evaluation of Singular and Near-Singular Integrals
• A Multivariate Faa di Bruno Formula with Applications
• A slender–wing theory in potential flow
• Improved Integral Formulation for Acoustic Radiation Problems
• The application of integral equation methods to the numerical solution of some exterior boundary-value problems
• Applications of Faa Di Bruno's Formula in Mathematical Statistics

This page was built for publication: Analytic formulation of Cauchy integrals for boundaries with curvilinear geometry