Theoretical developments in the complex variable boundary element method

DOI10.1016/j.enganabound.2006.08.002zbMath1195.76299OpenAlexW2021685758MaRDI QIDQ1958254

T. V. II Hromadka, Robert J. Whitley

Publication date: 28 September 2010

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2006.08.002

zbMATH Keywords

CVBEMcomplex variable approximate methodsnumerical solutions to Dirichlet problems

Mathematics Subject Classification ID

Boundary element methods applied to problems in fluid mechanics (76M15) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Complex variables methods applied to problems in fluid mechanics (76M40)

Related Items (15)

Dual boundary integral equation formulation in antiplane elasticity using complex variable ⋮ Complex variable boundary element method for potential flow with thin objects. ⋮ Approximations by the Cauchy-type integrals with piecewise linear densities. ⋮ Comparison among three boundary element methods for torsion problems: CPM, CVBEM, LEM ⋮ Formulation of indirect BIEs in plane elasticity using single or double layer potentials and complex variable ⋮ Development and implementation of some BEM variants - A critical review ⋮ Complex variable boundary integral method for linear viscoelasticity. I : Basic formulations ⋮ A computational approach to determining CVBEM approximate boundaries ⋮ Complex potential by hydrodynamic analogy for the determination of flexure-torsion induced stresses in de Saint Venant beams with boundary singularities ⋮ On estimate for the modulus of continuity of the Cauchy-type integral having a Lipschitz-continuous density ⋮ Solutions of the interior and exterior boundary value problems in plane elasticity by using dislocation distribution layer ⋮ On solvability of linear systems generated by the complex variable boundary element method ⋮ Generalized complex variable boundary integral equation for stress fields and torsional rigidity in torsion problems ⋮ A BEM approach to the evaluation of warping functions in the Saint Venant theory ⋮ CVBEM solution for De Saint-Venant orthotropic beams under coupled bending and torsion

Cites Work

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• Complex logarithms, Cauchy principal values, and the complex variable boundary element method
• Approximating three-dimensional steady-state potential flow problems using two-dimensional complex polynomials
• A general complex variable boundary element method
• The existence of approximate solutions to mixed boundary value problems
• Numerical solutions of the Dirichlet problem via a density theorem
• The existence of approximate solutions for two-dimensional potential flow problems
• Approximating harmonic functions on Rⁿ with one function of a single complex variable

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