Hierarchies of Stieltjes Functions and Their Application to the Calculation of Bounds for the Dielectric Constant of a Two-Component Composite Medium
From MaRDI portal
Publication:3142774
DOI10.1137/0153045zbMath0782.30001OpenAlexW2044933489MaRDI QIDQ3142774
Publication date: 28 February 1994
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0153045
Approximation in the complex plane (30E10) Moment problems and interpolation problems in the complex plane (30E05) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) Continued fractions; complex-analytic aspects (30B70) Basic methods for problems in optics and electromagnetic theory (78M99) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable (30-01)
Related Items
Reconstruction of spectral function from effective permittivity of a composite material using rational function approximations ⋮ Analytical representation and efficient computation of the effective conductivity of two‐phase composite materials ⋮ Multipoint matrix Padé approximant bounds on effective anisotropic transport coefficients of two-phase media ⋮ Inequalities for bounds on effective transport coefficients of two-phase media from power expansions at real points ⋮ Effective elastic properties of periodic composite medium. ⋮ Padé approximations for identification of air bubble volume from temperature- or frequency-dependent permittivity of a two-component mixture ⋮ Stieltjes representation of the 3D Bruggeman effective medium and Padé approximation ⋮ Analytical relations between effective material properties and microporosity: application to bone mechanics ⋮ On applications of Herglotz-Nevanlinna functions in material sciences. II: Extended applications and generalized theory ⋮ Exact moduli and bounds of two-phase composites with coupled multifield linear responses ⋮ Asymptotic determination of effective elastic properties of composite materials with fibrous square-shaped inclusions
