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Complex Variables and Elliptic Equations
An International Journal
Volume 60, 2015 - Issue 1
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Articles

Improved algorithm for analytical solution of the heat conduction problem in doubly periodic 2D composite materials

D. KapanadzeA. Razmadze Mathematical Institute, Tbilisi State University, Tbilisi, Georgia.
,
G. MishurisInstitute of Mathematics and Physics, Aberystwyth University, Aberystwyth, UK.
&
E. PesetskayaA. Razmadze Mathematical Institute, Tbilisi State University, Tbilisi, Georgia.Correspondence[email protected]
Pages 1-23 | Received 25 Aug 2013, Accepted 04 Dec 2013, Published online: 05 Feb 2014

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Luís Filipe Pinheiro de Castro & Ekaterina Pesetskaya. (2016) Properties of a Composite Material with Mixed Imperfect Contact Conditions. Mathematical Modelling and Analysis 21:3, pages 283-303.
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Articles from other publishers (18)

Matteo Dalla Riva, Gennady Mishuris & Paolo Musolino. (2023) A DEGENERATING ROBIN-TYPE TRACTION PROBLEM IN A PERIODIC DOMAIN. Mathematical Modelling and Analysis 28:3, pages 509-521.
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Matteo Dalla Riva, Paolo Luzzini & Paolo Musolino. (2023) Singular behavior for a multi-parameter periodic Dirichlet problem. Asymptotic Analysis 134:1-2, pages 193-212.
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Anna Y. Zemlyanova, Yuri A. Godin & Sofia G. Mogilevskaya. (2023) Analytical solution for doubly-periodic harmonic problems with circular inhomogeneities and superconducting or membrane-type interfaces. European Journal of Mechanics - A/Solids 100, pages 104556.
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Matteo Dalla Riva, Paolo Luzzini, Paolo Musolino & Roman Pukhtaievych. 2022. Mechanics and Physics of Structured Media. Mechanics and Physics of Structured Media 271 301 .
Matteo Dalla Riva, Massimo Lanza de Cristoforis & Paolo MusolinoMatteo Dalla Riva, Massimo Lanza de Cristoforis & Paolo Musolino. 2021. Singularly Perturbed Boundary Value Problems. Singularly Perturbed Boundary Value Problems 513 614 .
M. Dalla Riva, M. Lanza de Cristoforis & P. Musolino. (2020) Mapping properties of weakly singular periodic volume potentials in Roumieu classes. Journal of Integral Equations and Applications 32:2.
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Massimo Lanza de Cristoforis & Paolo Musolino. (2019) Asymptotic Behaviour of the Energy Integral of a Two-Parameter Homogenization Problem with Nonlinear Periodic Robin Boundary Conditions. Proceedings of the Edinburgh Mathematical Society 62:4, pages 985-1016.
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Paolo Luzzini, Paolo Musolino & Roman Pukhtaievych. (2019) Shape analysis of the longitudinal flow along a periodic array of cylinders. Journal of Mathematical Analysis and Applications 477:2, pages 1369-1395.
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Matteo Dalla Riva, Paolo Musolino & Roman Pukhtaievych. (2019) Series expansion for the effective conductivity of a periodic dilute composite with thermal resistance at the two-phase interface. Asymptotic Analysis 111:3-4, pages 217-250.
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LP Castro & E Pesetskaya. (2018) A composite material with inextensible-membrane-type interface. Mathematics and Mechanics of Solids 24:2, pages 499-510.
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Roman Pukhtaievych. (2018) Effective conductivity of a periodic dilute composite with perfect contact and its series expansion. Zeitschrift für angewandte Mathematik und Physik 69:3.
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Roman Pukhtaievych. (2018) Asymptotic behavior of the solution of singularly perturbed transmission problems in a periodic domain. Mathematical Methods in the Applied Sciences 41:9, pages 3392-3413.
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. 2018. Computational Analysis of Structured Media. Computational Analysis of Structured Media 41 78 .
Massimo Lanza de Cristoforis & Paolo Musolino. (2017) Two-parameter homogenization for a nonlinear periodic Robin problem for the Poisson equation: a functional analytic approach. Revista Matemática Complutense 31:1, pages 63-110.
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Aishabibi A. Dukenbayeva, Makhmud A. Sadybekov & Nurgissa A. Yessirkegenov. 2018. Algebra, Complex Analysis, and Pluripotential Theory. Algebra, Complex Analysis, and Pluripotential Theory 207 216 .
D. Kapanadze, W. Miszuris & E. Pesetskaya. (2016) Relationship between the effective thermal properties of linear and nonlinear doubly periodic composites. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 96:7, pages 780-790.
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Massimo Lanza de Cristoforis & Paolo Musolino. (2016) A singularly perturbed Neumann problem for the Poisson equation in a periodically perforated domain. A functional analytic approach. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 96:2, pages 253-272.
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L.P. Castro, D. Kapanadze & E. Pesetskaya. (2015) Effective conductivity of a composite material with stiff imperfect contact conditions. Mathematical Methods in the Applied Sciences 38:18, pages 4638-4649.
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