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G. Panasenko & M.-C. Viallon. (2008) The finite volume implementation of the partial asymptotic domain decomposition. Applicable Analysis 87:12, pages 1397-1424.
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Renata Bunoiu & Antonio Gaudiello. (2022) On the Bingham Flow in a Thin Y-Like Shaped Structure. Journal of Mathematical Fluid Mechanics 24:1.
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Éric Canon, Frédéric Chardard, Grigory Panasenko & Olga Štikonienė. (2021) Numerical solution of the viscous flows in a network of thin tubes: Equations on the graph. Journal of Computational Physics 435, pages 110262.
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Irina V. Blinova, Yana M. Van-Yun-Syan & Igor Y. Popov. On the spectrum and scattering for metric graph with fourth order operator. On the spectrum and scattering for metric graph with fourth order operator.
Hanan Amar & Dan Givoli. (2019) Mixed-dimensional coupling for time-dependent wave problems using the Nitsche method. Computer Methods in Applied Mechanics and Engineering 349, pages 213-250.
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Renata Bunoiu, Antonio Gaudiello & Angelo Leopardi. (2019) Asymptotic analysis of a Bingham fluid in a thin T-like shaped structure. Journal de Mathématiques Pures et Appliquées 123, pages 148-166.
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Hanan Amar & Dan Givoli. (2018) Mixed-Dimensional Modeling of Time-Dependent Wave Problems Using the Panasenko Construction. Journal of Theoretical and Computational Acoustics 26:03, pages 1850034.
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Laurent Chupin, Andrei Ichim & Sébastien Martin. (2018) Stationary Oldroyd model with diffusive stress in thin pipes. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 98:1, pages 147-172.
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V A Kozlov & S A Nazarov. (2017) A one-dimensional model of flow in a junction of thin channels, including arterial trees. Sbornik: Mathematics 208:8, pages 1138-1186.
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V. A. Kozlov & S. A. Nazarov. (2017) Transmission Conditions in a One-Dimensional Model of Bifurcating Arteries with Elastic Walls. Journal of Mathematical Sciences 224:1, pages 94-118.
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Igor Pažanin & Pradeep G. Siddheshwar. (2017) Analysis of the Laminar Newtonian Fluid Flow Through a Thin Fracture Modelled as a Fluid-Saturated Sparsely Packed Porous Medium. Zeitschrift für Naturforschung A 72:3, pages 253-259.
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Владимир Аркадьевич Козлов, Vladimir Arkad'evich Kozlov, Сергей Александрович Назаров & Sergei Aleksandrovich Nazarov. (2017) Одномерная модель течения в сочленении тонких каналов в том числе артериальных деревьевOne-dimensional model of flow in a junction of thin channels, including arterial trees. Математический сборник Matematicheskii Sbornik 208:8, pages 56-105.
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Antonio Gaudiello, Grigory Panasenko & Andrey Piatnitski. (2016) Asymptotic analysis and domain decomposition for a biharmonic problem in a thin multi-structure. Communications in Contemporary Mathematics 18:05, pages 1550057.
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Eduard Marušić-Paloka & Igor Pažanin. (2015) A Note on Kirchhoff’s Junction Rule for Power-Law Fluids. Zeitschrift für Naturforschung A 70:9, pages 695-702.
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G. Panasenko & M. -C. Viallon. (2015) Finite volume implementation of the method of asymptotic partial domain decomposition for the heat equation on a thin structure. Russian Journal of Mathematical Physics 22:2, pages 237-263.
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Yoav Ofir & Dan Givoli. (2015) DtN-based mixed-dimensional coupling using a Boundary Stress Recovery technique. Computer Methods in Applied Mechanics and Engineering 287, pages 31-53.
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Grigory Panasenko & Konstantin Pileckas. (2014) Flows in a tube structure: Equation on the graph. Journal of Mathematical Physics 55:8.
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Grigory Panasenko & Marie‐Claude Viallon. (2013) Error estimate in a finite volume approximation of the partial asymptotic domain decomposition. Mathematical Methods in the Applied Sciences 36:14, pages 1892-1917.
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GIUSEPPE CARDONE, GRIGORY P. PANASENKO & YVAN SIRAKOV. (2012) ASYMPTOTIC ANALYSIS AND NUMERICAL MODELING OF MASS TRANSPORT IN TUBULAR STRUCTURES. Mathematical Models and Methods in Applied Sciences 20:03, pages 397-421.
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D. Dupuy, G.P. Panasenko & R. Stavre. (2008) Asymptotic solution for a micropolar flow in a curvilinear channel. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 88:10, pages 793-807.
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GRIGORY PANASENKO. (2011) THE PARTIAL HOMOGENIZATION: CONTINUOUS AND SEMI-DISCRETIZED VERSIONS. Mathematical Models and Methods in Applied Sciences 17:08, pages 1183-1209.
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D. DUPUY, G. P. PANASENKO & R. STAVRE. (2011) ASYMPTOTIC METHODS FOR MICROPOLAR FLUIDS IN A TUBE STRUCTURE. Mathematical Models and Methods in Applied Sciences 14:05, pages 735-758.
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Delphine Dupuy, Gregory P. Panasenko & Ruxandra Stavre. (2004) Asymptotic analysis for micropolar fluids. Comptes Rendus Mécanique 332:1, pages 31-36.
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