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International Journal for Multiscale Computational Engineering

Erscheint 6 Ausgaben pro Jahr

ISSN Druckformat: 1543-1649

ISSN Online: 1940-4352

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Indexed in

ASYMPTOTIC PARTIAL DOMAIN DECOMPOSITION IN THIN TUBE STRUCTURES: NUMERICAL EXPERIMENTS

Volumen 11, Ausgabe 5, 2013, pp. 407-441
DOI: 10.1615/IntJMultCompEng.2013004259
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ABSTRAKT

The method of asymptotic partial domain decomposition for thin tube structures (finite unions of thin cylinders) is revisited. Its application to the Newtonian and non-Newtonian flows in large systems of vessels is considered. The possibility of a parallelization of its algorithm is discussed for linear and nonlinear models.

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REFERENZIERT VON
  1. Panasenko Grigory, Pileckas Konstantin, Asymptotic analysis of the non-steady Navier–Stokes equations in a tube structure. I. The case without boundary-layer-in-time, Nonlinear Analysis: Theory, Methods & Applications, 122, 2015. Crossref

  2. Dobroserdova Tatiana, Olshanskii Maxim, Simakov Sergey, Multiscale coupling of compliant and rigid walls blood flow models, International Journal for Numerical Methods in Fluids, 82, 12, 2016. Crossref

  3. Dobroserdova Tatyana, Liang Fuyou, Panasenko Grigory, Vassilevski Yuri, Multiscale models of blood flow in the compliant aortic bifurcation, Applied Mathematics Letters, 93, 2019. Crossref

  4. Vasilyeva Maria, Alekseev Valentin, Chung Eric T., Efendiev Yalchin, Multiscale dimension reduction for flow and transport problems in thin domain with reactive boundaries, Journal of Computational Physics, 442, 2021. Crossref

  5. Panasenko Grigory, Pileckas Konstantin, Vernescu Bogdan, Steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure with no slip boundary condition, Mathematical Modelling of Natural Phenomena, 17, 2022. Crossref

  6. Šumskas Vytenis, Čiegis Raimondas, Finite volume ADI scheme for hybrid dimension heat conduction problems set in a cross-shaped domain, Lithuanian Mathematical Journal, 62, 2, 2022. Crossref

  7. Spiridonov Denis, Vasilyeva Maria, Wang Min, Chung Eric T., Mixed Generalized Multiscale Finite Element Method for flow problem in thin domains, Journal of Computational and Applied Mathematics, 416, 2022. Crossref

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