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International Journal for Multiscale Computational Engineering

年間 6 号発行

ISSN 印刷: 1543-1649

ISSN オンライン: 1940-4352

The Impact Factor measures the average number of citations received in a particular year by papers published in the journal during the two preceding years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) IF: 1.4 To calculate the five year Impact Factor, citations are counted in 2017 to the previous five years and divided by the source items published in the previous five years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) 5-Year IF: 1.3 The Immediacy Index is the average number of times an article is cited in the year it is published. The journal Immediacy Index indicates how quickly articles in a journal are cited. Immediacy Index: 2.2 The Eigenfactor score, developed by Jevin West and Carl Bergstrom at the University of Washington, is a rating of the total importance of a scientific journal. Journals are rated according to the number of incoming citations, with citations from highly ranked journals weighted to make a larger contribution to the eigenfactor than those from poorly ranked journals. Eigenfactor: 0.00034 The Journal Citation Indicator (JCI) is a single measurement of the field-normalized citation impact of journals in the Web of Science Core Collection across disciplines. The key words here are that the metric is normalized and cross-disciplinary. JCI: 0.46 SJR: 0.333 SNIP: 0.606 CiteScore™:: 3.1 H-Index: 31

Indexed in

The Nanometric and Micrometric Scales of the Structure and Mechanics of Materials Revisited: An Introduction to the Challenges of Fully Deterministic Numerical Descriptions

巻 6, 発行 3, 2008, pp. 191-213
DOI: 10.1615/IntJMultCompEng.v6.i3.20
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要約

Nanoscience and nanotechnology as well as the fine modeling of the structure and mechanics of materials from the nanometric to the micrometric scales use descriptions ranging from the quantum to the statistical mechanics. This article revisits the modeling at these scales and points out the main challenges related to the numerical solution of such models that sometimes are discrete but involve an extremely large number of particles (as is the case of molecular dynamics simulations or coarse-grained molecular dynamics) and other times are continuous but defined in highly multidimensional spaces, leading to the well-known curse of dimensionality issues. The curse of dimensionality of some of these deterministic models will be emphasized, and their numerical implications will be addressed in the second part of this work.

によって引用された
  1. Chinesta F., Ammar A., Cueto E., Proper generalized decomposition of multiscale models, International Journal for Numerical Methods in Engineering, 83, 8-9, 2010. Crossref

  2. Bognet B., Bordeu F., Chinesta F., Leygue A., Poitou A., Advanced simulation of models defined in plate geometries: 3D solutions with 2D computational complexity, Computer Methods in Applied Mechanics and Engineering, 201-204, 2012. Crossref

  3. Alotto P., Guarnieri M., Moro F., Stella A., Multi-physic 3D dynamic modelling of polymer membranes with a proper generalized decomposition model reduction approach, Electrochimica Acta, 57, 2011. Crossref

  4. Park H.M., Karhunen–Loève Galerkin method with decimated sampling technique for the simulation of complex fluids defined in the phase space, Journal of Non-Newtonian Fluid Mechanics, 165, 19-20, 2010. Crossref

  5. Bonithon G., Joyot P., Chinesta F., Villon P., Non-incremental boundary element discretization of parabolic models based on the use of the proper generalized decompositions, Engineering Analysis with Boundary Elements, 35, 1, 2011. Crossref

  6. Chinesta Francisco, Ladeveze Pierre, Cueto Elías, A Short Review on Model Order Reduction Based on Proper Generalized Decomposition, Archives of Computational Methods in Engineering, 18, 4, 2011. Crossref

  7. Pruliere E., Chinesta F., Ammar A., On the deterministic solution of multidimensional parametric models using the Proper Generalized Decomposition, Mathematics and Computers in Simulation, 81, 4, 2010. Crossref

  8. Cruz C., Chinesta F., Régnier G., Review on the Brownian Dynamics Simulation of Bead-Rod-Spring Models Encountered in Computational Rheology, Archives of Computational Methods in Engineering, 19, 2, 2012. Crossref

  9. Lamari H., Ammar A., Cartraud P., Legrain G., Chinesta F., Jacquemin F., Routes for Efficient Computational Homogenization of Nonlinear Materials Using the Proper Generalized Decompositions, Archives of Computational Methods in Engineering, 17, 4, 2010. Crossref

  10. Chinesta Francisco, Ammar Amine, Cueto Elías, Recent Advances and New Challenges in the Use of the Proper Generalized Decomposition for Solving Multidimensional Models, Archives of Computational Methods in Engineering, 17, 4, 2010. Crossref

  11. Ammar Amine, Cueto Elías, Chinesta Francisco, Reduction of the chemical master equation for gene regulatory networks using proper generalized decompositions, International Journal for Numerical Methods in Biomedical Engineering, 28, 9, 2012. Crossref

  12. Leygue A., Verron E., A First Step Towards the Use of Proper General Decomposition Method for Structural Optimization, Archives of Computational Methods in Engineering, 17, 4, 2010. Crossref

  13. Sarbandi B., Cartel S., Besson J., Ryckelynck D., Truncated Integration for Simultaneous Simulation of Sintering Using a Separated Representation, Archives of Computational Methods in Engineering, 17, 4, 2010. Crossref

  14. Ammar Amine, Chinesta Francisco, Cueto Elías, Doblaré Manuel, Proper generalized decomposition of time-multiscale models, International Journal for Numerical Methods in Engineering, 90, 5, 2012. Crossref

  15. Dumon A., Allery C., Ammar A., Simulation of Heat and Mass Transport in a Square Lid-Driven Cavity with Proper Generalized Decomposition (PGD), Numerical Heat Transfer, Part B: Fundamentals, 63, 1, 2013. Crossref

  16. González David, Cueto Elías, Chinesta Francisco, Díez Pedro, Huerta Antonio, Streamline upwind/Petrov-Galerkin-based stabilization of proper generalized decompositions for high-dimensional advection-diffusion equations, International Journal for Numerical Methods in Engineering, 94, 13, 2013. Crossref

  17. Chinesta Francisco, From Single-Scale to Two-Scales Kinetic Theory Descriptions of Rods Suspensions, Archives of Computational Methods in Engineering, 20, 1, 2013. Crossref

  18. Chinesta F., Leygue A., Bordeu F., Aguado J. V., Cueto E., Gonzalez D., Alfaro I., Ammar A., Huerta A., PGD-Based Computational Vademecum for Efficient Design, Optimization and Control, Archives of Computational Methods in Engineering, 20, 1, 2013. Crossref

  19. Leblond C., Allery C., A priori space–time separated representation for the reduced order modeling of low Reynolds number flows, Computer Methods in Applied Mechanics and Engineering, 274, 2014. Crossref

  20. Alotto P., Guarnieri M., Moro F., Stella A., A Proper Generalized Decomposition Approach for Fuel Cell Polymeric Membrane Modeling, IEEE Transactions on Magnetics, 47, 5, 2011. Crossref

  21. Lopez Elena, Abisset-Chavanne Emmanuelle, Lebel François, Upadhyay Ram, Comas Sébastien, Binetruy Christophe, Chinesta Francisco, Advanced thermal simulation of processes involving materials exhibiting fine-scale microstructures, International Journal of Material Forming, 9, 2, 2016. Crossref

  22. Chinesta F., Abisset-Chavanne E., Ammar A., Cueto E., Efficient Stabilization of Advection Terms Involved in Separated Representations of Boltzmann and Fokker-Planck Equations, Communications in Computational Physics, 17, 4, 2015. Crossref

  23. Alotto P., Guarnieri M., Moro F., Stella A., A proper generalized decomposition approach for modeling fuel cell polymeric membranes, Digests of the 2010 14th Biennial IEEE Conference on Electromagnetic Field Computation, 2010. Crossref

  24. Ammar Amine, Zghal Ali, Morel Franck, Chinesta Francisco, On the space-time separated representation of integral linear viscoelastic models, Comptes Rendus Mécanique, 343, 4, 2015. Crossref

  25. Cimetiere Alain, Chinesta Francisco, Visonneau Michel, Leygue Adrien, Xu Guangtao, Ghnatios Chady, On the space separated representation when addressing the solution of PDE in complex domains, Discrete and Continuous Dynamical Systems - Series S, 9, 2, 2016. Crossref

  26. Chinesta Francisco, Magnin Morgan, Roux Olivier, Ammar Amine, Cueto Elias, Kinetic Theory Modeling and Efficient Numerical Simulation of Gene Regulatory Networks Based on Qualitative Descriptions, Entropy, 17, 4, 2015. Crossref

  27. Chinesta Francisco, Huerta Antonio, Rozza Gianluigi, Willcox Karen, Model Reduction Methods, in Encyclopedia of Computational Mechanics Second Edition, 2017. Crossref

  28. Chinesta Francisco, Abisset-Chavanne Emmanuelle, The Schrödinger Equation, in A Journey Around the Different Scales Involved in the Description of Matter and Complex Systems, 2018. Crossref

  29. Le-Quoc C., Le Linh A., Ho-Huu V., Huynh P. D., Nguyen-Thoi T., An Immersed Boundary Proper Generalized Decomposition (IB-PGD) for Fluid–Structure Interaction Problems, International Journal of Computational Methods, 15, 06, 2018. Crossref

  30. Balducci Marc, Jones Brandon, Doostan Alireza, Orbit uncertainty propagation and sensitivity analysis with separated representations, Celestial Mechanics and Dynamical Astronomy, 129, 1-2, 2017. Crossref

  31. Chinesta Francisco, Ammar Amine, Cueto Elías, On the use of proper generalized decompositions for solving the multidimensional chemical master equation, European Journal of Computational Mechanics, 19, 1-3, 2010. Crossref

  32. Nasri Mohamed Aziz, Robert Camille, Ammar Amine, El Arem Saber, Morel Franck, Proper Generalized Decomposition (PGD) for the numerical simulation of polycrystalline aggregates under cyclic loading, Comptes Rendus Mécanique, 346, 2, 2018. Crossref

  33. Dumon Antoine, Allery Cyrille, Ammar Amine, Proper Generalized Decomposition method for incompressible flows in stream-vorticity formulation, European Journal of Computational Mechanics, 19, 5-7, 2010. Crossref

  34. Bognet Brice, Leygue Adrien, Chinesta Francisco, On the fully 3D simulations of thermoelastic models defined in plate and shell geometries, European Journal of Computational Mechanics, 21, 1-2, 2012. Crossref

  35. Chinesta Francisco, Keunings Roland, Leygue Adrien, Introduction, in The Proper Generalized Decomposition for Advanced Numerical Simulations, 2014. Crossref

  36. Prulière Etienne, Férec Julien, Chinesta Francisco, Ammar Amine, An efficient reduced simulation of residual stresses in composite forming processes, International Journal of Material Forming, 3, S2, 2010. Crossref

  37. Chinesta Francisco, Cueto Elías, Introduction, in PGD-Based Modeling of Materials, Structures and Processes, 2014. Crossref

  38. Chinesta Francisco, Cueto Elías, PGD-Based Computational Homogenization, in PGD-Based Modeling of Materials, Structures and Processes, 2014. Crossref

  39. Alberti Anthony L., Palmer Todd S., Reduced-Order Modeling of Nuclear Reactor Kinetics Using Proper Generalized Decomposition, Nuclear Science and Engineering, 194, 10, 2020. Crossref

  40. Oulghelou Mourad, Allery Cyrille, Mosquera Rolando, Parametric reduced order models based on a Riemannian barycentric interpolation, International Journal for Numerical Methods in Engineering, 122, 22, 2021. Crossref

  41. Quaranta G., Bognet B., Ibañez R., Tramecon A., Haug E., Chinesta F., A new hybrid explicit/implicit in-plane-out-of-plane separated representation for the solution of dynamic problems defined in plate-like domains, Computers & Structures, 210, 2018. Crossref

  42. Chipot Michel, Hackbusch Wolfgang, Sauter Stefan, Veit Alexander, Numerical Approximation of Poisson Problems in Long Domains, Vietnam Journal of Mathematics, 50, 2, 2022. Crossref

  43. Megdoud Abdelhak, Manser Belkacem, Belaidi Idir, Bakir Farid, Khelladi Sofiane, A reduced-order method with PGD for the analysis of dynamically loaded journal bearing, Comptes Rendus. Mécanique, 350, G2, 2022. Crossref

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