Results 41 to 50 of about 24,483 (292)
Prediction of Discretization of GMsFEM Using Deep Learning
Mathematics, 2019 In this paper, we propose a deep-learning-based approach to a class of multiscale problems. The generalized multiscale finite element method (GMsFEM) has been proven successful as a model reduction technique of flow problems in heterogeneous and high ...
Min Wang +5 more
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Proper general decomposition (PGD) for the resolution of Navier–Stokes equations [PDF]
, 2011 In this work, the PGD method will be considered for solving some problems of fluid mechanics by looking for the solution as a sum of tensor product functions. In the first stage, the equations of Stokes and Burgers will be solved. Then, we will solve the
ALLERY, Cyrille +5 more
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From Domain Decomposition to Model Reduction for Large Nonlinear Structures
Comptes Rendus. Mécanique, 2023 The numerical simulation of multiscale and multiphysics problems requires efficient tools for spatial localization and model reduction. A general strategy combining Domain Decomposition and Nonuniform Transformation Field Analysis (NTFA) is proposed ...
Leturcq, Bertrand, Le Tallec, Patrick
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A multiscale method for model order reduction in PDE parameter estimation
Journal of Computational and Applied Mathematics, 2019 22 pages, 4 figures, 3 ...
Samy Wu Fung, Lars Ruthotto
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An overview of the proper generalized decomposition with applications in computational rheology [PDF]
, 2011 We review the foundations and applications of the proper generalized decomposition (PGD), a powerful model reduction technique that computes a priori by means of successive enrichment a separated representation of the unknown field.
Leygue, A. +11 more
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Energy Science & Engineering, 2023 Global carbon dioxide emissions have become a great threat to economic sustainability and human health. The carbon market is recognized as the most promising mean to curb carbon emissions, furthermore, carbon price forecasting will promote the role of ...
Po Yun +3 more
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Multiscale expansion and integrability properties of the lattice potential KdV equation
, 2008 We apply the discrete multiscale expansion to the Lax pair and to the first few symmetries of the lattice potential Korteweg-de Vries equation. From these calculations we show that, like the lowest order secularity conditions give a nonlinear Schrödinger
Decio Levi +10 more
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Geofluids, 2017 The traditional geostatistics to describe the spatial variation of hydrogeological properties is based on the assumption of stationarity or statistical homogeneity.
Liang Xue +3 more
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Advanced Modeling and Simulation in Engineering Sciences, 2021 Solutions of partial differential equations can exhibit multiple time scales. Standard discretization techniques are constrained to capture the finest scale to accurately predict the response of the system.
Angelo Pasquale +6 more
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Fluids, 2022 To explore hemodynamic interaction between the human respiratory system (RS) and cardiovascular system (CVS), here we propose an integrated computational model to predict the CVS hemodynamics with consideration of the respiratory fluctuation (RF).
Ruichen Li +5 more
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