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Multiscale Angiogenesis Modeling Using Mixed Finite Element Methods
Multiscale Modeling & Simulation, 2005In this paper, we present a deterministic two-scale tissue-cellular approach for modeling growth factor-induced angiogenesis. The bioreaction-diffusion of chemotactic growth factors (CGF) is modeled at a tissue scale, whereas cell proliferation, capillary extension, branching, and anastomosis are modeled at a cellular scale.
Shuyu Sun +3 more
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Towards Canopy parameterization for Multiscale Finite Element Method
2022<p>Canopies represent sub-grid scale features in earth system models and interact as such with the large-scale processes resolved numerically. The canopy is implemented with a viscosity approach, resembling a roughness parameterization. However, the idea is that high viscosity is applied locally to an obstacle area whereas free spaces are
Heena Patel, Konrad Simon, Jörn Behrens
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Validation of the multiscale mixed finite‐element method
International Journal for Numerical Methods in Fluids, 2014SUMMARYSubsurface reservoirs generally have a complex description in terms of both geometry and geology. This poses a continuing challenge in modeling and simulation of petroleum reservoirs owing to variations of static and dynamic properties at different length scales.
Mayur Pal +3 more
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Least-squares mixed generalized multiscale finite element method
Computer Methods in Applied Mechanics and Engineering, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Fuchen, Chung, Eric, Jiang, Lijian
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Heterogeneous Multiscale Methods with Quadrilateral Finite Elements
2007The Heterogeneous Multiscale Method (HMM) applied to elliptic homogenization problems has been analyzed for simplicial elements in [E, Ming, Zhang, J. Amer. Math. Soc. 18, pp. 121-156, 2005] and [Abdulle, SIAM, Multiscale Model. Simul., Vol. 4, No 2, pp.195–220, 2005.].
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Multiscale geomechanical modeling under finite strains using finite element method
Continuum Mechanics and Thermodynamics, 2022Maxim Yakovlev, Dmitry Konovalov
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A Generalized Finite Element Method for Multiscale Simulations
2012Abstract : This report focuses on recent advances of the Generalized Finite Element Method (GFEM) for multiscale simulations. This method is based on the solution of interdependent global and local scale problems, and can be applied to a broad class of multiscale problems of relevance to the United States Air Force.
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Data-driven multiscale finite element method: From concurrence to separation
Computer Methods in Applied Mechanics and Engineering, 2020Rui Xu, Jie Yang, Qun Huang
exaly
Constraint Energy Minimizing Generalized Multiscale Finite Element Method
Computer Methods in Applied Mechanics and Engineering, 2018Yalchin Efendiev +2 more
exaly