Results 131 to 140 of about 5,178 (170)
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A Multiscale Finite-Element-Method
Civil-Comp Proceedings, 1997Abstract This paper describes a hierarchical overlay of a p -version finite element approximation on a coarse mesh and an h -approximation on a geometrically independent fine mesh. The length scales of the local problem may be some orders of magnitude below the scale of the global problem.
Rank, E., Krause, R.
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Meshfree Generalized Multiscale Finite Element Method
Journal of Computational Physics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multiscale Finite Element Methods
2009This expository book surveys the main concepts and recent advances in multiscale finite element methods. This monograph is intended for the broader audiences including engineers, applied scientists and those who are interested in multiscale simulations.
Hou, Thomas, Efendiev, Yalchin
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Variational eigenstrain multiscale finite element method
Computer Methods in Applied Mechanics and Engineering, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Shaofan +3 more
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A Multiscale Finite Element Method for Numerical Homogenization
Multiscale Modeling & Simulation, 2005Summary: This paper is concerned with a multiscale finite element method for numerically solving second-order scalar elliptic boundary value problems with highly oscillating coefficients. In the spirit of previous other works, our method is based on the coupling of a coarse global mesh and a fine local mesh, the latter being used for computing ...
Allaire, Grégoire, Brizzi, Robert
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A hybrid multiscale finite element/peridynamics method
International Journal of Fracture, 2017A hybrid method is presented that uses a representative volume element-based multiscale finite element technique combined with a peridynamics method for modeling fracture surfaces. The hybrid method dynamically switches from finite element computations to peridynamics based on a damage criterion defined on the peridynamics grid, which is coincident ...
Raymond A. Wildman +2 more
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Mortar multiscale finite element methods for Stokes–Darcy flows
Numerische Mathematik, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Girault, Vivette +2 more
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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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