Results 51 to 60 of about 28,001 (222)
A mixed multiscale spectral generalized finite element method
Numerische MathematikWe present a multiscale mixed finite element method for solving second order elliptic equations with general $L^{\infty}$-coefficients arising from flow in highly heterogeneous porous media. Our approach is based on a multiscale spectral generalized finite element method (MS-GFEM) and exploits the superior local mass conservation properties of mixed ...
Alber, Christian +2 more
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A Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Parabolic Equations [PDF]
Multiscale Modeling & Simulation, 2019 In this paper, we present a Constraint Energy Minimizing Generalized Multiscale Finite Element Method (CEM-GMsFEM) for parabolic equations with multiscale coefficients, arising from applications in porous media. We will present the construction of CEM-GMsFEM and rigorously analyze its convergence for the parabolic equations.
Li, Mengnan, Chung, Eric, Jiang, Lijian
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Generalized Multiscale Finite Element Method for the poroelasticity problem in multicontinuum media [PDF]
Journal of Computational and Applied Mathematics, 2020 In this paper, we consider a poroelasticity problem in heterogeneous multicontinuum media that is widely used in simulations of the unconventional hydrocarbon reservoirs and geothermal fields. Mathematical model contains a coupled system of equations for pressures in each continuum and effective equation for displacement with volume force sources that ...
Aleksei Tyrylgin +3 more
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Advanced Healthcare Materials, EarlyView.Wound closure is governed by geometry‐orientation coupling: aligned fibers speed migration along their axis but hinder perpendicular advance. In vivo diabetic wound experiments with composition‐matched fibrin, combined with an anisotropic diffusion (biased random‐walk) model, quantify this trade‐off and generate a healing landscape.
Yin‐Yuan Huang +13 more
wiley +1 more source
Generalized Multiscale Finite Element Method for the Steady State Linear Boltzmann Equation [PDF]
Multiscale Modeling & Simulation, 2020 The Boltzmann equation, as a model equation in statistical mechanics, is used to describe the statistical behavior of a large number of particles driven by the same physics laws. Depending on the media and the particles to be modeled, the equation has slightly different forms.
Eric Chung +3 more
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Bioinspired Adaptive Sensors: A Review on Current Developments in Theory and Application
Advanced Materials, EarlyView.This review comprehensively summarizes the recent progress in the design and fabrication of sensory‐adaptation‐inspired devices and highlights their valuable applications in electronic skin, wearable electronics, and machine vision. The existing challenges and future directions are addressed in aspects such as device performance optimization ...
Guodong Gong +12 more
wiley +1 more source
FEM-DEM Multiscale Numerical Method for Investigating Stress Gradient Effects in Granular Media
Applied SciencesThe gravitational field represents the fundamental stress field in geotechnical engineering. Its influence on soil mechanical behavior is manifested not only through variations in stress magnitude but also through stress gradient effects.
Jun Chen +6 more
doaj +1 more source
Advanced Materials, EarlyView.AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
wiley +1 more source
Multiscale failure Modeling of composites using generalized finite element method [PDF]
PAMM, 2012 AbstractIn this work multiscale failure modeling of composites is made using generalized finite element method (GFEM). In this method the global approximation are constructed by combining the local basis with partition of unity functions. The enrichment functions for the GFEM approximation are computed using a proper orthogonal decomposition (POD ...
Mahendra Kumar Pal, Amirtham Rajagopal
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Advanced Materials, EarlyView.Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia +3 more
wiley +1 more source