Keyword

cell problems

Description: The term may refer to mathematical cell problems in homogenization, but the titles do not establish a single meaning or field.

Primary topic: Advanced Mathematical Modeling in Engineering (66%)

OpenAlex ID: keywords/cell-problems

The effect of weak inertia on flow through a porous medium

1991 · C. C. Mei, J.-L. Auriault · Journal of Fluid Mechanics · 293

Homogenization of corrugated core sandwich panels

2002 · Natacha Buannic, Patrice Cartraud, et al. · Composite Structures · 256

Homogenization of a Darcy–Stokes system modeling vuggy porous media

2006 · Todd Arbogast, Heather L. Lehr · Computational Geosciences · 220

An FFT-based Galerkin method for homogenization of periodic media

2014 · Jaroslav Vondřejc, Jan Zeman, et al. · Computers & Mathematics with Applications · 171

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Determination of the average characteristics of elastic frameworks

1985 · A.G. Kolpakov · Journal of Applied Mathematics and Mechanics · 170

Multiscale Modelling of Fluid and Drug Transport in Vascular Tumours

2010 · Rebecca J. Shipley, S. Jonathan Chapman · Bulletin of Mathematical Biology · 156

Beyond Kozeny–Carman: Predicting the Permeability in Porous Media

2019 · Raphael Schulz, Nadja Ray, et al. · Transport in Porous Media · 151

Multiscale Modeling and Simulations of Flows in Naturally Fractured Karst Reservoirs

2009 · Peter Popov, Yalchin Efendiev, et al. · Communications in Computational Physics · 131

On A Priori Error Analysis of Fully Discrete Heterogeneous Multiscale FEM

2005 · Assyr Abdulle · Multiscale Modeling and Simulation · 116

$\Gamma$-Limit of a Phase-Field Model of Dislocations

2005 · A. Garroni, S. Müller · SIAM Journal on Mathematical Analysis · 116

Computational homogenization of periodic beam-like structures

2005 · Patrice Cartraud, Tanguy Messager · International Journal of Solids and Structures · 107

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Computation of the Effective Conductivity of Unidirectional Fibrous Composites With an Interfacial Thermal Resistance

2001 · Rodrigo P. A. Rocha, M Anuel E. Cruz · Numerical Heat Transfer Part A Applications · 103

Reduction of the Resonance Error — Part 1: Approximation of Homogenized Coefficients

2011 · ANTOINE GLORIA · Mathematical Models and Methods in Applied Sciences · 99

A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales

2008 · N.C. Nguyen · Journal of Computational Physics · 97

Eliminating the pollution effect in Helmholtz problems by local subscale correction

2016 · Daniel Peterseim · Mathematics of Computation · 89

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NH-PINN: Neural homogenization-based physics-informed neural network for multiscale problems

2022 · Wing Tat Leung, Guang Lin, et al. · Journal of Computational Physics · 86

Reduced-Basis Approach for Homogenization beyond the Periodic Setting

2008 · Sébastien Boyaval · Multiscale Modeling and Simulation · 82

Mechanics of heterogeneous porous media with several spatial scales

1989 · Chiang C. Mei, J. -l. Auriault · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 81

A multiscale model of partial melts: 2. Numerical results

2010 · G. Simpson, M. Spiegelman, et al. · Journal of Geophysical Research Atmospheres · 74

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The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains

2009 · Patrick Henning, Mario Ohlberger · Numerische Mathematik · 73

The influence of mesoscale porosity on cortical bone anisotropy. Investigations via asymptotic homogenization

2008 · William J Parnell, Quentin Grimal · Journal of The Royal Society Interface · 66

Homogenization technique for Maxwell equations in periodic structures

1997 · M. El Feddi, Z. Ren, et al. · IEEE Transactions on Magnetics · 65

Wetting of rough surfaces: a homogenization approach

2004 · Giovanni Alberti, Antonio DeSimone · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 64

Some engineering and mathematical aspects on the homogenization method

1995 · Dag Lukkassen, Lars-Erik Persson, et al. · Composites Engineering · 62

Homogenization of a Conductive and Radiative Heat Transfer Problem

2009 · Grégoire Allaire, Karima El Ganaoui · Multiscale Modeling and Simulation · 59

Works count: 536

Citation count: 6,868