Keyword

effective coefficients

Description: Coefficients in a homogenized mathematical model that represent the large-scale behavior of a heterogeneous medium.

Primary topic: Advanced Mathematical Modeling in Engineering (58%)

OpenAlex ID: keywords/effective-coefficients

Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics

2014 · A. Gloria, S. Neukamm, et al. · Inventiones mathematicae · 239

Approximations of effective coefficients in stochastic homogenization

2004 · A BOURGEAT · Annales de l Institut Henri Poincaré Probabilités et Statistiques · 213

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Continuum Models for Beam- and Platelike Lattice Structures

1978 · Ahmed K. Noor, Melvin S. Anderson, et al. · AIAA Journal · 198

Optical pulse propagation in nonlinear photonic crystals

2001 · N. A. R. Bhat, J. E. Sipe · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 155

Wavelet-Based Numerical Homogenization

1998 · Mihai Dorobantu, Björn Engquist · SIAM Journal on Numerical Analysis · 141

Quantitative x‐ray fluorescence analysis. Theory and practice of the fundamental coefficient method

1986 · N. Broll · X-Ray Spectrometry · 128

Finite Element Heterogeneous Multiscale Method for the Wave Equation

2011 · Assyr Abdulle, Marcus J. Grote · Multiscale Modeling and Simulation · 116

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The local microscale problem in the multiscale modeling of strongly heterogeneous media: Effects of boundary conditions and cell size

2006 · Xingye Yue, Weinan E · Journal of Computational Physics · 108

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

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

Nonsaturated deformable porous media: Quasistatics

1987 · J.-L. Auriault · Transport in Porous Media · 99

Elastic wave propagation in fluid-saturated porous media II

1981 · James G. Berryman · The Journal of the Acoustical Society of America · 98

Long waves through emergent coastal vegetation

2011 · Chiang C. Mei, I-Chi Chan, et al. · Journal of Fluid Mechanics · 96

Closed-form expressions for the effective coefficients of a fiber-reinforced composite with transversely isotropic constituents – II. Piezoelectric and square symmetry

2001 · Julián Bravo-Castillero, Raúl Guinovart-Dı́az, et al. · Mechanics of Materials · 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

Dynamic behaviour of porous media saturated by a viscoelastic fluid. Application to bituminous concretes

1990 · C. Boutin, J.L. Auriault · International Journal of Engineering Science · 80

A comprehensive numerical homogenisation technique for calculating effective coefficients of uniaxial piezoelectric fibre composites

2005 · Harald Berger, Sreedhar Kari, et al. · Materials Science and Engineering A · 79

Asymptotic homogenization of periodic thermo-magneto-electro-elastic heterogeneous media

2013 · Lázaro M. Sixto-Camacho, Julian Bravo-Castillero, et al. · Computers & Mathematics with Applications · 67

Reduced basis finite element heterogeneous multiscale method for high-order discretizations of elliptic homogenization problems

2012 · Assyr Abdulle, Yun Bai · Journal of Computational Physics · 62

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On diffusion, dispersion and reaction in porous media

2011 · F.J. Valdés-Parada, C.G. Aguilar-Madera, et al. · Chemical Engineering Science · 61

Homogenization of a Conductive and Radiative Heat Transfer Problem

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

Multiscale Modeling of Colloid and Fluid Dynamics in Porous Media Including an Evolving Microstructure

2012 · Nadja Ray, Tycho van Noorden, et al. · Transport in Porous Media · 56

Effective Chemical Processes in Porous Media

2003 · C. Conca, J. I. Díaz, et al. · Mathematical Models and Methods in Applied Sciences · 55

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Asymptotic Homogenization Models for Smart Composite Plates with Rapidly Varying Thickness: Part I-Theory

2004 · A. L. Kalamkarov, A. V. Georgiades · International Journal for Multiscale Computational Engineering · 52

Homogenization of a reaction–diffusion system modeling sulfate corrosion of concrete in locally periodic perforated domains

2010 · Tasnim Fatima, Nasrin Arab, et al. · Journal of Engineering Mathematics · 50

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Continuum models for beam-like and plate-like lattice structures

1978 · A. NOOR, M. ANDERSON, et al. · AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference (SDM) · 49

Works count: 547

Citation count: 5,213