Homogenization and Two-Scale Convergence

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Cite
Allaire, Grégoire. “Homogenization and Two-Scale Convergence”. SIAM Journal on Mathematical Analysis, vol. 23, no. 6, 1992, pp. 1482-18, https://doi.org/10.1137/0523084.
Allaire, G. (1992). Homogenization and Two-Scale Convergence. SIAM Journal on Mathematical Analysis, 23(6), 1482-1518. https://doi.org/10.1137/0523084
Allaire, Grégoire. “Homogenization and Two-Scale Convergence”. SIAM Journal on Mathematical Analysis 23, no. 6 (1992): 1482-1518. https://doi.org/10.1137/0523084.
Allaire G. Homogenization and Two-Scale Convergence. SIAM Journal on Mathematical Analysis. 1992;23(6):1482-518.
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Refrences
Title Journal Journal Categories Citations Publication Date
10.3233/ASY-1993-7201 1993
10.3233/ASY-1992-5402 1992
Progress in partial differential equations: calculus of variations, applications (Pont-à-Mousson, 1991) 1992
Nonlinear partial differential equations in engineering and applied science (Proc. Conf., Univ. Rhode Island, Kingston, R.I., 1979) 1980
Nonlinear analysis and mechanics: Heriot-Watt Symposium, Vol. IV 1979
Citations
Title Journal Journal Categories Citations Publication Date
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High-Order Two-Scale Asymptotic Paradigm for the Elastodynamic Homogenization of Periodic Composites Acta Mechanica Solida Sinica
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Second-Order Three-Scale Asymptotic Analysis and Algorithms for Steklov Eigenvalue Problems in Composite Domain with Hierarchical Cavities Journal of Scientific Computing
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The Transition from Darcy to Nonlinear Flow in Heterogeneous Porous Media: I—Single-Phase Flow

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Corrector estimates and numerical simulations of a system of diffusion–reaction–dissolution–precipitation model in a porous medium Journal of Computational and Applied Mathematics
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Citations Analysis
Category Category Repetition
Science: Mathematics864
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods618
Technology: Engineering (General). Civil engineering (General)209
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics193
Technology: Mechanical engineering and machinery183
Science: Physics100
Science: Chemistry78
Science: Mathematics: Instruments and machines: Electronic computers. Computer science71
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials55
Technology: Chemical technology24
Science: Geology19
Science: Physics: Heat: Thermodynamics18
Science: Science (General)17
Technology: Technology (General): Industrial engineering. Management engineering13
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases12
Technology: Chemical technology: Chemical engineering12
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Science: Mathematics: Probabilities. Mathematical statistics9
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Science: Biology (General)8
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Science: Physics: Optics. Light7
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Medicine: Medicine (General): Computer applications to medicine. Medical informatics6
Science5
Medicine: Medicine (General): Medical technology5
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Science: Physics: Atomic physics. Constitution and properties of matter3
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Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware2
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Technology2
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Technology: Technology (General): Industrial engineering. Management engineering: Information technology1
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Geography. Anthropology. Recreation: Geography (General)1
Technology: Engineering (General). Civil engineering (General): Systems engineering1
Science: Botany: Plant ecology1
Agriculture: Forestry1
Agriculture: Plant culture1
Agriculture: Animal culture1
Medicine: Medicine (General)1
Science: Physics: Electricity and magnetism1
Technology: Mining engineering. Metallurgy1
Music and books on Music: Music1
Science: Geology: Petrology1
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Technology: Chemical technology: Oils, fats, and waxes: Petroleum refining. Petroleum products1
Technology: Engineering (General). Civil engineering (General): Engineering machinery, tools, and implements1
The category Science: Mathematics 864 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Homogenisation of two-phase emulsions and was published in 1994. The most recent citation comes from a 2024 study titled Effective Heat Transfer Between a Porous Medium and a Fluid Layer: Homogenization and Simulation. This article reached its peak citation in 2016, with 84 citations. It has been cited in 324 different journals, 10% of which are open access. Among related journals, the SIAM Journal on Mathematical Analysis cited this research the most, with 62 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year