Class information for:
Level 1: TWO SCALE CONVERGENCE//HOMOGENIZATION//PERFORATED DOMAINS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
5488 1617 20.7 36%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
2568 2             HOMOGENIZATION//TWO SCALE CONVERGENCE//PERFORATED DOMAINS 3706
5488 1                   TWO SCALE CONVERGENCE//HOMOGENIZATION//PERFORATED DOMAINS 1617

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 TWO SCALE CONVERGENCE authKW 1513371 7% 70% 115
2 HOMOGENIZATION authKW 1320549 33% 13% 541
3 PERFORATED DOMAINS authKW 796703 4% 74% 57
4 PERIODIC UNFOLDING authKW 227934 1% 93% 13
5 PERIODIC UNFOLDING METHOD authKW 227934 1% 93% 13
6 PERIODIC HOMOGENIZATION authKW 226785 2% 39% 31
7 CONTROL IN COEFFICIENTS authKW 217696 1% 82% 14
8 HIN address 193104 1% 68% 15
9 ASYMPTOTIC ANALYSIS journal 141100 6% 8% 94
10 BLOCH WAVES authKW 140655 1% 32% 23

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics, Applied 31383 55% 0% 889
2 Mathematics 14619 41% 0% 669
3 Mechanics 1285 11% 0% 172
4 Mathematics, Interdisciplinary Applications 750 5% 0% 86
5 Engineering, General 309 4% 0% 62
6 Physics, Mathematical 257 4% 0% 68
7 Multidisciplinary Sciences 144 2% 0% 30
8 Automation & Control Systems 55 2% 0% 26
9 Materials Science, Composites 9 1% 0% 9
10 Computer Science, Interdisciplinary Applications 8 1% 0% 21

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 HIN 193104 1% 68% 15
2 MODELISAT SIMULAT NUMER 108749 1% 48% 12
3 FST TANGER 66081 0% 50% 7
4 EQUIPE MCS 56647 0% 100% 3
5 MUROM BRANCH 56647 0% 100% 3
6 UMR5142 52283 0% 46% 6
7 CHAIR PL MATH 1 50350 0% 67% 4
8 IISC TIFR MATH PROGRAMME 50350 0% 67% 4
9 DIFFERENTIAL EQUAT 43102 2% 8% 27
10 FCT CMA 37764 0% 100% 2

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ASYMPTOTIC ANALYSIS 141100 6% 8% 94
2 NETWORKS AND HETEROGENEOUS MEDIA 38396 2% 7% 29
3 JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 18592 2% 3% 37
4 MULTISCALE MODELING & SIMULATION 17350 2% 3% 27
5 APPLICABLE ANALYSIS 14854 2% 2% 34
6 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 14182 2% 2% 36
7 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 12747 3% 1% 50
8 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 10553 1% 3% 21
9 DOKLADY MATHEMATICS 8394 2% 1% 37
10 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 8214 4% 1% 61

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 TWO SCALE CONVERGENCE 1513371 7% 70% 115 Search TWO+SCALE+CONVERGENCE Search TWO+SCALE+CONVERGENCE
2 HOMOGENIZATION 1320549 33% 13% 541 Search HOMOGENIZATION Search HOMOGENIZATION
3 PERFORATED DOMAINS 796703 4% 74% 57 Search PERFORATED+DOMAINS Search PERFORATED+DOMAINS
4 PERIODIC UNFOLDING 227934 1% 93% 13 Search PERIODIC+UNFOLDING Search PERIODIC+UNFOLDING
5 PERIODIC UNFOLDING METHOD 227934 1% 93% 13 Search PERIODIC+UNFOLDING+METHOD Search PERIODIC+UNFOLDING+METHOD
6 PERIODIC HOMOGENIZATION 226785 2% 39% 31 Search PERIODIC+HOMOGENIZATION Search PERIODIC+HOMOGENIZATION
7 CONTROL IN COEFFICIENTS 217696 1% 82% 14 Search CONTROL+IN+COEFFICIENTS Search CONTROL+IN+COEFFICIENTS
8 BLOCH WAVES 140655 1% 32% 23 Search BLOCH+WAVES Search BLOCH+WAVES
9 DOUBLE POROSITY 137003 2% 24% 30 Search DOUBLE+POROSITY Search DOUBLE+POROSITY
10 HOMOGENIZATION STRUCTURES 132176 0% 100% 7 Search HOMOGENIZATION+STRUCTURES Search HOMOGENIZATION+STRUCTURES

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 KUMAR, K , NEUSS-RADU, M , POP, IS , (2016) HOMOGENIZATION OF A PORE SCALE MODEL FOR PRECIPITATION AND DISSOLUTION IN POROUS MEDIA.IMA JOURNAL OF APPLIED MATHEMATICS. VOL. 81. ISSUE 5. P. 877 -897 29 97% 3
2 BELLIEUD, M , (2010) TORSION EFFECTS IN ELASTIC COMPOSITES WITH HIGH CONTRAST.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 41. ISSUE 6. P. 2514 -2553 24 96% 4
3 CIORANESCU, D , DAMLAMIAN, A , GRISO, G , (2008) THE PERIODIC UNFOLDING METHOD IN HOMOGENIZATION.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 40. ISSUE 4. P. 1585 -1620 25 74% 123
4 CALVO-JURADO, C , CASADO-DIAZ, J , LUNA-LAYNEZ, M , (2016) HOMOGENIZATION OF NONLINEAR DIRICHLET PROBLEMS IN RANDOM PERFORATED DOMAINS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 133. ISSUE . P. 250 -274 19 100% 0
5 DONATO, P , LE NGUYEN, KH , (2015) HOMOGENIZATION OF DIFFUSION PROBLEMS WITH A NONLINEAR INTERFACIAL RESISTANCE.NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. VOL. 22. ISSUE 5. P. 1345 -1380 19 95% 2
6 WOUKENG, JL , (2015) HOMOGENIZATION IN ALGEBRAS WITH MEAN VALUE.BANACH JOURNAL OF MATHEMATICAL ANALYSIS. VOL. 9. ISSUE 2. P. 142 -182 21 81% 1
7 BUNOIU, R , TIMOFTE, C , (2016) HOMOGENIZATION OF A THERMAL PROBLEM WITH FLUX JUMP.NETWORKS AND HETEROGENEOUS MEDIA. VOL. 11. ISSUE 4. P. 545 -562 20 83% 0
8 MIELKE, A , REICHELT, S , THOMAS, M , (2014) TWO-SCALE HOMOGENIZATION OF NONLINEAR REACTION-DIFFUSION SYSTEMS WITH SLOW DIFFUSION.NETWORKS AND HETEROGENEOUS MEDIA. VOL. 9. ISSUE 2. P. 353 -382 22 76% 1
9 BRINGEDAL, C , BERRE, I , POP, IS , RADU, FA , (2016) UPSCALING OF NONISOTHERMAL REACTIVE POROUS MEDIA FLOW UNDER DOMINANT PECLET NUMBER: THE EFFECT OF CHANGING POROSITY.MULTISCALE MODELING & SIMULATION. VOL. 14. ISSUE 1. P. 502 -533 20 77% 0
10 NGUETSENG, G , SHOWALTER, RE , WOUKENG, JL , (2014) DIFFUSION OF A SINGLE-PHASE FLUID THROUGH A GENERAL DETERMINISTIC PARTIALLY-FISSURED MEDIUM.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 17 94% 0

Classes with closest relation at Level 1


Rank Class id link
1 18050 OSCILLATING BOUNDARY//OPERATOR ERROR ESTIMATES//PERIODIC DIFFERENTIAL OPERATORS
2 11651 UPSCALING//MULTISCALE FINITE ELEMENT METHOD//MULTISCALE METHODS
3 29238 HYBRID MIXTURE THEORY//DISJOINING SWELLING PRESSURE//ELECTRODIFFUSION TEST
4 16906 FAST AUTOMATIC DIFFERENTIATION//IMMISCIBLE COMPRESSIBLE//WATER HYDROGEN
5 9864 LINEARIZED ELASTICITY//LIU BIE JU MATH SCI//ELASTIC MULTI STRUCTURES
6 21774 THIN DOMAINS//CONCENTRATING TERMS//DUMBBELL DOMAINS
7 9530 FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES//QUASISTATIC EVOLUTION
8 30984 RADIATING SOLUTIONS//VOLUME SINGULAR INTEGRAL EQUATION//EVOLUTIONARY EQUATIONS
9 17535 EXTREMAL ELASTIC STRUCTURES//KOLOSOV MUSKHELISHVILI POTENTIALS//PLANE ELASTICITY PROBLEM
10 6623 YOUNG MEASURES//QUASICONVEXITY//RANK ONE CONVEXITY

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