Class information for:
Level 2: HOMOGENIZATION//TWO SCALE CONVERGENCE//PERFORATED DOMAINS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2568 3706 19.6 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
9864 1                   LINEARIZED ELASTICITY//LIU BIE JU MATH SCI//ELASTIC MULTI STRUCTURES 1114
18050 1                   OSCILLATING BOUNDARY//OPERATOR ERROR ESTIMATES//PERIODIC DIFFERENTIAL OPERATORS 569
21774 1                   THIN DOMAINS//CONCENTRATING TERMS//DUMBBELL DOMAINS 406

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 HOMOGENIZATION authKW 925818 19% 16% 686
2 TWO SCALE CONVERGENCE authKW 718849 3% 73% 120
3 PERFORATED DOMAINS authKW 372375 2% 77% 59
4 ASYMPTOTIC ANALYSIS journal 215761 5% 15% 176
5 GAMMA CONVERGENCE authKW 167309 3% 20% 104
6 OSCILLATING BOUNDARY authKW 140470 0% 95% 18
7 HIN address 121310 0% 82% 18
8 PERIODIC UNFOLDING authKW 115326 0% 100% 14
9 ROUGH BOUNDARY authKW 114388 1% 56% 25
10 PERIODIC HOMOGENIZATION authKW 112095 1% 41% 33

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 55154 48% 0% 1791
2 Mathematics 39239 45% 0% 1654
3 Mechanics 7934 17% 0% 620
4 Engineering, General 1947 6% 0% 222
5 Mathematics, Interdisciplinary Applications 1659 5% 0% 194
6 Multidisciplinary Sciences 431 2% 0% 77
7 Physics, Mathematical 405 4% 0% 134
8 Automation & Control Systems 52 1% 0% 44
9 Materials Science, Composites 4 0% 0% 13
10 Materials Science, Characterization, Testing 3 0% 0% 10

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 121310 0% 82% 18
2 MODELISAT SIMULAT NUMER 95215 0% 68% 17
3 JACQUES LOUIS LIONS 94010 4% 9% 133
4 DIFFERENTIAL EQUAT 75210 1% 17% 54
5 ANAL NUMER 65508 2% 10% 77
6 LIU BIE JU MATH SCI 49897 1% 30% 20
7 FST TANGER 47654 0% 64% 9
8 MECAN MODELISAT MATH NUMER 41188 0% 100% 5
9 UMR CNRS 5508 40929 0% 38% 13
10 MATH R HAEL SALEM 40637 1% 15% 34

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 215761 5% 15% 176
2 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 50799 6% 3% 229
3 JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 45894 2% 6% 88
4 JOURNAL OF ELASTICITY 41177 2% 6% 88
5 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 35320 2% 5% 86
6 COMPTES RENDUS MATHEMATIQUE 33079 3% 3% 129
7 COMPTES RENDUS MECANIQUE 29092 2% 5% 72
8 ANALYSIS AND APPLICATIONS 21263 1% 9% 29
9 RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 20727 1% 11% 22
10 NETWORKS AND HETEROGENEOUS MEDIA 19110 1% 8% 31

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 HOMOGENIZATION 925818 19% 16% 686 Search HOMOGENIZATION Search HOMOGENIZATION
2 TWO SCALE CONVERGENCE 718849 3% 73% 120 Search TWO+SCALE+CONVERGENCE Search TWO+SCALE+CONVERGENCE
3 PERFORATED DOMAINS 372375 2% 77% 59 Search PERFORATED+DOMAINS Search PERFORATED+DOMAINS
4 GAMMA CONVERGENCE 167309 3% 20% 104 Search GAMMA+CONVERGENCE Search GAMMA+CONVERGENCE
5 OSCILLATING BOUNDARY 140470 0% 95% 18 Search OSCILLATING+BOUNDARY Search OSCILLATING+BOUNDARY
6 PERIODIC UNFOLDING 115326 0% 100% 14 Search PERIODIC+UNFOLDING Search PERIODIC+UNFOLDING
7 ROUGH BOUNDARY 114388 1% 56% 25 Search ROUGH+BOUNDARY Search ROUGH+BOUNDARY
8 PERIODIC HOMOGENIZATION 112095 1% 41% 33 Search PERIODIC+HOMOGENIZATION Search PERIODIC+HOMOGENIZATION
9 CORRECTOR 109552 1% 28% 47 Search CORRECTOR Search CORRECTOR
10 OPERATOR ERROR ESTIMATES 107636 0% 93% 14 Search OPERATOR+ERROR+ESTIMATES Search OPERATOR+ERROR+ESTIMATES

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 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 32 94% 123
3 ARRIETA, JM , VILLANUEVA-PESQUEIRA, M , (2016) UNFOLDING OPERATOR METHOD FOR THIN DOMAINS WITH A LOCALITY HIGHLY OSCILLATORY BOUNDARY.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 48. ISSUE 3. P. 1634 -1671 35 90% 0
4 CIARLET, PG , (2005) AN INTRODUCTION TO DIFFERENTIAL GEOMETRY WITH APPLICATIONS TO ELASTICITY - PREFACE.JOURNAL OF ELASTICITY. VOL. 78-79. ISSUE 1-3. P. 5-+ 38 95% 8
5 GAUDIELLO, A , SILI, A , (2015) HOMOGENIZATION OF HIGHLY OSCILLATING BOUNDARIES WITH STRONGLY CONTRASTING DIFFUSIVITY.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 47. ISSUE 3. P. 1671 -1692 28 97% 2
6 CIARLET, PG , LODS, V , (1996) ASYMPTOTIC ANALYSIS OF LINEARLY ELASTIC SHELLS .1. JUSTIFICATION OF MEMBRANE SHELL EQUATIONS.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 136. ISSUE 2. P. 119 -161 51 82% 71
7 BORISOV, D , CARDONE, G , DURANTE, T , (2016) HOMOGENIZATION AND NORM-RESOLVENT CONVERGENCE FOR ELLIPTIC OPERATORS IN A STRIP PERFORATED ALONG A CURVE.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS. VOL. 146. ISSUE 6. P. 1115 -1158 30 88% 0
8 KUMAR, K , VAN HELVOORT, M , POP, IS , (2014) RIGOROUS UPSCALING OF ROUGH BOUNDARIES FOR REACTIVE FLOWS.ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK. VOL. 94. ISSUE 7-8. P. 623 -644 30 88% 2
9 CIARLET, PG , GRATIE, L , MARDARE, C , (2009) INTRINSIC METHODS IN ELASTICITY: A MATHEMATICAL SURVEY.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 23. ISSUE 1-2. P. 133-164 36 84% 3
10 CHECHKIN, GA , D'APICE, C , DE MAIO, U , PIATNITSKI, AL , (2014) ON THE RATE OF CONVERGENCE OF SOLUTIONS IN DOMAIN WITH RANDOM MULTILEVEL OSCILLATING BOUNDARY.ASYMPTOTIC ANALYSIS. VOL. 87. ISSUE 1-2. P. 1 -28 27 96% 1

Classes with closest relation at Level 2


Rank Class id link
1 3300 FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES//QUASISTATIC EVOLUTION
2 1824 MULLINS EFFECT//JOURNAL OF ELASTICITY//PRESSURE DEPENDENT VISCOSITY
3 1984 INVERSE PROBLEMS//INVERSE SCATTERING//TOPOLOGICAL DERIVATIVE
4 3492 WRINKLING//INFLATABLE STRUCTURES//CANONICAL DUALITY THEORY
5 1577 HOMOGENIZATION//COMPUTATIONAL HOMOGENIZATION//SURFACE ELASTICITY
6 704 NAVIER STOKES EQUATIONS//GLOBAL ATTRACTOR//CAHN HILLIARD EQUATION
7 1855 STRAIN GRADIENT PLASTICITY//GRADIENT ELASTICITY//DISLOCATION DYNAMICS
8 2042 SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//LIPSCHITZ DOMAINS
9 1111 ANNALES HENRI POINCARE//COMMUNICATIONS IN MATHEMATICAL PHYSICS//SCHRODINGER OPERATOR
10 458 DISCONTINUOUS GALERKIN METHOD//COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING//SUPERCONVERGENCE

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