Class information for:
Level 1: TOPOLOGICAL DERIVATIVE//TOPOLOGICAL GRADIENT//SHAPE CALCULUS

Basic class information
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
22 4 AUTOMATION & CONTROL SYSTEMS//ENGINEERING, CIVIL//ACOUSTICS 457813
178 3       COMPUTERS & STRUCTURES//TOPOLOGY OPTIMIZATION//STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION 56949
2260 2             TOPOLOGY OPTIMIZATION//STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION//SHAPE OPTIMIZATION 4961
18685 1                   TOPOLOGICAL DERIVATIVE//TOPOLOGICAL GRADIENT//SHAPE CALCULUS 564

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 TOPOLOGICAL DERIVATIVE authKW 2266405 14% 52% 78
2 TOPOLOGICAL GRADIENT authKW 798270 4% 71% 20
3 SHAPE CALCULUS authKW 572197 3% 64% 16
4 SHAPE OPTIMIZATION authKW 560921 20% 9% 115
5 TOPOLOGICAL SENSITIVITY authKW 492835 4% 42% 21
6 SHAPE DERIVATIVE authKW 486736 5% 31% 28
7 SHAPE HESSIAN authKW 465661 2% 83% 10
8 TOPOLOGICAL ASYMPTOTIC ANALYSIS authKW 397365 1% 89% 8
9 TOPOLOGICAL ASYMPTOTIC EXPANSION authKW 397365 1% 89% 8
10 EMBEDDING DOMAIN TECHNIQUE authKW 279398 1% 100% 5

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 11740 57% 0% 321
2 Automation & Control Systems 1577 11% 0% 64
3 Mechanics 1537 19% 0% 106
4 Engineering, General 1047 11% 0% 61
5 Mathematics 958 19% 0% 107
6 Computer Science, Cybernetics 845 4% 0% 21
7 Mathematics, Interdisciplinary Applications 627 8% 0% 45
8 Operations Research & Management Science 602 8% 0% 44
9 Computer Science, Interdisciplinary Applications 345 7% 0% 41
10 Physics, Mathematical 123 5% 0% 27

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH AVIGNON 136896 1% 35% 7
2 UMR MIG 125728 1% 75% 3
3 ELIE CARTAN NANCYUMR7502 111759 0% 100% 2
4 MATH DEP FCUL 111759 0% 100% 2
5 MATH METHODS SOLID MECH 111759 0% 100% 2
6 MEFD 111759 0% 100% 2
7 MODELISAT MATH NUMER SCI INGN LAMSIN 111759 0% 100% 2
8 REG CORDOBA UNT FRC 111759 0% 100% 2
9 COORDENACAO MATEMAT LICADA COMPUTAC 100581 1% 60% 3
10 UMR 5640 MIP 100581 1% 60% 3

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CONTROL AND CYBERNETICS 38706 4% 3% 21
2 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 18229 6% 1% 35
3 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 17717 3% 2% 16
4 ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 11911 3% 1% 17
5 STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION 9302 3% 1% 19
6 INTERFACES AND FREE BOUNDARIES 8184 1% 2% 7
7 COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 7107 2% 1% 13
8 INVERSE PROBLEMS AND IMAGING 4110 1% 1% 6
9 COMPUTATIONAL METHODS IN APPLIED MATHEMATICS 3281 1% 2% 3
10 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 3134 3% 0% 15

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 TOPOLOGICAL DERIVATIVE 2266405 14% 52% 78 Search TOPOLOGICAL+DERIVATIVE Search TOPOLOGICAL+DERIVATIVE
2 TOPOLOGICAL GRADIENT 798270 4% 71% 20 Search TOPOLOGICAL+GRADIENT Search TOPOLOGICAL+GRADIENT
3 SHAPE CALCULUS 572197 3% 64% 16 Search SHAPE+CALCULUS Search SHAPE+CALCULUS
4 SHAPE OPTIMIZATION 560921 20% 9% 115 Search SHAPE+OPTIMIZATION Search SHAPE+OPTIMIZATION
5 TOPOLOGICAL SENSITIVITY 492835 4% 42% 21 Search TOPOLOGICAL+SENSITIVITY Search TOPOLOGICAL+SENSITIVITY
6 SHAPE DERIVATIVE 486736 5% 31% 28 Search SHAPE+DERIVATIVE Search SHAPE+DERIVATIVE
7 SHAPE HESSIAN 465661 2% 83% 10 Search SHAPE+HESSIAN Search SHAPE+HESSIAN
8 TOPOLOGICAL ASYMPTOTIC ANALYSIS 397365 1% 89% 8 Search TOPOLOGICAL+ASYMPTOTIC+ANALYSIS Search TOPOLOGICAL+ASYMPTOTIC+ANALYSIS
9 TOPOLOGICAL ASYMPTOTIC EXPANSION 397365 1% 89% 8 Search TOPOLOGICAL+ASYMPTOTIC+EXPANSION Search TOPOLOGICAL+ASYMPTOTIC+EXPANSION
10 EMBEDDING DOMAIN TECHNIQUE 279398 1% 100% 5 Search EMBEDDING+DOMAIN+TECHNIQUE Search EMBEDDING+DOMAIN+TECHNIQUE

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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 32242 ADAPTIVE ELASTICITY//MATH MODELLING TECHNOL PROC//NON LINEAR SUBSOIL OF WINKLERS TYPE
2 2906 INVERSE PROBLEMS//TRANSMISSION EIGENVALUES//INVERSE SCATTERING
3 19301 CONTROL IN COEFFICIENTS//VARYING DOMAINS//LAVRENTIEFF PHENOMENON
4 1086 TOPOLOGY OPTIMIZATION//STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION//STRESS CONSTRAINTS
5 23695 NONPENETRATION CONDITION//NON PENETRATION//DERIVATIVE OF ENERGY FUNCTIONAL
6 13647 OVERDETERMINED PROBLEMS//OVERDETERMINED BOUNDARY VALUE PROBLEMS//CONSTANT RANK THEOREM
7 13042 ELECTROMAGNETIC VIBRATION//ELECTROMAGNETIC PROCESSING OF MATERIALS//ELECTROMAGNETIC CASTING
8 6233 STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM//ETSI IND TELECOMUNICAC
9 12158 AERODYNAMIC SHAPE OPTIMIZATION//PARALLEL CFD OPTIMIZAT UNIT//ADJOINT METHOD
10 30958 CLOSEST POINT METHOD//EVOLVING SURFACES//SURFACE PARTIAL DIFFERENTIAL EQUATIONS

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