Class information for:
Level 1: TOPOLOGICAL DERIVATIVE//TOPOLOGICAL SENSITIVITY//TOPOLOGICAL GRADIENT

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19672 495 26.0 51%


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
16 4 ENGINEERING, CIVIL//CONSTRUCTION & BUILDING TECHNOLOGY//MECHANICS 627508
437 3       ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//ELECTRICAL IMPEDANCE TOMOGRAPHY//INVERSE PROBLEMS 26987
1984 2             INVERSE PROBLEMS//INVERSE SCATTERING//TOPOLOGICAL DERIVATIVE 5575
19672 1                   TOPOLOGICAL DERIVATIVE//TOPOLOGICAL SENSITIVITY//TOPOLOGICAL GRADIENT 495

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 TOPOLOGICAL DERIVATIVE authKW 3153994 17% 61% 84
2 TOPOLOGICAL SENSITIVITY authKW 1876487 8% 78% 39
3 TOPOLOGICAL GRADIENT authKW 1208592 5% 85% 23
4 GENERALIZED POLARIZATION TENSORS authKW 622004 2% 92% 11
5 REAL ANALYTIC CONTINUATION IN BANACH SPACE authKW 592186 2% 80% 12
6 TOPOLOGICAL ASYMPTOTIC EXPANSION authKW 493492 2% 100% 8
7 SINGULARLY PERTURBED DOMAIN authKW 440612 2% 71% 10
8 TOPOLOGICAL ASYMPTOTIC ANALYSIS authKW 317243 1% 86% 6
9 CURRENT PROJECTION METHOD authKW 308433 1% 100% 5
10 NUMERICAL BOUNDARY MEASUREMENTS authKW 246746 1% 100% 4

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 9380 54% 0% 269
2 Mechanics 1975 22% 0% 111
3 Engineering, General 1059 12% 0% 57
4 Mathematics 1036 21% 0% 103
5 Mathematics, Interdisciplinary Applications 990 11% 0% 52
6 Physics, Mathematical 481 9% 0% 46
7 Automation & Control Systems 377 6% 0% 30
8 Computer Science, Interdisciplinary Applications 219 6% 0% 31
9 Computer Science, Cybernetics 213 2% 0% 10
10 Computer Science, Software Engineering 132 4% 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 MATH AVIGNON 158616 1% 43% 6
2 UMR MIG 138793 1% 75% 3
3 NACL COMP CIENT LNCC MCT 123373 0% 100% 2
4 NACL COMPUTACAO CIENT LNCC MCT 123373 0% 100% 2
5 UMR 7641 112356 5% 7% 25
6 UMR 5640 MIP 111033 1% 60% 3
7 ANAL NON LINEAIRE GEOMETRIE 93986 2% 19% 8
8 REG CORDOBA UNT FRC CONICET 82247 0% 67% 2
9 SOLID MECH UMR CNRS 7649 82247 0% 67% 2
10 ANAL NONLINEAIRE GEOMETRIE 82243 1% 33% 4

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 CONTROL AND CYBERNETICS 9679 2% 2% 10
2 ASYMPTOTIC ANALYSIS 7498 2% 1% 12
3 INVERSE PROBLEMS 7198 4% 1% 20
4 INVERSE PROBLEMS AND IMAGING 6404 1% 1% 7
5 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 6339 2% 1% 9
6 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 5464 4% 0% 18
7 JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 5367 2% 1% 11
8 SIAM JOURNAL ON IMAGING SCIENCES 5327 1% 1% 7
9 MULTISCALE MODELING & SIMULATION 4975 2% 1% 8
10 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 4929 3% 0% 17

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 TOPOLOGICAL DERIVATIVE 3153994 17% 61% 84 Search TOPOLOGICAL+DERIVATIVE Search TOPOLOGICAL+DERIVATIVE
2 TOPOLOGICAL SENSITIVITY 1876487 8% 78% 39 Search TOPOLOGICAL+SENSITIVITY Search TOPOLOGICAL+SENSITIVITY
3 TOPOLOGICAL GRADIENT 1208592 5% 85% 23 Search TOPOLOGICAL+GRADIENT Search TOPOLOGICAL+GRADIENT
4 GENERALIZED POLARIZATION TENSORS 622004 2% 92% 11 Search GENERALIZED+POLARIZATION+TENSORS Search GENERALIZED+POLARIZATION+TENSORS
5 REAL ANALYTIC CONTINUATION IN BANACH SPACE 592186 2% 80% 12 Search REAL+ANALYTIC+CONTINUATION+IN+BANACH+SPACE Search REAL+ANALYTIC+CONTINUATION+IN+BANACH+SPACE
6 TOPOLOGICAL ASYMPTOTIC EXPANSION 493492 2% 100% 8 Search TOPOLOGICAL+ASYMPTOTIC+EXPANSION Search TOPOLOGICAL+ASYMPTOTIC+EXPANSION
7 SINGULARLY PERTURBED DOMAIN 440612 2% 71% 10 Search SINGULARLY+PERTURBED+DOMAIN Search SINGULARLY+PERTURBED+DOMAIN
8 TOPOLOGICAL ASYMPTOTIC ANALYSIS 317243 1% 86% 6 Search TOPOLOGICAL+ASYMPTOTIC+ANALYSIS Search TOPOLOGICAL+ASYMPTOTIC+ANALYSIS
9 CURRENT PROJECTION METHOD 308433 1% 100% 5 Search CURRENT+PROJECTION+METHOD Search CURRENT+PROJECTION+METHOD
10 NUMERICAL BOUNDARY MEASUREMENTS 246746 1% 100% 4 Search NUMERICAL+BOUNDARY+MEASUREMENTS Search NUMERICAL+BOUNDARY+MEASUREMENTS

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 LOPES, CG , DOS SANTOS, RB , NOVOTNY, AA , (2015) TOPOLOGICAL DERIVATIVE-BASED TOPOLOGY OPTIMIZATION OF STRUCTURES SUBJECT TO MULTIPLE LOAD-CASES.LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES. VOL. 12. ISSUE 5. P. 834 -860 46 92% 4
2 BAO, JG , LI, HG , LI, YY , (2015) GRADIENT ESTIMATES FOR SOLUTIONS OF THE LAM, SYSTEM WITH PARTIALLY INFINITE COEFFICIENTS.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 215. ISSUE 1. P. 307 -351 24 89% 2
3 BONNET, M , DELGADO, G , (2013) THE TOPOLOGICAL DERIVATIVE IN ANISOTROPIC ELASTICITY.QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS. VOL. 66. ISSUE 4. P. 557 -586 26 76% 3
4 GIUSTI, SM , NOVOTNY, AA , NETO, EAD , FEIJOO, RA , (2009) SENSITIVITY OF THE MACROSCOPIC THERMAL CONDUCTIVITY TENSOR TO TOPOLOGICAL MICROSTRUCTURAL CHANGES.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL. 198. ISSUE 5-8. P. 727-739 27 73% 5
5 GIUSTI, SM , FERRER, A , OLIVER, J , (2016) TOPOLOGICAL SENSITIVITY ANALYSIS IN HETEROGENEOUS ANISOTROPIC ELASTICITY PROBLEM. THEORETICAL AND COMPUTATIONAL ASPECTS.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL. 311. ISSUE . P. 134 -150 20 83% 0
6 DE FARIA, JR , NOVOTNY, AA , FEIJOO, RA , TAROCO, E , (2009) FIRST- AND SECOND-ORDER TOPOLOGICAL SENSITIVITY ANALYSIS FOR INCLUSIONS.INVERSE PROBLEMS IN SCIENCE AND ENGINEERING. VOL. 17. ISSUE 5. P. 665-679 21 91% 5
7 JLELI, M , SAMET, B , VIAL, G , (2015) TOPOLOGICAL SENSITIVITY ANALYSIS FOR THE MODIFIED HELMHOLTZ EQUATION UNDER AN IMPEDANCE CONDITION ON THE BOUNDARY OF A HOLE.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES. VOL. 103. ISSUE 2. P. 557 -574 20 80% 2
8 YUAN, H , BRACQ, G , LIN, Q , (2016) INVERSE ACOUSTIC SCATTERING BY SOLID OBSTACLES: TOPOLOGICAL SENSITIVITY AND ITS PRELIMINARY APPLICATION.INVERSE PROBLEMS IN SCIENCE AND ENGINEERING. VOL. 24. ISSUE 1. P. 92 -126 27 60% 0
9 LI, HG , LI, YY , BAO, ES , YIN, BA , (2014) DERIVATIVE ESTIMATES OF SOLUTIONS OF ELLIPTIC SYSTEMS IN NARROW REGIONS.QUARTERLY OF APPLIED MATHEMATICS. VOL. 72. ISSUE 3. P. 589 -596 16 100% 2
10 CAMPEAO, DE , GIUSTI, SM , NOVOTNY, AA , (2014) TOPOLOGY DESIGN OF PLATES CONSIDERING DIFFERENT VOLUME CONTROL METHODS.ENGINEERING COMPUTATIONS. VOL. 31. ISSUE 5. P. 826 -842 19 83% 4

Classes with closest relation at Level 1


Rank Class id link
1 5050 TRANSMISSION EIGENVALUES//INVERSE SCATTERING//LINEAR SAMPLING METHOD
2 27842 MEASURE THEORY//EXISTENCE AND CONVERGENCE OF APPROXIMATE SOLUTIONS//EXTERIOR ELECTROMAGNETIC SHAPING
3 24566 NONPENETRATION CONDITION//DERIVATIVE OF ENERGY FUNCTIONAL//NON PENETRATION
4 1155 TOPOLOGY OPTIMIZATION//STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION//STRESS CONSTRAINTS
5 8884 INVERSE CONDUCTIVITY PROBLEM//DIRICHLET TO NEUMANN MAP//CALDERON PROBLEM
6 13310 DATA COMPLETION//CAUCHY PROBLEM//ROBIN INVERSE PROBLEM
7 18050 OSCILLATING BOUNDARY//OPERATOR ERROR ESTIMATES//PERIODIC DIFFERENTIAL OPERATORS
8 28741 PSEUDOANALYTIC FUNCTION//SPECTRAL PARAMETER POWER SERIES//GENERALIZED ANALYTIC FUNCTIONS
9 21774 THIN DOMAINS//CONCENTRATING TERMS//DUMBBELL DOMAINS
10 30597 FREE SPANNING SUBMARINE PIPELINES//GENERALIZED NAGHDI MODEL//MATH MODELLING TECHNOL PROC

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