Class information for:
Level 1: MEASURE THEORY//EXISTENCE AND CONVERGENCE OF APPROXIMATE SOLUTIONS//EXTERIOR ELECTROMAGNETIC SHAPING

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
27842 219 17.5 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
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
27842 1                   MEASURE THEORY//EXISTENCE AND CONVERGENCE OF APPROXIMATE SOLUTIONS//EXTERIOR ELECTROMAGNETIC SHAPING 219

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 MEASURE THEORY authKW 332992 8% 14% 17
2 EXISTENCE AND CONVERGENCE OF APPROXIMATE SOLUTIONS authKW 278862 1% 100% 2
3 EXTERIOR ELECTROMAGNETIC SHAPING authKW 278862 1% 100% 2
4 OPTIMAL SHAPE DESIGN PROBLEM authKW 278862 1% 100% 2
5 OPTIMIZATION ON SHAPE MANIFOLDS authKW 278862 1% 100% 2
6 SECOND ORDER SHAPE DERIVATIVE authKW 278862 1% 100% 2
7 ELECTROMAGNETIC SHAPING authKW 248977 2% 36% 5
8 OPTIMAL SHAPE DESIGN authKW 203248 5% 13% 11
9 AXISYMMETRIC SHAPE authKW 185907 1% 67% 2
10 PDE CONSTRAINED SHAPE OPTIMIZATION authKW 185907 1% 67% 2

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 2607 43% 0% 95
2 Mechanics 1239 26% 0% 58
3 Physics, Fluids & Plasmas 792 15% 0% 33
4 Operations Research & Management Science 203 7% 0% 16
5 Engineering, General 202 8% 0% 17
6 Automation & Control Systems 187 6% 0% 14
7 Computer Science, Cybernetics 121 2% 0% 5
8 Mathematics, Interdisciplinary Applications 89 5% 0% 11
9 Mathematics 53 8% 0% 18
10 Computer Science, Interdisciplinary Applications 36 4% 0% 9

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 EXCELLENT SOFT COMP INTELLIGENT INFORMAT PR 139431 0% 100% 1
2 MATH IECN 139431 0% 100% 1
3 RECH CALEO SYST ESSUYAGE 139431 0% 100% 1
4 UTAD SCI 139431 0% 100% 1
5 ANTENNE BRETAGNE ENS CACHAN 69714 0% 50% 1
6 MATH JEAN ALEXANDRE DIEUDONNE 69712 1% 25% 2
7 LEHRSTUHL OPTIMALE STEUERUNG 46476 0% 33% 1
8 LSTC 46476 0% 33% 1
9 ESTRUCT TRANSPORTE 39834 1% 14% 2
10 FB MATH 4 22810 1% 5% 3

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 ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 10697 5% 1% 10
2 COMPUTATIONAL METHODS IN APPLIED MATHEMATICS 9359 1% 2% 3
3 JOURNAL DE MECANIQUE THEORIQUE ET APPLIQUEE 6312 2% 1% 4
4 CONTROL AND CYBERNETICS 5471 2% 1% 5
5 EUROPEAN JOURNAL OF MECHANICS B-FLUIDS 4060 3% 0% 7
6 ZEITSCHRIFT FUR FLUGWISSENSCHAFTEN UND WELTRAUMFORSCHUNG 3040 1% 1% 3
7 TECHNICAL PHYSICS LETTERS 2598 5% 0% 11
8 STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION 2527 3% 0% 6
9 OPTIMIZATION METHODS & SOFTWARE 2241 2% 0% 4
10 JOURNAL OF FLUID MECHANICS 2043 7% 0% 15

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 MEASURE THEORY 332992 8% 14% 17 Search MEASURE+THEORY Search MEASURE+THEORY
2 EXISTENCE AND CONVERGENCE OF APPROXIMATE SOLUTIONS 278862 1% 100% 2 Search EXISTENCE+AND+CONVERGENCE+OF+APPROXIMATE+SOLUTIONS Search EXISTENCE+AND+CONVERGENCE+OF+APPROXIMATE+SOLUTIONS
3 EXTERIOR ELECTROMAGNETIC SHAPING 278862 1% 100% 2 Search EXTERIOR+ELECTROMAGNETIC+SHAPING Search EXTERIOR+ELECTROMAGNETIC+SHAPING
4 OPTIMAL SHAPE DESIGN PROBLEM 278862 1% 100% 2 Search OPTIMAL+SHAPE+DESIGN+PROBLEM Search OPTIMAL+SHAPE+DESIGN+PROBLEM
5 OPTIMIZATION ON SHAPE MANIFOLDS 278862 1% 100% 2 Search OPTIMIZATION+ON+SHAPE+MANIFOLDS Search OPTIMIZATION+ON+SHAPE+MANIFOLDS
6 SECOND ORDER SHAPE DERIVATIVE 278862 1% 100% 2 Search SECOND+ORDER+SHAPE+DERIVATIVE Search SECOND+ORDER+SHAPE+DERIVATIVE
7 ELECTROMAGNETIC SHAPING 248977 2% 36% 5 Search ELECTROMAGNETIC+SHAPING Search ELECTROMAGNETIC+SHAPING
8 OPTIMAL SHAPE DESIGN 203248 5% 13% 11 Search OPTIMAL+SHAPE+DESIGN Search OPTIMAL+SHAPE+DESIGN
9 AXISYMMETRIC SHAPE 185907 1% 67% 2 Search AXISYMMETRIC+SHAPE Search AXISYMMETRIC+SHAPE
10 PDE CONSTRAINED SHAPE OPTIMIZATION 185907 1% 67% 2 Search PDE+CONSTRAINED+SHAPE+OPTIMIZATION Search PDE+CONSTRAINED+SHAPE+OPTIMIZATION

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 ZUBAREV, NM , ZUBAREVA, OV , (2011) EQUILIBRIUM CONFIGURATIONS OF THE CONDUCTING LIQUID SURFACE IN A NONUNIFORM ELECTRIC FIELD.TECHNICAL PHYSICS. VOL. 56. ISSUE 1. P. 38 -48 13 100% 0
2 ZUBAREV, NM , ZUBAREVA, OV , (2007) EXACT SOLUTIONS FOR SHAPES OF TWO-DIMENSIONAL BUBBLES IN A CORNER FLOW.PHYSICS OF FLUIDS. VOL. 19. ISSUE 10. P. - 13 100% 3
3 ZUBAREV, NM , ZUBAREVA, OV , (2016) EXACT SOLUTIONS FOR EQUILIBRIUM CONFIGURATIONS OF THE SURFACE OF A CONDUCTING FLUID IN A NONUNIFORM MAGNETIC FIELD.THEORETICAL AND MATHEMATICAL PHYSICS. VOL. 188. ISSUE 3. P. 1394 -1400 10 100% 0
4 BLYTH, MG , VANDEN-BROECK, JM , (2005) MAGNETIC SHAPING OF A LIQUID METAL COLUMN AND DEFORMATION OF A BUBBLE IN A VORTEX FLOW.SIAM JOURNAL ON APPLIED MATHEMATICS. VOL. 66. ISSUE 1. P. 174 -186 14 78% 9
5 SHIN, JM , SPICER, JP , ABELL, JA , (2012) INVERSE AND DIRECT MAGNETIC SHAPING PROBLEMS.STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION. VOL. 46. ISSUE 2. P. 285-301 11 79% 2
6 CANELAS, A , ROCHE, JR , (2014) TOPOLOGY OPTIMIZATION IN ELECTROMAGNETIC CASTING VIA QUADRATIC PROGRAMMING.INVERSE PROBLEMS IN SCIENCE AND ENGINEERING. VOL. 22. ISSUE 3. P. 419-435 14 56% 0
7 ZUBAREV, NM , ZUBAREVA, OV , (2012) EXACT SOLUTIONS FOR THE SHAPE OF A TWO-DIMENSIONAL CONDUCTING LIQUID DROP IN A NON-UNIFORM ELECTRIC FIELD.PHYSICA D-NONLINEAR PHENOMENA. VOL. 241. ISSUE 9. P. 921-928 13 59% 0
8 ZUBAREV, NM , ZUBAREVA, OV , (2016) EQUILIBRIUM CONFIGURATIONS OF A JET OF AN IDEALLY CONDUCTING LIQUID IN AN EXTERNAL NONUNIFORM MAGNETIC FIELD.TECHNICAL PHYSICS. VOL. 61. ISSUE 6. P. 826 -834 9 75% 0
9 ZUBAREV, NM , ZUBAREVA, OV , (2012) TWO-PARAMETRIC FAMILY OF EXACT SOLUTIONS FOR THE PROFILE OF THE SURFACE OF A CONDUCTING LIQUID IN A NONUNIFORM ELECTRIC FIELD.TECHNICAL PHYSICS. VOL. 57. ISSUE 12. P. 1739 -1741 7 100% 0
10 CANELAS, A , ROCHE, JR , HERSKOVITS, J , (2009) INDUCTOR SHAPE OPTIMIZATION FOR ELECTROMAGNETIC CASTING.STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION. VOL. 39. ISSUE 6. P. 589-606 13 57% 2

Classes with closest relation at Level 1


Rank Class id link
1 28741 PSEUDOANALYTIC FUNCTION//SPECTRAL PARAMETER POWER SERIES//GENERALIZED ANALYTIC FUNCTIONS
2 19672 TOPOLOGICAL DERIVATIVE//TOPOLOGICAL SENSITIVITY//TOPOLOGICAL GRADIENT
3 15989 BERNOULLI PROBLEM//FREE BOUNDARY PROBLEM//FREE BOUNDARY
4 19764 MATH MODELLING ENVIRONM TECHNOL PROC//MAGNETOHYDRODYNAMICS//MHD
5 19858 TECHNICAL PHYSICS//OPTICALLY INHOMOGENEOUS MEDIUM//STRUCTURED LASER RADIATION
6 30597 FREE SPANNING SUBMARINE PIPELINES//GENERALIZED NAGHDI MODEL//MATH MODELLING TECHNOL PROC
7 9075 ELECTROMAGNETIC PROCESSING OF MATERIALS//ELECTROMAGNETIC VIBRATION//ELECTROMAGNETIC CASTING
8 14485 VISCOUS POTENTIAL FLOW//VISCOUS CORRECTION//CAPILLARY INSTABILITY
9 15498 FORCED KORTEWEG DE VRIES EQUATION//SELECTIVE WITHDRAWAL//HYDRAULIC FALLS
10 13310 DATA COMPLETION//CAUCHY PROBLEM//ROBIN INVERSE PROBLEM

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