Class information for:
Level 2: INVERSE PROBLEMS//INVERSE SCATTERING//TOPOLOGICAL DERIVATIVE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1984 5575 21.0 46%


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
5050 1                   TRANSMISSION EIGENVALUES//INVERSE SCATTERING//LINEAR SAMPLING METHOD 1682
8884 1                   INVERSE CONDUCTIVITY PROBLEM//DIRICHLET TO NEUMANN MAP//CALDERON PROBLEM 1208
13310 1                   DATA COMPLETION//CAUCHY PROBLEM//ROBIN INVERSE PROBLEM 846
18570 1                   UNIQUE CONTINUATION//STRONG UNIQUE CONTINUATION//SIZE ESTIMATES 546
19672 1                   TOPOLOGICAL DERIVATIVE//TOPOLOGICAL SENSITIVITY//TOPOLOGICAL GRADIENT 495
27842 1                   MEASURE THEORY//EXISTENCE AND CONVERGENCE OF APPROXIMATE SOLUTIONS//EXTERIOR ELECTROMAGNETIC SHAPING 219
27861 1                   WAVE SCATTERING BY SMALL BODIES//MANY BODY SCATTERING PROBLEM//REFRACTION COEFFICIENT 219
28741 1                   PSEUDOANALYTIC FUNCTION//SPECTRAL PARAMETER POWER SERIES//GENERALIZED ANALYTIC FUNCTIONS 200
30984 1                   RADIATING SOLUTIONS//VOLUME SINGULAR INTEGRAL EQUATION//EVOLUTIONARY EQUATIONS 160

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 INVERSE PROBLEMS journal 754740 12% 20% 686
2 INVERSE SCATTERING authKW 457421 5% 33% 257
3 TOPOLOGICAL DERIVATIVE authKW 328494 2% 66% 91
4 TRANSMISSION EIGENVALUES authKW 298641 1% 91% 60
5 INVERSE PROBLEMS AND IMAGING journal 230915 3% 30% 141
6 INVERSE CONDUCTIVITY PROBLEM authKW 226031 1% 81% 51
7 INVERSE BOUNDARY VALUE PROBLEM authKW 207317 1% 70% 54
8 LINEAR SAMPLING METHOD authKW 182216 1% 79% 42
9 TOPOLOGICAL SENSITIVITY authKW 175193 1% 80% 40
10 UNIQUE CONTINUATION authKW 174533 1% 47% 68

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 125291 59% 1% 3292
2 Physics, Mathematical 31063 21% 1% 1182
3 Mathematics 23323 29% 0% 1600
4 Mechanics 3308 9% 0% 521
5 Mathematics, Interdisciplinary Applications 3121 6% 0% 323
6 Engineering, General 2969 6% 0% 336
7 Acoustics 806 3% 0% 145
8 Computer Science, Interdisciplinary Applications 322 3% 0% 151
9 Automation & Control Systems 119 1% 0% 76
10 Computer Science, Software Engineering 105 2% 0% 84

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 NCTS TAIPEI 98555 0% 100% 18
2 UMR 7641 84951 1% 21% 73
3 NUMER ANGEW MATH 58612 1% 20% 54
4 LAMSIN 53185 0% 36% 27
5 MATH 36271 31% 0% 1701
6 POEMS 28121 0% 21% 24
7 NUMER PL MATH 24148 0% 17% 26
8 INRIA SACLAY ILE FRANCE 23829 0% 31% 14
9 MATH PL 23376 2% 3% 124
10 DIMAD 23116 0% 33% 13

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 INVERSE PROBLEMS 754740 12% 20% 686
2 INVERSE PROBLEMS AND IMAGING 230915 3% 30% 141
3 JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 74382 1% 19% 72
4 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 63051 4% 6% 204
5 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 38038 2% 5% 130
6 APPLICABLE ANALYSIS 31504 2% 6% 92
7 INVERSE PROBLEMS IN SCIENCE AND ENGINEERING 29778 1% 8% 67
8 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 27700 2% 4% 137
9 SIAM JOURNAL ON APPLIED MATHEMATICS 27480 2% 4% 132
10 IMA JOURNAL OF APPLIED MATHEMATICS 10953 1% 4% 54

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 INVERSE SCATTERING 457421 5% 33% 257 Search INVERSE+SCATTERING Search INVERSE+SCATTERING
2 TOPOLOGICAL DERIVATIVE 328494 2% 66% 91 Search TOPOLOGICAL+DERIVATIVE Search TOPOLOGICAL+DERIVATIVE
3 TRANSMISSION EIGENVALUES 298641 1% 91% 60 Search TRANSMISSION+EIGENVALUES Search TRANSMISSION+EIGENVALUES
4 INVERSE CONDUCTIVITY PROBLEM 226031 1% 81% 51 Search INVERSE+CONDUCTIVITY+PROBLEM Search INVERSE+CONDUCTIVITY+PROBLEM
5 INVERSE BOUNDARY VALUE PROBLEM 207317 1% 70% 54 Search INVERSE+BOUNDARY+VALUE+PROBLEM Search INVERSE+BOUNDARY+VALUE+PROBLEM
6 LINEAR SAMPLING METHOD 182216 1% 79% 42 Search LINEAR+SAMPLING+METHOD Search LINEAR+SAMPLING+METHOD
7 TOPOLOGICAL SENSITIVITY 175193 1% 80% 40 Search TOPOLOGICAL+SENSITIVITY Search TOPOLOGICAL+SENSITIVITY
8 UNIQUE CONTINUATION 174533 1% 47% 68 Search UNIQUE+CONTINUATION Search UNIQUE+CONTINUATION
9 HELMHOLTZ EQUATION 170496 3% 17% 186 Search HELMHOLTZ+EQUATION Search HELMHOLTZ+EQUATION
10 INVERSE SCATTERING PROBLEM 169554 1% 42% 73 Search INVERSE+SCATTERING+PROBLEM Search INVERSE+SCATTERING+PROBLEM

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 POTTHAST, R , (2006) A SURVEY ON SAMPLING AND PROBE METHODS FOR INVERSE PROBLEMS.INVERSE PROBLEMS. VOL. 22. ISSUE 2. P. R1-R47 65 98% 97
2 BILOTTA, A , TURCO, E , (2017) NUMERICAL SENSITIVITY ANALYSIS OF CORROSION DETECTION.MATHEMATICS AND MECHANICS OF SOLIDS. VOL. 22. ISSUE 1. P. 72 -88 35 59% 4
3 UHLMANN, G , (2014) INVERSE PROBLEMS: SEEING THE UNSEEN.BULLETIN OF MATHEMATICAL SCIENCES. VOL. 4. ISSUE 2. P. 209 -279 91 62% 2
4 UHLMANN, G , (2009) ELECTRICAL IMPEDANCE TOMOGRAPHY AND CALDERON'S PROBLEM.INVERSE PROBLEMS. VOL. 25. ISSUE 12. P. - 71 73% 93
5 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
6 CHENG, XL , GONG, RF , HAN, W , (2016) A COUPLED COMPLEX BOUNDARY METHOD FOR THE CAUCHY PROBLEM.INVERSE PROBLEMS IN SCIENCE AND ENGINEERING. VOL. 24. ISSUE 9. P. 1510 -1527 44 94% 0
7 COLTON, D , KRESS, R , (2006) USING FUNDAMENTAL SOLUTIONS IN INVERSE SCATTERING.INVERSE PROBLEMS. VOL. 22. ISSUE 3. P. R49 -R66 47 100% 53
8 PARK, WK , (2015) MULTI-FREQUENCY SUBSPACE MIGRATION FOR IMAGING OF PERFECTLY CONDUCTING, ARC-LIKE CRACKS IN FULL- AND LIMITED-VIEW INVERSE SCATTERING PROBLEMS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 283. ISSUE . P. 52 -80 44 92% 0
9 BROWN, BM , MARLETTA, M , REYES, JM , (2016) UNIQUENESS FOR AN INVERSE PROBLEM IN ELECTROMAGNETISM WITH PARTIAL DATA.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 260. ISSUE 8. P. 6525 -6547 42 91% 0
10 BAO, G , CUI, T , LI, PJ , (2014) INVERSE DIFFRACTION GRATING OF MAXWELL'S EQUATIONS IN BIPERIODIC STRUCTURES.OPTICS EXPRESS. VOL. 22. ISSUE 4. P. 4799-4816 41 93% 2

Classes with closest relation at Level 2


Rank Class id link
1 1985 ILL POSED PROBLEM//INVERSE HEAT CONDUCTION PROBLEM//DISCREPANCY PRINCIPLE
2 2332 ELECTRICAL IMPEDANCE TOMOGRAPHY//ELECTRICAL CAPACITANCE TOMOGRAPHY//PHYSIOLOGICAL MEASUREMENT
3 2039 GROUND PENETRATING RADAR//MICROWAVE IMAGING//GROUND PENETRATING RADAR GPR
4 2139 DISTRIBUTED PARAMETER SYSTEMS//CARLEMAN ESTIMATES//NULL CONTROLLABILITY
5 2568 HOMOGENIZATION//TWO SCALE CONVERGENCE//PERFORATED DOMAINS
6 1289 ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//BOUNDARY ELEMENT METHOD//METHOD OF FUNDAMENTAL SOLUTIONS
7 1851 TOPOLOGY OPTIMIZATION//STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION//STRUCTURAL OPTIMIZATION
8 1111 ANNALES HENRI POINCARE//COMMUNICATIONS IN MATHEMATICAL PHYSICS//SCHRODINGER OPERATOR
9 3300 FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES//QUASISTATIC EVOLUTION
10 1449 ABSORBING BOUNDARY CONDITIONS//PERFECTLY MATCHED LAYER//FINITE DIFFERENCE TIME DOMAIN FDTD METHOD

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