Class information for:
Level 1: ISOGEOMETRIC ANALYSIS//NURBS//T SPLINES

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
14835 747 37.5 61%



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
568 3       COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN 16883
1419 2             COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN 7983
14835 1                   ISOGEOMETRIC ANALYSIS//NURBS//T SPLINES 747

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 ISOGEOMETRIC ANALYSIS authKW 9842506 50% 64% 375
2 NURBS authKW 1678083 20% 27% 150
3 T SPLINES authKW 1533464 7% 77% 49
4 T MESH authKW 891351 3% 84% 26
5 FINITE CELL METHOD authKW 784157 4% 71% 27
6 PL GEOMETRY address 448600 4% 37% 30
7 HIERARCHICAL B SPLINES authKW 431747 2% 81% 13
8 BEZIER EXTRACTION authKW 421660 2% 74% 14
9 WEB SPLINE authKW 383772 2% 72% 13
10 LEHRSTUHL BAUINFORMAT address 357958 2% 52% 17

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, Interdisciplinary Applications 34136 48% 0% 361
2 Engineering, General 27553 46% 0% 344
3 Mechanics 13427 46% 0% 346
4 Mathematics, Applied 2180 22% 0% 166
5 Computer Science, Software Engineering 2139 13% 0% 95
6 Computer Science, Interdisciplinary Applications 684 9% 0% 65
7 Materials Science, Composites 133 2% 0% 16
8 Engineering, Mechanical 82 4% 0% 32
9 Engineering, Civil 39 3% 0% 20
10 Physics, Mathematical 19 2% 0% 16

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 PL GEOMETRY 448600 4% 37% 30
2 LEHRSTUHL BAUINFORMAT 357958 2% 52% 17
3 LEHRSTUHL COMPUTAT ENGN 274769 1% 61% 11
4 COMPUTAT ENGN SCI 154569 10% 5% 73
5 IST MATEMAT PLICATA TECNOL INFORMAT E MAGENES 151380 1% 37% 10
6 FAK BAUINGENIEUR VERMESSUNGSWESEN 117811 1% 41% 7
7 METODOS MATEMAT 114158 1% 31% 9
8 LEHRSTUHL STAT 103247 2% 21% 12
9 CREAT INITIAT ISOGEOMETR OPTIMAL DES 102185 1% 50% 5
10 FAK BAUINGN VERMESSUNGSWESEN 93427 1% 57% 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 COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 280838 32% 3% 238
2 COMPUTER AIDED GEOMETRIC DESIGN 51137 5% 3% 39
3 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 17932 8% 1% 60
4 COMPUTATIONAL MECHANICS 17834 4% 1% 33
5 COMPUTER-AIDED DESIGN 13852 4% 1% 32
6 FINITE ELEMENTS IN ANALYSIS AND DESIGN 4273 2% 1% 14
7 GRAPHICAL MODELS 3577 1% 1% 6
8 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 2859 1% 1% 11
9 STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION 2048 1% 1% 10
10 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 1748 3% 0% 21

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 ISOGEOMETRIC ANALYSIS 9842506 50% 64% 375 Search ISOGEOMETRIC+ANALYSIS Search ISOGEOMETRIC+ANALYSIS
2 NURBS 1678083 20% 27% 150 Search NURBS Search NURBS
3 T SPLINES 1533464 7% 77% 49 Search T+SPLINES Search T+SPLINES
4 T MESH 891351 3% 84% 26 Search T+MESH Search T+MESH
5 FINITE CELL METHOD 784157 4% 71% 27 Search FINITE+CELL+METHOD Search FINITE+CELL+METHOD
6 HIERARCHICAL B SPLINES 431747 2% 81% 13 Search HIERARCHICAL+B+SPLINES Search HIERARCHICAL+B+SPLINES
7 BEZIER EXTRACTION 421660 2% 74% 14 Search BEZIER+EXTRACTION Search BEZIER+EXTRACTION
8 WEB SPLINE 383772 2% 72% 13 Search WEB+SPLINE Search WEB+SPLINE
9 NURBS BASIS FUNCTION 340630 1% 83% 10 Search NURBS+BASIS+FUNCTION Search NURBS+BASIS+FUNCTION
10 LOCAL REFINEMENT 336985 4% 28% 29 Search LOCAL+REFINEMENT Search LOCAL+REFINEMENT

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 NGUYEN, VP , ANITESCU, C , BORDAS, SPA , RABCZUK, T , (2015) ISOGEOMETRIC ANALYSIS: AN OVERVIEW AND COMPUTER IMPLEMENTATION ASPECTS.MATHEMATICS AND COMPUTERS IN SIMULATION. VOL. 117. ISSUE . P. 89 -116 92 71% 24
2 DA VEIGA, LB , BUFFA, A , SANGALLI, G , VAZQUEZ, R , (2014) MATHEMATICAL ANALYSIS OF VARIATIONAL ISOGEOMETRIC METHODS.ACTA NUMERICA. VOL. 23. ISSUE . P. 157 -287 86 83% 11
3 HSU, MC , WANG, CL , HERREMA, AJ , SCHILLINGER, D , GHOSHAL, A , BAZILEVS, Y , (2015) AN INTERACTIVE GEOMETRY MODELING AND PARAMETRIC DESIGN PLATFORM FOR ISOGEOMETRIC ANALYSIS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 70. ISSUE 7. P. 1481 -1500 90 78% 2
4 RUESS, M , SCHILLINGER, D , OZCAN, AI , RANK, E , (2014) WEAK COUPLING FOR ISOGEOMETRIC ANALYSIS OF NON-MATCHING AND TRIMMED MULTI-PATCH GEOMETRIES.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL. 269. ISSUE . P. 46 -71 54 77% 29
5 EVANS, EJ , SCOTT, MA , LI, X , THOMAS, DC , (2015) HIERARCHICAL T-SPLINES: ANALYSIS-SUITABILITY, BEZIER EXTRACTION, AND APPLICATION AS AN ADAPTIVE BASIS FOR ISOGEOMETRIC ANALYSIS.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL. 284. ISSUE . P. 1 -20 44 88% 18
6 SCOTT, MA , LI, X , SEDERBERG, TW , HUGHES, TJR , (2012) LOCAL REFINEMENT OF ANALYSIS-SUITABLE T-SPLINES.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL. 213. ISSUE . P. 206-222 40 87% 103
7 SCHILLINGER, D , EVANS, JA , REALI, A , SCOTT, MA , HUGHES, TJR , (2013) ISOGEOMETRIC COLLOCATION: COST COMPARISON WITH GALERKIN METHODS AND EXTENSION TO ADAPTIVE HIERARCHICAL NURBS DISCRETIZATIONS.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL. 267. ISSUE . P. 170-232 54 64% 64
8 SCOTT, MA , SIMPSON, RN , EVANS, JA , LIPTON, S , BORDAS, SPA , HUGHES, TJR , SEDERBERG, TW , (2013) ISOGEOMETRIC BOUNDARY ELEMENT ANALYSIS USING UNSTRUCTURED T-SPLINES.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL. 254. ISSUE . P. 197 -221 51 61% 93
9 THOMAS, DC , SCOTT, MA , EVANS, JA , TEW, K , EVANS, EJ , (2015) BEZIER PROJECTION: A UNIFIED APPROACH FOR LOCAL PROJECTION AND QUADRATURE-FREE REFINEMENT AND COARSENING OF NURBS AND T-SPLINES WITH PARTICULAR APPLICATION TO ISOGEOMETRIC DESIGN AND ANALYSIS.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL. 284. ISSUE . P. 55 -105 49 72% 13
10 LI, X , CHEN, FL , KANG, HM , DENG, JS , (2016) A SURVEY ON THE LOCAL REFINABLE SPLINES.SCIENCE CHINA-MATHEMATICS. VOL. 59. ISSUE 4. P. 617 -644 52 81% 0

Classes with closest relation at Level 1



Rank Class id link
1 15840 BIVARIATE SPLINES//TRIVARIATE SPLINES//DISCRETE QUASI INTERPOLANTS
2 4674 EXTENDED FINITE ELEMENT METHOD//XFEM//X FEM
3 2302 FLUID STRUCTURE INTERACTION//STABILIZED FINITE ELEMENTS//COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
4 34095 CUSPED PLATES//CUSPED PRISMATIC SHELLS//KORNS WEIGHTED INEQUALITY
5 17119 COMPUTER AIDED GEOMETRIC DESIGN//G1 CONTINUITY//SURFACE BLENDING
6 1398 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING//REISSNER MINDLIN PLATE//ENHANCED ASSUMED STRAIN
7 14999 SUBDIVISION SURFACES//SUBDIVISION SCHEMES//SUBDIVISION
8 23459 CONVOLUTION SURFACE//HETEROGENEOUS OBJECT MODELING//IMPLICIT SURFACES
9 6993 CONTACT//MORTAR METHOD//DUAL LAGRANGE MULTIPLIERS
10 22622 CUBATURE//APPROXIMATE FEKETE POINTS//PADUA POINTS

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