Class information for:
Level 1: CLOSEST POINT METHOD//EVOLVING SURFACES//EVOLVING SURFACE FINITE ELEMENT METHOD

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
30584 166 30.7 60%


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
355 3       PERMANENCE//GLOBAL STABILITY//HOPF BIFURCATION 34946
3627 2             PIGMENT PATTERN//GROWING DOMAIN//XANTHOPHORE 1223
30584 1                   CLOSEST POINT METHOD//EVOLVING SURFACES//EVOLVING SURFACE FINITE ELEMENT METHOD 166

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 CLOSEST POINT METHOD authKW 1064269 5% 64% 9
2 EVOLVING SURFACES authKW 1064269 5% 64% 9
3 EVOLVING SURFACE FINITE ELEMENT METHOD authKW 735795 2% 100% 4
4 SURFACE FINITE ELEMENTS authKW 662211 4% 60% 6
5 SURFACE PARTIAL DIFFERENTIAL EQUATIONS authKW 656957 3% 71% 5
6 PDES ON SURFACES authKW 602009 4% 55% 6
7 SURFACE FINITE ELEMENT METHOD authKW 588634 2% 80% 4
8 BOUNDARY VALUE PROBLEMS ON SURFACES authKW 551846 2% 100% 3
9 SURFACE PDE authKW 551846 2% 100% 3
10 GEOMETRIC EVOLUTION LAW authKW 413883 2% 75% 3

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 4129 62% 0% 103
2 Physics, Mathematical 969 22% 0% 36
3 Computer Science, Interdisciplinary Applications 667 17% 0% 29
4 Mathematics, Interdisciplinary Applications 150 7% 0% 12
5 Engineering, General 88 6% 0% 10
6 Mathematics 79 11% 0% 18
7 Mechanics 66 8% 0% 13
8 Computer Science, Software Engineering 59 5% 0% 8
9 Physics, Fluids & Plasmas 38 4% 0% 7
10 Mathematical & Computational Biology 36 3% 0% 5

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 ABT ANGEW MATH 274769 7% 14% 11
2 DIPARTIMENTO MATEMAT F BRIOSHI 183949 1% 100% 1
3 GEOMETRIE FRAKT MATH 183949 1% 100% 1
4 MATH SCI COMP SCI ENGN 183949 1% 100% 1
5 NATURWISSEN FAK 1 MATH 183949 1% 100% 1
6 GEOMETRIE PRAKT MATH 148790 7% 7% 12
7 NCMISAMSS 147157 1% 40% 2
8 DEN DM2S SFME LTMF 61315 1% 33% 1
9 NUMER ANAL LINNE FLOW 61315 1% 33% 1
10 CRYSTAL GROWTH GRP 50162 2% 9% 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 INTERFACES AND FREE BOUNDARIES 14140 3% 2% 5
2 IMA JOURNAL OF NUMERICAL ANALYSIS 12710 6% 1% 10
3 JOURNAL OF COMPUTATIONAL PHYSICS 9498 14% 0% 24
4 SIAM JOURNAL ON NUMERICAL ANALYSIS 8802 8% 0% 14
5 SIAM JOURNAL ON SCIENTIFIC COMPUTING 6433 7% 0% 11
6 ACTA NUMERICA 6341 1% 3% 1
7 JOURNAL OF SCIENTIFIC COMPUTING 6198 4% 0% 7
8 COMMUNICATIONS IN MATHEMATICAL SCIENCES 4091 2% 1% 4
9 NUMERISCHE MATHEMATIK 2213 4% 0% 6
10 FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 1868 1% 1% 2

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 CLOSEST POINT METHOD 1064269 5% 64% 9 Search CLOSEST+POINT+METHOD Search CLOSEST+POINT+METHOD
2 EVOLVING SURFACES 1064269 5% 64% 9 Search EVOLVING+SURFACES Search EVOLVING+SURFACES
3 EVOLVING SURFACE FINITE ELEMENT METHOD 735795 2% 100% 4 Search EVOLVING+SURFACE+FINITE+ELEMENT+METHOD Search EVOLVING+SURFACE+FINITE+ELEMENT+METHOD
4 SURFACE FINITE ELEMENTS 662211 4% 60% 6 Search SURFACE+FINITE+ELEMENTS Search SURFACE+FINITE+ELEMENTS
5 SURFACE PARTIAL DIFFERENTIAL EQUATIONS 656957 3% 71% 5 Search SURFACE+PARTIAL+DIFFERENTIAL+EQUATIONS Search SURFACE+PARTIAL+DIFFERENTIAL+EQUATIONS
6 PDES ON SURFACES 602009 4% 55% 6 Search PDES+ON+SURFACES Search PDES+ON+SURFACES
7 SURFACE FINITE ELEMENT METHOD 588634 2% 80% 4 Search SURFACE+FINITE+ELEMENT+METHOD Search SURFACE+FINITE+ELEMENT+METHOD
8 BOUNDARY VALUE PROBLEMS ON SURFACES 551846 2% 100% 3 Search BOUNDARY+VALUE+PROBLEMS+ON+SURFACES Search BOUNDARY+VALUE+PROBLEMS+ON+SURFACES
9 SURFACE PDE 551846 2% 100% 3 Search SURFACE+PDE Search SURFACE+PDE
10 GEOMETRIC EVOLUTION LAW 413883 2% 75% 3 Search GEOMETRIC+EVOLUTION+LAW Search GEOMETRIC+EVOLUTION+LAW

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 DZIUK, G , ELLIOTT, CM , (2013) FINITE ELEMENT METHODS FOR SURFACE PDES.ACTA NUMERICA. VOL. 22. ISSUE . P. 289 -396 37 53% 49
2 ELLIOTT, CM , STYLES, V , (2012) AN ALE ESFEM FOR SOLVING PDES ON EVOLVING SURFACES.MILAN JOURNAL OF MATHEMATICS. VOL. 80. ISSUE 2. P. 469-501 33 69% 6
3 DZIUK, G , ELLIOTT, CM , (2013) L-2-ESTIMATES FOR THE EVOLVING SURFACE FINITE ELEMENT METHOD.MATHEMATICS OF COMPUTATION. VOL. 82. ISSUE 281. P. 1 -24 22 92% 10
4 ELLIOTT, CM , STINNER, B , STYLES, V , WELFORD, R , (2011) NUMERICAL COMPUTATION OF ADVECTION AND DIFFUSION ON EVOLVING DIFFUSE INTERFACES.IMA JOURNAL OF NUMERICAL ANALYSIS. VOL. 31. ISSUE 3. P. 786 -812 23 70% 19
5 DECKELNICK, K , ELLIOTT, CM , RANNER, T , (2014) UNFITTED FINITE ELEMENT METHODS USING BULK MESHES FOR SURFACE PARTIAL DIFFERENTIAL EQUATIONS.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 52. ISSUE 4. P. 2137 -2162 20 69% 4
6 ELLIOTT, CM , VENKATARAMAN, C , (2015) ERROR ANALYSIS FOR AN ALE EVOLVING SURFACE FINITE ELEMENT METHOD.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. VOL. 31. ISSUE 2. P. 459 -499 14 93% 1
7 REUSKEN, A , (2015) ANALYSIS OF TRACE FINITE ELEMENT METHODS FOR SURFACE PARTIAL DIFFERENTIAL EQUATIONS.IMA JOURNAL OF NUMERICAL ANALYSIS. VOL. 35. ISSUE 4. P. 1568 -1590 14 88% 1
8 BURMAN, E , HANSBO, P , LARSO, MG , MASSING, A , ZAHEDI, S , (2016) FULL GRADIENT STABILIZED CUT FINITE ELEMENT METHODS FOR SURFACE PARTIAL DIFFERENTIAL EQUATIONS.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL. 310. ISSUE . P. 278 -296 15 79% 0
9 KRONER, H , (2017) APPROXIMATIVE GREEN'S FUNCTIONS ON SURFACES AND POINTWISE ERROR ESTIMATES FOR THE FINITE ELEMENT METHOD.COMPUTATIONAL METHODS IN APPLIED MATHEMATICS. VOL. 17. ISSUE 1. P. 51 -64 14 82% 0
10 LUBICH, C , MANSOUR, D , (2015) VARIATIONAL DISCRETIZATION OF WAVE EQUATIONS ON EVOLVING SURFACES.MATHEMATICS OF COMPUTATION. VOL. 84. ISSUE 292. P. 513 -542 12 92% 2

Classes with closest relation at Level 1


Rank Class id link
1 6182 VOLUME OF FLUID//INTERFACE TRACKING//VOLUME OF FLUID METHOD
2 16501 PIGMENT PATTERN//GROWING DOMAIN//XANTHOPHORE
3 6982 CAHN HILLIARD EQUATION//CAHN HILLIARD//EXPONENTIAL ATTRACTOR
4 7899 MEAN CURVATURE FLOW//CURVATURE FLOW//SELF SHRINKER
5 32239 ORIENTED DISTANCE FUNCTION//FEATURELESS OBJECTS//CIRCULANT SYMMETRY
6 19052 WILLMORE FUNCTIONAL//ELASTIC CURVES//WILLMORE SURFACES
7 16927 FLUID SIMULATION//PHYSICALLY BASED ANIMATION//NATURAL PHENOMENA
8 22362 PHASE FIELD CRYSTAL//PHASE FIELD CRYSTAL MODEL//DYNAMICAL DENSITY FUNCTIONAL THEORY
9 6932 IMMERSED BOUNDARY METHOD//IMMERSED INTERFACE METHOD//IMMERSED BOUNDARY
10 28662 AIRWAYS CLOSURE//PULMONARY FLUID MECHANICS//SURFACTANT REPLACEMENT THERAPY

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