Class information for:
Level 1: TREFFTZ METHOD//EFFECTIVE CONDITION NUMBER//SINGULARITY PROBLEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19246 515 24.5 38%


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
1289 2             ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//BOUNDARY ELEMENT METHOD//METHOD OF FUNDAMENTAL SOLUTIONS 8679
19246 1                   TREFFTZ METHOD//EFFECTIVE CONDITION NUMBER//SINGULARITY PROBLEM 515

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 TREFFTZ METHOD authKW 1078403 10% 37% 49
2 EFFECTIVE CONDITION NUMBER authKW 533600 3% 50% 18
3 SINGULARITY PROBLEM authKW 519228 3% 52% 17
4 BOUNDARY APPROXIMATION METHOD authKW 421622 2% 89% 8
5 MOTZS PROBLEM authKW 369422 2% 69% 9
6 COLLOCATION TREFFTZ METHOD authKW 358700 2% 55% 11
7 SHORTLEY WELLER APPROXIMATION authKW 355745 1% 100% 6
8 COONS INTERPOLATION authKW 304923 1% 86% 6
9 BLOCK GRID METHOD authKW 296454 1% 100% 5
10 CRACK SINGULARITY authKW 296454 1% 100% 5

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 Engineering, General 14561 40% 0% 208
2 Mathematics, Interdisciplinary Applications 12212 35% 0% 180
3 Mathematics, Applied 3387 33% 0% 168
4 Mechanics 2635 25% 0% 130
5 Computer Science, Interdisciplinary Applications 979 12% 0% 63
6 Engineering, Civil 295 7% 0% 37
7 Computer Science, Software Engineering 140 4% 0% 22
8 Engineering, Mechanical 44 4% 0% 20
9 Materials Science, Characterization, Testing 22 1% 0% 5
10 Physics, Mathematical 22 3% 0% 13

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 SCI ENGN COMPUTAT 170889 1% 41% 7
2 CHAIR PL INFORMAT MATH 118582 0% 100% 2
3 MANAGEMENT COMP MODELLING 86228 2% 18% 8
4 AEROSP EDUC 68608 3% 9% 13
5 ENGN CIVIL ARQUITECRURA 59291 0% 100% 1
6 INFORMAT SCI CHIKUSA KU 59291 0% 100% 1
7 INT ABORATORY FUNDAMENTAL STUDIES ENGN SCI IC 59291 0% 100% 1
8 MECH ENGN MINAMI KU 59291 0% 100% 1
9 NALT THEORET SCI 59291 0% 100% 1
10 POWER PL MECH 59291 0% 100% 1

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 ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 49995 10% 2% 50
2 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 17366 10% 1% 49
3 ADVANCES IN ENGINEERING SOFTWARE 9599 4% 1% 19
4 FINITE ELEMENTS IN ANALYSIS AND DESIGN 9164 3% 1% 17
5 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 8587 3% 1% 14
6 CMC-COMPUTERS MATERIALS & CONTINUA 7753 2% 1% 9
7 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 6193 3% 1% 14
8 COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING 5832 2% 1% 12
9 COMPUTERS & STRUCTURES 5454 6% 0% 29
10 RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING 4303 1% 1% 7

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 TREFFTZ METHOD 1078403 10% 37% 49 Search TREFFTZ+METHOD Search TREFFTZ+METHOD
2 EFFECTIVE CONDITION NUMBER 533600 3% 50% 18 Search EFFECTIVE+CONDITION+NUMBER Search EFFECTIVE+CONDITION+NUMBER
3 SINGULARITY PROBLEM 519228 3% 52% 17 Search SINGULARITY+PROBLEM Search SINGULARITY+PROBLEM
4 BOUNDARY APPROXIMATION METHOD 421622 2% 89% 8 Search BOUNDARY+APPROXIMATION+METHOD Search BOUNDARY+APPROXIMATION+METHOD
5 MOTZS PROBLEM 369422 2% 69% 9 Search MOTZS+PROBLEM Search MOTZS+PROBLEM
6 COLLOCATION TREFFTZ METHOD 358700 2% 55% 11 Search COLLOCATION+TREFFTZ+METHOD Search COLLOCATION+TREFFTZ+METHOD
7 SHORTLEY WELLER APPROXIMATION 355745 1% 100% 6 Search SHORTLEY+WELLER+APPROXIMATION Search SHORTLEY+WELLER+APPROXIMATION
8 COONS INTERPOLATION 304923 1% 86% 6 Search COONS+INTERPOLATION Search COONS+INTERPOLATION
9 BLOCK GRID METHOD 296454 1% 100% 5 Search BLOCK+GRID+METHOD Search BLOCK+GRID+METHOD
10 CRACK SINGULARITY 296454 1% 100% 5 Search CRACK+SINGULARITY Search CRACK+SINGULARITY

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 KITA, E , KAMIYA, N , IIO, T , (1999) APPLICATION OF A DIRECT TREFFTZ METHOD WITH DOMAIN DECOMPOSITION TO 2D POTENTIAL PROBLEMS.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. VOL. 23. ISSUE 7. P. 539 -548 33 97% 22
2 LI, ZC , LU, TT , HUANG, HT , CHENG, AHD , (2007) TREFFTZ, COLLOCATION, AND OTHER BOUNDARY METHODS - A COMPARISON.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. VOL. 23. ISSUE 1. P. 93-144 42 47% 49
3 JIROUSEK, J , ZIELINSKI, AP , (1997) SURVEY OF TREFFTZ-TYPE ELEMENT FORMULATIONS.COMPUTERS & STRUCTURES. VOL. 63. ISSUE 2. P. 225-242 28 93% 40
4 LEE, MG , LI, ZC , (2012) CORNER AND CRACK SINGULARITY OF DIFFERENT BOUNDARY CONDITIONS FOR LINEAR ELASTOSTATICS AND THEIR NUMERICAL SOLUTIONS.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. VOL. 36. ISSUE 7. P. 1125 -1137 23 77% 0
5 KITA, E , KAMIYA, N , (1995) TREFFTZ METHOD: AN OVERVIEW.ADVANCES IN ENGINEERING SOFTWARE. VOL. 24. ISSUE 1-3. P. 3 -12 24 96% 129
6 QIN, QH , (2003) SOLVING ANTI-PLANE PROBLEMS OF PIEZOELECTRIC MATERIALS BY THE TREFFTZ FINITE ELEMENT APPROACH.COMPUTATIONAL MECHANICS. VOL. 31. ISSUE 6. P. 461 -468 22 92% 25
7 DOSIYEV, AA , BURANAY, SC , (2015) ONE-BLOCK METHOD FOR COMPUTING THE GENERALIZED STRESS INTENSITY FACTORS FOR LAPLACE'S EQUATION ON A SQUARE WITH A SLIT AND ON AN L-SHAPED DOMAIN.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 289. ISSUE . P. 400 -411 18 82% 0
8 LEE, MG , YOUNG, LJ , LI, ZC , CHU, PC , (2010) COMBINED TREFFTZ METHODS OF PARTICULAR AND FUNDAMENTAL SOLUTIONS FOR CORNER AND CRACK SINGULARITY OF LINEAR ELASTOSTATICS.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. VOL. 34. ISSUE 7. P. 632 -654 27 56% 3
9 LI, ZC , CHU, PC , YOUNG, LJ , LEE, MG , (2010) MODELS OF CORNER AND CRACK SINGULARITY OF LINEAR ELASTOSTATICS AND THEIR NUMERICAL SOLUTIONS.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. VOL. 34. ISSUE 6. P. 533 -548 21 72% 2
10 LIU, CS , (2007) AN EFFECTIVELY MODIFIED DIRECT TREFFTZ METHOD FOR 2D POTENTIAL PROBLEMS CONSIDERING THE DOMAIN'S CHARACTERISTIC LENGTH.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. VOL. 31. ISSUE 12. P. 983-993 16 94% 31

Classes with closest relation at Level 1


Rank Class id link
1 2981 METHOD OF FUNDAMENTAL SOLUTIONS//RADIAL BASIS FUNCTIONS//ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
2 24266 DEGENERATE SCALE//DEGENERATE KERNEL//HARBOR RIVER ENGN
3 15483 STIFFENED PLATES//RIBBED PLATE//ELASTIC STIFFENED PLATE
4 7131 HELMHOLTZ EQUATION//ULTRA WEAK VARIATIONAL FORMULATION//WAVE BASED METHOD
5 1398 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING//REISSNER MINDLIN PLATE//ENHANCED ASSUMED STRAIN
6 27657 CELL DISCRETIZATION//MULTI POINT CONSTRAINT EQUATIONS//COMPUTAT MECH DEV SECT
7 34110 GREENS FUNCT//THERMOELASTIC INFLUENCE FUNCTIONS//VOLUME DILATATION
8 5968 ERROR ESTIMATION//GOAL ORIENTED ERROR ESTIMATION//SUPERCONVERGENCE
9 5396 NEARLY SINGULAR INTEGRALS//BOUNDARY ELEMENT METHOD//ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
10 16611 EXPONENTIAL ACCURACY//METHOD OF AUXILIARY MAPPING//CORNER SINGULARITY

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