Class information for:
Level 1: LEAST SQUARES FINITE ELEMENT METHOD//FIRST ORDER SYSTEM LEAST SQUARES//SOBOLEV GRADIENT

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16920 627 24.9 49%


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
145 3       MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS 63904
458 2             DISCONTINUOUS GALERKIN METHOD//COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING//SUPERCONVERGENCE 15995
16920 1                   LEAST SQUARES FINITE ELEMENT METHOD//FIRST ORDER SYSTEM LEAST SQUARES//SOBOLEV GRADIENT 627

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 LEAST SQUARES FINITE ELEMENT METHOD authKW 1342003 7% 67% 41
2 FIRST ORDER SYSTEM LEAST SQUARES authKW 639726 3% 77% 17
3 SOBOLEV GRADIENT authKW 574260 4% 47% 25
4 LEAST SQUARES authKW 540619 23% 8% 144
5 LEAST SQUARES DISCRETIZATION authKW 486995 2% 100% 10
6 LEAST SQUARES MIXED FINITE ELEMENT METHOD authKW 438295 1% 100% 9
7 DISCONTINUOUS PETROV GALERKIN authKW 374607 2% 77% 10
8 FOSLS authKW 250453 1% 86% 6
9 NESTED ITERATION authKW 207604 1% 47% 9
10 DPG authKW 198850 1% 58% 7

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 14229 59% 0% 372
2 Mathematics, Interdisciplinary Applications 4277 19% 0% 119
3 Engineering, General 1841 13% 0% 84
4 Mechanics 1665 19% 0% 116
5 Computer Science, Interdisciplinary Applications 1373 13% 0% 82
6 Physics, Fluids & Plasmas 270 6% 0% 35
7 Physics, Mathematical 222 6% 0% 37
8 Mathematics 195 9% 0% 57
9 Engineering, Chemical 17 4% 0% 23
10 Computer Science, Software Engineering 10 1% 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 MECH ENGN 3013 LEARNED HALL 64931 0% 67% 2
2 CRS4 ADV STUDIES DEV SARDINIA 48699 0% 100% 1
3 DNT COMP PLICAT 48699 0% 100% 1
4 ICMC MATH SCI COMP 48699 0% 100% 1
5 MATH INFORMAT HBEREICH 6 48699 0% 100% 1
6 OPPOSITE SEC U 48699 0% 100% 1
7 PARTICIPANT 48699 0% 100% 1
8 TEXAS COMPUTAT PL MATH EM ASE 48699 0% 100% 1
9 TRANSPORTE LIQUIDOS GASES 48699 0% 100% 1
10 OPPOSITE SECTOR U 48693 1% 25% 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 SIAM JOURNAL ON NUMERICAL ANALYSIS 70566 12% 2% 77
2 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 17429 4% 2% 22
3 SIAM JOURNAL ON SCIENTIFIC COMPUTING 10243 4% 1% 27
4 COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 8026 6% 0% 37
5 COMPUTERS & MATHEMATICS WITH APPLICATIONS 7310 6% 0% 38
6 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 5941 4% 0% 25
7 JOURNAL OF COMPUTATIONAL PHYSICS 3889 5% 0% 30
8 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 3735 4% 0% 28
9 INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS 3567 1% 1% 8
10 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 3115 4% 0% 23

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 LEAST SQUARES FINITE ELEMENT METHOD 1342003 7% 67% 41 Search LEAST+SQUARES+FINITE+ELEMENT+METHOD Search LEAST+SQUARES+FINITE+ELEMENT+METHOD
2 FIRST ORDER SYSTEM LEAST SQUARES 639726 3% 77% 17 Search FIRST+ORDER+SYSTEM+LEAST+SQUARES Search FIRST+ORDER+SYSTEM+LEAST+SQUARES
3 SOBOLEV GRADIENT 574260 4% 47% 25 Search SOBOLEV+GRADIENT Search SOBOLEV+GRADIENT
4 LEAST SQUARES 540619 23% 8% 144 Search LEAST+SQUARES Search LEAST+SQUARES
5 LEAST SQUARES DISCRETIZATION 486995 2% 100% 10 Search LEAST+SQUARES+DISCRETIZATION Search LEAST+SQUARES+DISCRETIZATION
6 LEAST SQUARES MIXED FINITE ELEMENT METHOD 438295 1% 100% 9 Search LEAST+SQUARES+MIXED+FINITE+ELEMENT+METHOD Search LEAST+SQUARES+MIXED+FINITE+ELEMENT+METHOD
7 DISCONTINUOUS PETROV GALERKIN 374607 2% 77% 10 Search DISCONTINUOUS+PETROV+GALERKIN Search DISCONTINUOUS+PETROV+GALERKIN
8 FOSLS 250453 1% 86% 6 Search FOSLS Search FOSLS
9 NESTED ITERATION 207604 1% 47% 9 Search NESTED+ITERATION Search NESTED+ITERATION
10 DPG 198850 1% 58% 7 Search DPG Search DPG

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 BOCHEV, PB , GUNZBURGER, MD , (1998) FINITE ELEMENT METHODS OF LEAST-SQUARES TYPE.SIAM REVIEW. VOL. 40. ISSUE 4. P. 789 -837 52 83% 189
2 DEANG, JM , GUNZBURGER, MD , (1998) ISSUES RELATED TO LEAST-SQUARES FINITE ELEMENT METHODS FOR THE STOKES EQUATIONS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 20. ISSUE 3. P. 878 -906 39 98% 59
3 LEE, E , MANTEUFFEL, TA , WESTPHAL, CR , (2015) FOSLL* FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 37. ISSUE 5. P. S503 -S525 28 90% 0
4 SOLSVIK, J , JAKOBSEN, HA , (2016) SPECTRAL SOLUTION OF THE BREAKAGE-COALESCENCE POPULATION BALANCE EQUATION PICARD AND NEWTON ITERATION METHODS.APPLIED MATHEMATICAL MODELLING. VOL. 40. ISSUE 3. P. 1741 -1753 27 71% 1
5 SOLSVIK, J , JAKOBSEN, HA , (2015) ON THE SOLUTION OF THE ADVECTION EQUATION AND ADVECTIVE DOMINATED REACTOR MODELS BY WEIGHTED RESIDUAL METHODS.COMPUTERS & FLUIDS. VOL. 120. ISSUE . P. 24 -36 27 77% 0
6 CHANG, CL , YANG, SY , (2002) ANALYSIS OF THE L-2 LEAST-SQUARES FINITE ELEMENT METHOD FOR THE VELOCITY-VORTICITY-PRESSURE STOKES EQUATIONS WITH VELOCITY BOUNDARY CONDITIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 130. ISSUE 1. P. 121-144 29 97% 15
7 SHIN, BC , HESSARI, P , (2016) LEAST-SQUARES SPECTRAL METHOD FOR VELOCITY-VORTICITY-PRESSURE FORM OF THE STOKES EQUATIONS.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. VOL. 32. ISSUE 2. P. 661 -680 21 84% 1
8 PONTAZA, JP , REDDY, JN , (2006) LEAST-SQUARES FINITE ELEMENT FORMULATIONS FOR VISCOUS INCOMPRESSIBLE AND COMPRESSIBLE FLUID FLOWS.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL. 195. ISSUE 19-22. P. 2454-2494 31 74% 25
9 PAYETTE, GS , REDDY, JN , (2011) ON THE ROLES OF MINIMIZATION AND LINEARIZATION IN LEAST-SQUARES FINITE ELEMENT MODELS OF NONLINEAR BOUNDARY-VALUE PROBLEMS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 230. ISSUE 9. P. 3589 -3613 29 71% 5
10 CAI, ZQ , KU, JE , (2010) OPTIMAL ERROR ESTIMATE FOR THE DIV LEAST-SQUARES METHOD WITH DATA F IS AN ELEMENT OF L-2 AND APPLICATION TO NONLINEAR PROBLEMS.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 47. ISSUE 6. P. 4098-4111 21 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 12140 MIXED FINITE ELEMENTS//CI2MA//INGN MATEMAT
2 16611 EXPONENTIAL ACCURACY//METHOD OF AUXILIARY MAPPING//CORNER SINGULARITY
3 8961 FINITE VOLUME ELEMENT METHOD//CHARACTERISTIC METHODS//EULERIAN LAGRANGIAN METHOD
4 2302 FLUID STRUCTURE INTERACTION//STABILIZED FINITE ELEMENTS//COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
5 6366 A POSTERIORI ERROR ESTIMATES//NONCONFORMING FINITE ELEMENT//A POSTERIORI ERROR ESTIMATOR
6 9716 SPECTRAL METHODS//SEMI INFINITE INTERVAL//NONHOMOGENEOUS DIRICHLET CONDITIONS
7 2241 ALGEBRAIC MULTIGRID//DOMAIN DECOMPOSITION//MULTIGRID
8 32243 LOCAL MINIMAX METHOD//MULTIPLE SADDLE POINTS//GNGA
9 5672 DISCONTINUOUS GALERKIN METHOD//DISCONTINUOUS GALERKIN//LOCAL DISCONTINUOUS GALERKIN METHOD
10 21454 RADIATION DIFFUSION//NEWTON KRYLOV//NEWTON KRYLOV METHODS

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