Class information for:
Level 1: ALGEBRAIC MULTIGRID//DOMAIN DECOMPOSITION//MULTIGRID

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2241 2311 24.8 47%


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
939 2             DOMAIN DECOMPOSITION//PRECONDITIONER//NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 10969
2241 1                   ALGEBRAIC MULTIGRID//DOMAIN DECOMPOSITION//MULTIGRID 2311

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 ALGEBRAIC MULTIGRID authKW 1253470 7% 58% 163
2 DOMAIN DECOMPOSITION authKW 890957 15% 20% 338
3 MULTIGRID authKW 682772 9% 24% 215
4 BDDC authKW 556018 2% 96% 44
5 FETI DP authKW 511529 2% 88% 44
6 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS journal 394173 8% 17% 174
7 ITERATIVE SUBSTRUCTURING authKW 388832 1% 89% 33
8 FETI authKW 351316 2% 53% 50
9 MULTIGRID METHOD authKW 307909 5% 20% 116
10 SMOOTHED AGGREGATION authKW 249590 1% 82% 23

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 73693 70% 0% 1619
2 Mathematics, Interdisciplinary Applications 5165 11% 0% 256
3 Engineering, General 4899 11% 0% 265
4 Mathematics 2842 16% 0% 378
5 Computer Science, Theory & Methods 1408 7% 0% 171
6 Computer Science, Interdisciplinary Applications 1244 7% 0% 158
7 Mechanics 1047 8% 0% 192
8 Computer Science, Software Engineering 341 3% 0% 76
9 Physics, Mathematical 91 2% 0% 57
10 Engineering, Petroleum 40 1% 0% 12

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 SCI COMP 112904 3% 14% 61
2 FEI VSB 107009 0% 90% 9
3 SERV METROL NUCL 66549 1% 20% 25
4 FEECS VSB 52841 0% 67% 6
5 AEROSP STRUCT 47411 1% 14% 25
6 COMPUTAT MATH 45287 3% 6% 58
7 COMPUTAT MATH PLICAT 42603 0% 32% 10
8 SCAI ALGORITHMS SCI COMP 36693 0% 56% 5
9 COMPUTAT MATH COMPUTAT GEOPHYS 26423 0% 100% 2
10 FMI VSB 26423 0% 100% 2

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 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 394173 8% 17% 174
2 SIAM JOURNAL ON SCIENTIFIC COMPUTING 181683 9% 6% 218
3 NUMERISCHE MATHEMATIK 81849 6% 5% 136
4 SIAM JOURNAL ON NUMERICAL ANALYSIS 79454 7% 4% 157
5 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 33515 2% 7% 38
6 COMPUTING 33070 3% 4% 68
7 JOURNAL OF COMPUTATIONAL MATHEMATICS 30927 2% 4% 56
8 MATHEMATICS OF COMPUTATION 29295 4% 2% 94
9 APPLIED NUMERICAL MATHEMATICS 25174 3% 3% 75
10 SOVIET JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING 22761 0% 17% 10

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 ALGEBRAIC MULTIGRID 1253470 7% 58% 163 Search ALGEBRAIC+MULTIGRID Search ALGEBRAIC+MULTIGRID
2 DOMAIN DECOMPOSITION 890957 15% 20% 338 Search DOMAIN+DECOMPOSITION Search DOMAIN+DECOMPOSITION
3 MULTIGRID 682772 9% 24% 215 Search MULTIGRID Search MULTIGRID
4 BDDC 556018 2% 96% 44 Search BDDC Search BDDC
5 FETI DP 511529 2% 88% 44 Search FETI+DP Search FETI+DP
6 ITERATIVE SUBSTRUCTURING 388832 1% 89% 33 Search ITERATIVE+SUBSTRUCTURING Search ITERATIVE+SUBSTRUCTURING
7 FETI 351316 2% 53% 50 Search FETI Search FETI
8 MULTIGRID METHOD 307909 5% 20% 116 Search MULTIGRID+METHOD Search MULTIGRID+METHOD
9 SMOOTHED AGGREGATION 249590 1% 82% 23 Search SMOOTHED+AGGREGATION Search SMOOTHED+AGGREGATION
10 PRECONDITIONER 210660 5% 14% 111 Search PRECONDITIONER Search PRECONDITIONER

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 ZAMPINI, S , (2016) PCBDDC: A CLASS OF ROBUST DUAL-PRIMAL METHODS IN PETSC.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 38. ISSUE 5. P. S282 -S306 47 85% 1
2 MACLACHLAN, SP , OLSON, LN , (2014) THEORETICAL BOUNDS FOR ALGEBRAIC MULTIGRID PERFORMANCE: REVIEW AND ANALYSIS.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. VOL. 21. ISSUE 2. P. 194-220 37 97% 3
3 RHEINBACH, O , (2009) PARALLEL ITERATIVE SUBSTRUCTURING IN STRUCTURAL MECHANICS.ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING. VOL. 16. ISSUE 4. P. 425-463 47 80% 8
4 RODRIGO, C , GASPAR, FJ , LISBONA, FJ , (2012) MULTIGRID METHODS ON SEMI-STRUCTURED GRIDS.ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING. VOL. 19. ISSUE 4. P. 499 -538 37 88% 4
5 KLAWONN, A , RADTKE, P , RHEINBACH, O , (2015) FETI-DP METHODS WITH AN ADAPTIVE COARSE SPACE.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 53. ISSUE 1. P. 297 -320 29 91% 10
6 GOSSELET, P , RIXEN, D , ROUX, FX , SPILLANE, N , (2015) SIMULTANEOUS FETI AND BLOCK FETI: ROBUST DOMAIN DECOMPOSITION WITH MULTIPLE SEARCH DIRECTIONS.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. VOL. 104. ISSUE 10. P. 905 -927 36 86% 0
7 DE DIOS, BA , HOLST, M , ZHU, YR , ZIKATANOV, L , (2014) MULTILEVEL PRECONDITIONERS FOR DISCONTINUOUS GALERKIN APPROXIMATIONS OF ELLIPTIC PROBLEMS WITH JUMP COEFFICIENTS.MATHEMATICS OF COMPUTATION. VOL. 83. ISSUE 287. P. 1083 -1120 36 80% 5
8 PAVARINO, LF , WIDLUND, OB , ZAMPINI, S , (2010) BDDC PRECONDITIONERS FOR SPECTRAL ELEMENT DISCRETIZATIONS OF ALMOST INCOMPRESSIBLE ELASTICITY IN THREE DIMENSIONS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 32. ISSUE 6. P. 3604 -3626 35 90% 10
9 DRYJA, M , GALVIS, J , SARKIS, M , (2015) A DELUXE FETI-DP PRECONDITIONER FOR A COMPOSITE FINITE ELEMENT AND DG METHOD.COMPUTATIONAL METHODS IN APPLIED MATHEMATICS. VOL. 15. ISSUE 4. P. 465 -482 35 81% 0
10 KLAWONN, A , RHEINBACH, O , (2012) DEFLATION, PROJECTOR PRECONDITIONING, AND BALANCING IN ITERATIVE SUBSTRUCTURING METHODS: CONNECTIONS AND NEW RESULTS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 34. ISSUE 1. P. A459 -A484 34 85% 5

Classes with closest relation at Level 1


Rank Class id link
1 10839 INCOMPLETE FACTORIZATION//SPARSE LINEAR SYSTEMS//SPARSE APPROXIMATE INVERSE
2 25711 MULTIGRID AND MULTILEVEL METHODS//WEIGHTED MAX NORM//GENERALIZED SCHWARZ ALGORITHMS
3 11510 SADDLE POINT PROBLEMS//SEMI CONVERGENCE//HERMITIAN AND SKEW HERMITIAN SPLITTING
4 15282 WAVEFORM RELAXATION//OPTIMIZED SCHWARZ METHODS//WAVEFORM RELAXATION METHOD
5 37501 COMBINATION TECHNIQUE//TWO SCALE DISCRETIZATION//SPARSE GRIDS
6 21454 RADIATION DIFFUSION//NEWTON KRYLOV//NEWTON KRYLOV METHODS
7 12140 MIXED FINITE ELEMENTS//CI2MA//INGN MATEMAT
8 25094 INTRINSIC PARALLELISM//INTEGRAL MEAN METHOD//DOMAIN DECOMPOSITION PROCEDURES
9 6366 A POSTERIORI ERROR ESTIMATES//NONCONFORMING FINITE ELEMENT//A POSTERIORI ERROR ESTIMATOR
10 4176 GMRES//MULTIPLE RIGHT HAND SIDES//NONSYMMETRIC LINEAR SYSTEMS

Go to start page