Class information for:
Level 1: DISCRETE MAXIMUM PRINCIPLE//MIMETIC FINITE DIFFERENCES//MIMETIC FINITE DIFFERENCE METHOD

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10113 1091 28.0 50%


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
10113 1                   DISCRETE MAXIMUM PRINCIPLE//MIMETIC FINITE DIFFERENCES//MIMETIC FINITE DIFFERENCE METHOD 1091

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 DISCRETE MAXIMUM PRINCIPLE authKW 863831 5% 56% 55
2 MIMETIC FINITE DIFFERENCES authKW 824327 3% 82% 36
3 MIMETIC FINITE DIFFERENCE METHOD authKW 555868 2% 83% 24
4 MPFA authKW 404121 2% 76% 19
5 MULTIPOINT FLUX APPROXIMATION authKW 399801 2% 71% 20
6 FLUX CONTINUOUS authKW 363829 1% 100% 13
7 POLYHEDRAL MESHES authKW 330007 2% 47% 25
8 VIRTUAL ELEMENT METHOD authKW 322667 1% 82% 14
9 POLYGONAL MESH authKW 230260 2% 34% 24
10 MIMETIC DISCRETIZATION authKW 205631 1% 57% 13

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 11379 41% 0% 444
2 Computer Science, Interdisciplinary Applications 8278 24% 0% 259
3 Engineering, Petroleum 7674 9% 0% 93
4 Mathematics, Interdisciplinary Applications 3026 12% 0% 134
5 Physics, Mathematical 2154 13% 0% 141
6 Engineering, General 1409 9% 0% 99
7 Mechanics 1079 12% 0% 128
8 Mathematics 467 10% 0% 113
9 Geosciences, Multidisciplinary 429 8% 0% 91
10 Water Resources 362 5% 0% 60

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 MATH PLASMA PHYS GRP 205631 1% 57% 13
2 IMATI 83053 2% 12% 24
3 CIVIL COMPUTAT ENGN 58790 2% 9% 24
4 PHYS BATIMENTS SYST 55974 0% 100% 2
5 INTEGRATED PETR 49288 2% 10% 17
6 DIP INGN MECCAN STRUTTURALE 37314 0% 67% 2
7 DIPARTIMENTO INGN MECAN STRUTTURALE 37314 0% 67% 2
8 STMFLMEC 37314 0% 67% 2
9 CERMICS ENPC 31971 1% 14% 8
10 001 27150 27987 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 COMPUTATIONAL GEOSCIENCES 123852 5% 8% 55
2 ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 34341 4% 3% 40
3 JOURNAL OF COMPUTATIONAL PHYSICS 31406 10% 1% 112
4 SPE JOURNAL 26821 3% 3% 35
5 SIAM JOURNAL ON NUMERICAL ANALYSIS 12008 4% 1% 42
6 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 10930 2% 2% 23
7 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 9633 4% 1% 42
8 ADVANCES IN WATER RESOURCES 9480 3% 1% 31
9 RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING 9327 1% 2% 15
10 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 8577 2% 1% 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 DISCRETE MAXIMUM PRINCIPLE 863831 5% 56% 55 Search DISCRETE+MAXIMUM+PRINCIPLE Search DISCRETE+MAXIMUM+PRINCIPLE
2 MIMETIC FINITE DIFFERENCES 824327 3% 82% 36 Search MIMETIC+FINITE+DIFFERENCES Search MIMETIC+FINITE+DIFFERENCES
3 MIMETIC FINITE DIFFERENCE METHOD 555868 2% 83% 24 Search MIMETIC+FINITE+DIFFERENCE+METHOD Search MIMETIC+FINITE+DIFFERENCE+METHOD
4 MPFA 404121 2% 76% 19 Search MPFA Search MPFA
5 MULTIPOINT FLUX APPROXIMATION 399801 2% 71% 20 Search MULTIPOINT+FLUX+APPROXIMATION Search MULTIPOINT+FLUX+APPROXIMATION
6 FLUX CONTINUOUS 363829 1% 100% 13 Search FLUX+CONTINUOUS Search FLUX+CONTINUOUS
7 POLYHEDRAL MESHES 330007 2% 47% 25 Search POLYHEDRAL+MESHES Search POLYHEDRAL+MESHES
8 VIRTUAL ELEMENT METHOD 322667 1% 82% 14 Search VIRTUAL+ELEMENT+METHOD Search VIRTUAL+ELEMENT+METHOD
9 POLYGONAL MESH 230260 2% 34% 24 Search POLYGONAL+MESH Search POLYGONAL+MESH
10 MIMETIC DISCRETIZATION 205631 1% 57% 13 Search MIMETIC+DISCRETIZATION Search MIMETIC+DISCRETIZATION

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 DRONIOU, J , (2014) FINITE VOLUME SCHEMES FOR DIFFUSION EQUATIONS: INTRODUCTION TO AND REVIEW OF MODERN METHODS.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. VOL. 24. ISSUE 8. P. 1575 -1619 90 92% 23
2 LIPNIKOV, K , MANZINI, G , SHASHKOV, M , (2014) MIMETIC FINITE DIFFERENCE METHOD.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 257. ISSUE . P. 1163 -1227 100 67% 43
3 GYRYA, V , LIPNIKOV, K , MANZINI, G , SVYATSKIY, D , (2014) M-ADAPTATION IN THE MIMETIC FINITE DIFFERENCE METHOD.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. VOL. 24. ISSUE 8. P. 1621 -1663 81 82% 2
4 CAMIER, JS , HERMELINE, F , (2016) A MONOTONE NONLINEAR FINITE VOLUME METHOD FOR APPROXIMATING DIFFUSION OPERATORS ON GENERAL MESHES.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. VOL. 107. ISSUE 6. P. 496 -519 41 93% 0
5 BREZZI, F , BUFFA, A , MANZINI, G , (2014) MIMETIC SCALAR PRODUCTS OF DISCRETE DIFFERENTIAL FORMS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 257. ISSUE . P. 1228 -1259 44 75% 8
6 DA VEIGA, LB , MANZINI, G , PUTTI, M , (2015) POST PROCESSING OF SOLUTION AND FLUX FOR THE NODAL MIMETIC FINITE DIFFERENCE METHOD.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. VOL. 31. ISSUE 1. P. 336 -363 41 80% 2
7 BLANC, X , LABOURASSE, E , (2016) A POSITIVE SCHEME FOR DIFFUSION PROBLEMS ON DEFORMED MESHES.ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK. VOL. 96. ISSUE 6. P. 660 -680 38 86% 0
8 MANZINI, G , RUSSO, A , SUKUMAR, N , (2014) NEW PERSPECTIVES ON POLYGONAL AND POLYHEDRAL FINITE ELEMENT METHODS.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. VOL. 24. ISSUE 8. P. 1665 -1699 54 51% 24
9 LIPNIKOV, K , MANZINI, G , SVYATSKIY, D , (2011) ANALYSIS OF THE MONOTONICITY CONDITIONS IN THE MIMETIC FINITE DIFFERENCE METHOD FOR ELLIPTIC PROBLEMS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 230. ISSUE 7. P. 2620 -2642 34 97% 24
10 TEREKHOV, KM , MALLISON, BT , TCHELEPI, HA , (2017) CELL-CENTERED NONLINEAR FINITE-VOLUME METHODS FOR THE HETEROGENEOUS ANISOTROPIC DIFFUSION PROBLEM.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 330. ISSUE . P. 245 -267 35 90% 0

Classes with closest relation at Level 1


Rank Class id link
1 8961 FINITE VOLUME ELEMENT METHOD//CHARACTERISTIC METHODS//EULERIAN LAGRANGIAN METHOD
2 11651 UPSCALING//MULTISCALE FINITE ELEMENT METHOD//MULTISCALE METHODS
3 28289 STREAMLINE SIMULATION//VISCOUS DOMINANT REGIME//ADVECTION DISPERSION RATIO
4 16906 FAST AUTOMATIC DIFFERENTIATION//IMMISCIBLE COMPRESSIBLE//WATER HYDROGEN
5 5672 DISCONTINUOUS GALERKIN METHOD//DISCONTINUOUS GALERKIN//LOCAL DISCONTINUOUS GALERKIN METHOD
6 18527 RESERVOIR COMPACTION//POROELASTICITY//MATH METHODS MODELS SCI PLICAT
7 18348 LAGRANGIAN HYDRODYNAMICS//CELL CENTERED SCHEME//ALE METHODS
8 37569 COSYMMETRY//FAMILY OF EQUILIBRIA//FAMILIES OF EQUILIBRIA
9 3676 MATRIX DIFFUSION//FRACTURED ROCK//DISCRETE FRACTURE NETWORK
10 21454 RADIATION DIFFUSION//NEWTON KRYLOV//NEWTON KRYLOV METHODS

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