Class information for:
Level 1: HELMHOLTZ EQUATION//ULTRA WEAK VARIATIONAL FORMULATION//WAVE BASED METHOD

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7131 1402 26.2 53%


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
10 4 OPTICS//PHYSICS, PARTICLES & FIELDS//PHYSICS, MULTIDISCIPLINARY 1131262
42 3       IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION//MICROWAVE AND OPTICAL TECHNOLOGY LETTERS//ENGINEERING, ELECTRICAL & ELECTRONIC 97664
1449 2             ABSORBING BOUNDARY CONDITIONS//PERFECTLY MATCHED LAYER//FINITE DIFFERENCE TIME DOMAIN FDTD METHOD 7823
7131 1                   HELMHOLTZ EQUATION//ULTRA WEAK VARIATIONAL FORMULATION//WAVE BASED METHOD 1402

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 HELMHOLTZ EQUATION authKW 1316918 18% 23% 259
2 ULTRA WEAK VARIATIONAL FORMULATION authKW 370229 1% 100% 17
3 WAVE BASED METHOD authKW 349097 2% 70% 23
4 PLANE WAVE BASIS authKW 286078 1% 77% 17
5 HIGH WAVE NUMBER authKW 265479 1% 76% 16
6 HELMHOLTZ PROBLEM authKW 250426 2% 50% 23
7 HIGH FREQUENCY SCATTERING authKW 242061 1% 65% 17
8 DISPERSION ERROR authKW 208764 1% 46% 21
9 INFINITE ELEMENTS authKW 191213 2% 27% 33
10 DISCONTINUOUS ENRICHMENT METHOD authKW 188221 1% 79% 11

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, Interdisciplinary Applications 24540 30% 0% 422
2 Engineering, General 14622 25% 0% 347
3 Mathematics, Applied 11484 36% 0% 508
4 Mechanics 4752 21% 0% 291
5 Acoustics 4709 11% 0% 157
6 Computer Science, Interdisciplinary Applications 2988 13% 0% 181
7 Physics, Mathematical 1472 10% 0% 135
8 Mathematics 337 8% 0% 115
9 Audiology & Speech-Language Pathology 199 2% 0% 24
10 Engineering, Aerospace 69 1% 0% 18

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 ACE TEAM 43556 0% 100% 2
2 DESENO ENXENERIA 43556 0% 100% 2
3 IRC ESTP 43556 0% 100% 2
4 SOLIDS MAT STRUCT 43556 0% 100% 2
5 STRUCT MAT COMPUTAT MECH 38883 0% 36% 5
6 SERV MILIEUX CONTINUS 38712 0% 44% 4
7 COMPUTAT MATH ENGN 29649 2% 6% 23
8 MATH PLIQUEES IND 29036 0% 67% 2
9 SYST SIMULAT LSS 29036 0% 67% 2
10 AEROSCOPE ENGN 21778 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 JOURNAL OF COMPUTATIONAL ACOUSTICS 116274 4% 9% 57
2 COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 53825 10% 2% 143
3 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 34495 8% 1% 114
4 JOURNAL OF COMPUTATIONAL PHYSICS 19815 7% 1% 101
5 APPLIED NUMERICAL MATHEMATICS 10640 3% 1% 38
6 JOURNAL OF COMPUTATIONAL MATHEMATICS 8585 2% 2% 23
7 SIAM JOURNAL ON NUMERICAL ANALYSIS 6842 3% 1% 36
8 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 5968 4% 1% 53
9 NUMERISCHE MATHEMATIK 5682 2% 1% 28
10 SIAM JOURNAL ON SCIENTIFIC COMPUTING 5255 2% 1% 29

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 HELMHOLTZ EQUATION 1316918 18% 23% 259 Search HELMHOLTZ+EQUATION Search HELMHOLTZ+EQUATION
2 ULTRA WEAK VARIATIONAL FORMULATION 370229 1% 100% 17 Search ULTRA+WEAK+VARIATIONAL+FORMULATION Search ULTRA+WEAK+VARIATIONAL+FORMULATION
3 WAVE BASED METHOD 349097 2% 70% 23 Search WAVE+BASED+METHOD Search WAVE+BASED+METHOD
4 PLANE WAVE BASIS 286078 1% 77% 17 Search PLANE+WAVE+BASIS Search PLANE+WAVE+BASIS
5 HIGH WAVE NUMBER 265479 1% 76% 16 Search HIGH+WAVE+NUMBER Search HIGH+WAVE+NUMBER
6 HELMHOLTZ PROBLEM 250426 2% 50% 23 Search HELMHOLTZ+PROBLEM Search HELMHOLTZ+PROBLEM
7 HIGH FREQUENCY SCATTERING 242061 1% 65% 17 Search HIGH+FREQUENCY+SCATTERING Search HIGH+FREQUENCY+SCATTERING
8 DISPERSION ERROR 208764 1% 46% 21 Search DISPERSION+ERROR Search DISPERSION+ERROR
9 INFINITE ELEMENTS 191213 2% 27% 33 Search INFINITE+ELEMENTS Search INFINITE+ELEMENTS
10 DISCONTINUOUS ENRICHMENT METHOD 188221 1% 79% 11 Search DISCONTINUOUS+ENRICHMENT+METHOD Search DISCONTINUOUS+ENRICHMENT+METHOD

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 THOMPSON, LL , (2006) A REVIEW OF FINITE-ELEMENT METHODS FOR TIME-HARMONIC ACOUSTICS.JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA. VOL. 119. ISSUE 3. P. 1315 -1330 88 64% 136
2 MELENK, JM , SAUTER, S , (2011) WAVENUMBER EXPLICIT CONVERGENCE ANALYSIS FOR GALERKIN DISCRETIZATIONS OF THE HELMHOLTZ EQUATION.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 49. ISSUE 3. P. 1210 -1243 39 93% 35
3 CHANDLER-WILDE, SN , GRAHAM, IG , LANGDON, S , SPENCE, EA , (2012) NUMERICAL-ASYMPTOTIC BOUNDARY INTEGRAL METHODS IN HIGH-FREQUENCY ACOUSTIC SCATTERING.ACTA NUMERICA. VOL. 21. ISSUE . P. 89-305 64 44% 44
4 GIVOLI, D , (1999) RECENT ADVANCES IN THE DTN FE METHOD.ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING. VOL. 6. ISSUE 2. P. 71 -116 58 73% 83
5 LIEU, A , GABARD, G , BERIOT, H , (2016) A COMPARISON OF HIGH-ORDER POLYNOMIAL AND WAVE-BASED METHODS FOR HELMHOLTZ PROBLEMS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 321. ISSUE . P. 105 -125 37 79% 0
6 HARARI, I , (2006) A SURVEY OF FINITE ELEMENT METHODS FOR TIME-HARMONIC ACOUSTICS.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL. 195. ISSUE 13-16. P. 1594-1607 52 62% 69
7 TEZAUR, R , KALASHNIKOVA, I , FARHAT, C , (2014) THE DISCONTINUOUS ENRICHMENT METHOD FOR MEDIUM-FREQUENCY HELMHOLTZ PROBLEMS WITH A SPATIALLY VARIABLE WAVENUMBER.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL. 268. ISSUE . P. 126-140 29 94% 4
8 BIERMANN, J , VON ESTORFF, O , (2013) HIGHER ORDER FINITE AND INFINITE ACOUSTICAL ELEMENTS BASED ON ULTRASPHERICAL POLYNOMIALS.ACTA ACUSTICA UNITED WITH ACUSTICA. VOL. 99. ISSUE 5. P. 759-769 36 77% 0
9 HARARI, I , (2008) MULTISCALE FINITE ELEMENTS FOR ACOUSTICS: CONTINUOUS, DISCONTINUOUS, AND STABILIZED METHODS.INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING. VOL. 6. ISSUE 6. P. 511-531 44 68% 3
10 NADUKANDI, P , ONATE, E , GARCIA, J , (2011) A FOURTH-ORDER COMPACT SCHEME FOR THE HELMHOLTZ EQUATION: ALPHA-INTERPOLATION OF FEM AND FDM STENCILS.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. VOL. 86. ISSUE 1. P. 18-46 37 71% 1

Classes with closest relation at Level 1


Rank Class id link
1 6877 PERFECTLY MATCHED LAYER//ABSORBING BOUNDARY CONDITIONS//NON REFLECTING BOUNDARY CONDITION
2 34082 MEASURED EQUATION OF INVARIANCE//FLEXIBLE APPROXIMATION//FLEXIBLE LOCAL APPROXIMATION
3 15282 WAVEFORM RELAXATION//OPTIMIZED SCHWARZ METHODS//WAVEFORM RELAXATION METHOD
4 13734 FESTKORPERMECH//STRUCTURAL ACOUSTIC OPTIMIZATION//HELMHOLTZ INTEGRAL EQUATION
5 12140 MIXED FINITE ELEMENTS//CI2MA//INGN MATEMAT
6 19246 TREFFTZ METHOD//EFFECTIVE CONDITION NUMBER//SINGULARITY PROBLEM
7 5050 TRANSMISSION EIGENVALUES//INVERSE SCATTERING//LINEAR SAMPLING METHOD
8 3684 MAXWELLS EQUATIONS//EDGE ELEMENTS//EDDY CURRENT PROBLEM
9 8552 FAST MULTIPOLE METHOD//HIERARCHICAL MATRICES//SPECIAL PURPOSE COMPUTER
10 24266 DEGENERATE SCALE//DEGENERATE KERNEL//HARBOR RIVER ENGN

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