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

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
11026 948 27.2 55%



Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)



ID, lev.
above
Publications Label for level above
1932 5233 ABSORBING BOUNDARY CONDITIONS//PERFECTLY MATCHED LAYER//NUMERICAL DISPERSION

Terms with highest relevance score



Rank Term Type of term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 HELMHOLTZ EQUATION Author keyword 55 21% 24% 230
2 ULTRA WEAK VARIATIONAL FORMULATION Author keyword 44 100% 2% 16
3 WAVE BASED METHOD Author keyword 24 68% 2% 21
4 PLANE WAVE BASIS Author keyword 23 76% 2% 16
5 DISCONTINUOUS ENRICHMENT METHOD Author keyword 17 79% 1% 11
6 HIGH FREQUENCY SCATTERING Author keyword 15 62% 2% 16
7 VARIATIONAL THEORY OF COMPLEX RAYS Author keyword 14 100% 1% 7
8 COMBINED FIELD INTEGRAL EQUATIONS Author keyword 13 80% 1% 8
9 HIGH WAVE NUMBER Author keyword 13 71% 1% 10
10 LARGE WAVE NUMBER Author keyword 11 100% 1% 6

Web of Science journal categories

Author Key Words



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
LCSH search Wikipedia search
1 HELMHOLTZ EQUATION 55 21% 24% 230 Search HELMHOLTZ+EQUATION Search HELMHOLTZ+EQUATION
2 ULTRA WEAK VARIATIONAL FORMULATION 44 100% 2% 16 Search ULTRA+WEAK+VARIATIONAL+FORMULATION Search ULTRA+WEAK+VARIATIONAL+FORMULATION
3 WAVE BASED METHOD 24 68% 2% 21 Search WAVE+BASED+METHOD Search WAVE+BASED+METHOD
4 PLANE WAVE BASIS 23 76% 2% 16 Search PLANE+WAVE+BASIS Search PLANE+WAVE+BASIS
5 DISCONTINUOUS ENRICHMENT METHOD 17 79% 1% 11 Search DISCONTINUOUS+ENRICHMENT+METHOD Search DISCONTINUOUS+ENRICHMENT+METHOD
6 HIGH FREQUENCY SCATTERING 15 62% 2% 16 Search HIGH+FREQUENCY+SCATTERING Search HIGH+FREQUENCY+SCATTERING
7 VARIATIONAL THEORY OF COMPLEX RAYS 14 100% 1% 7 Search VARIATIONAL+THEORY+OF+COMPLEX+RAYS Search VARIATIONAL+THEORY+OF+COMPLEX+RAYS
8 COMBINED FIELD INTEGRAL EQUATIONS 13 80% 1% 8 Search COMBINED+FIELD+INTEGRAL+EQUATIONS Search COMBINED+FIELD+INTEGRAL+EQUATIONS
9 HIGH WAVE NUMBER 13 71% 1% 10 Search HIGH+WAVE+NUMBER Search HIGH+WAVE+NUMBER
10 LARGE WAVE NUMBER 11 100% 1% 6 Search LARGE+WAVE+NUMBER Search LARGE+WAVE+NUMBER

Key Words Plus



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 WEAK VARIATIONAL FORMULATION 92 76% 7% 64
2 CONVEX ARTIFICIAL BOUNDARIES 45 94% 2% 16
3 HELMHOLTZ EQUATION 43 20% 20% 194
4 TIME HARMONIC ACOUSTICS 42 71% 4% 34
5 SURFACE RADIATION CONDITION 37 100% 1% 14
6 FREQUENCY HELMHOLTZ PROBLEMS 30 100% 1% 12
7 HELMHOLTZ PROBLEMS 29 72% 2% 23
8 ENRICHMENT METHOD 27 92% 1% 11
9 ACOUSTICAL RADIATION 25 70% 2% 21
10 WAVE ENVELOPE ELEMENTS 25 55% 3% 31

Journals

Reviews



Title Publ. year Cit. Active references % act. ref.
to same field
A review of finite-element methods for time-harmonic acoustics 2006 110 137 57%
Advances in iterative methods and preconditioners for the Helmholtz equation 2008 48 81 35%
Trefftz-based methods for time-harmonic acoustics 2007 53 99 44%
A survey of finite element methods for time-harmonic acoustics 2006 56 84 54%
Equation-based interpolation and incremental unknowns for solving the three-dimensional Helmholtz equation 2014 1 31 52%
RADIATION BOUNDARY CONDITIONS FOR THE HELMHOLTZ EQUATION FOR ELLIPSOIDAL, PROLATE SPHEROIDAL, OBLATE SPHEROIDAL AND SPHERICAL DOMAIN BOUNDARIES 2012 2 27 44%
A new numerical strategy for the resolution of high-Peclet advection-diffusion problems 2012 0 17 53%
A class of difference schemes with flexible local approximation 2006 29 81 12%
Electromagnetic applications of a new finite-difference calculus 2005 30 71 6%

Address terms



Rank Address term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ.
in class
1 STRUCT MAT COMPUTAT MECH 2 38% 0.5% 5
2 SERV MILIEUX CONTINUS 2 44% 0.4% 4
3 MATH PLIQUEES IND 2 67% 0.2% 2
4 SYST SIMULAT LSS 2 67% 0.2% 2
5 ACE TEAM 1 100% 0.2% 2
6 CORIDA TEAM 1 50% 0.2% 2
7 DESENO ENXENERIA 1 100% 0.2% 2
8 SOLIDS MAT STRUCT 1 100% 0.2% 2
9 TEAM PROJECT MAGIQUE 3D 1 50% 0.2% 2
10 MIP UMR 5640 1 40% 0.2% 2

Related classes at same level (level 1)



Rank Relatedness score Related classes
1 0.0000186307 ABSORBING BOUNDARY CONDITIONS//PERFECTLY MATCHED LAYER//PERFECTLY MATCHED LAYERS
2 0.0000121061 BURTON MILLER METHOD//HARBOR RIVER ENGN//ACOUSTIC OPTIMIZATION
3 0.0000111327 WAVEFORM RELAXATION//PARAREAL ALGORITHM//OPTIMIZED SCHWARZ METHODS
4 0.0000076785 METHOD OF FUNDAMENTAL SOLUTIONS//TREFFTZ METHOD//SINGULAR BOUNDARY METHOD
5 0.0000068592 IMPACT WAVES SOLIDS//MULTIDOMAIN CHEBYSHEV COLLOCATION//CYLINDRICAL LAYERED MEDIA
6 0.0000068492 TRANSMISSION EIGENVALUES//INTERIOR TRANSMISSION PROBLEM//LINEAR SAMPLING METHOD
7 0.0000067166 MULTILEVEL FAST MULTIPOLE ALGORITHM MLFMA//METHOD OF MOMENTS MOM//FAST MULTIPOLE METHOD
8 0.0000064403 MAXWELLS EQUATIONS//EDGE ELEMENTS//FINITE ELEMENT TIME DOMAIN FETD METHOD
9 0.0000062982 NON FREDHOLM OPERATORS//MATH PLIPRA//DIV CURL
10 0.0000062862 ELECTROMAGNETIC CAVITY//WEBER SCHAFHEITLIN DISCONTINUOUS INTEGRALS//ITERATIVE PHYSICAL OPTICS