Comments on the 'Meshless Helmholtz-Hodge decomposition'

IEEE Transactions on Visualization and Computer Graphics

Volumn 19, Issue 3, 2013, Pages 527-528

  Bhatia, Harsh ^a   Norgard, Gregory ^b   Pascucci, Valerio ^a   Bremer, Peer Timo ^c  

^a UNIVERSITY OF UTAH   (United States)

^b Numerica   (United States)

^c LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

boundary conditions; Helmholtz Hodge decomposition.; Vector fields

Indexed keywords

DIVERGENCE FREE; FUNDAMENTAL THEOREMS; HARMONIC COMPONENTS; HELMHOLTZ-HODGE DECOMPOSITION; MESHLESS; ORTHOGONALITY; VECTOR FIELDS;

COMPUTER GRAPHICS; SOFTWARE ENGINEERING;

BOUNDARY CONDITIONS;

ALGORITHM; COMPUTER GRAPHICS; FLOW KINETICS; METHODOLOGY; NOTE; THEORETICAL MODEL;

ALGORITHMS; COMPUTER GRAPHICS; MODELS, THEORETICAL; RHEOLOGY;

MLCS; MLOWN;

EID: 84872240436     PISSN: 10772626     EISSN: None     Source Type: Journal    
DOI: 10.1109/TVCG.2012.62     Document Type: Review

References (8)

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2. F.M. Denaro, "On the Application of the Helmholtz-Hodge Decomposition in Projection Methods for Incompressible Flows with General Boundary Conditions," Int'l J. Numerical Methods in Fluids, vol. 43, pp. 43-69, 2003. (Pubitemid 37065756)
3. D.J. Griffiths, Introduction to Electrodynamics, second ed. Addison Wesley, 1999.
4. H. Lamb, Hydrodynamics, sixth ed. Cambridge Univ. Press, 1932.
5. F. Petronetto, A. Paiva, M. Lage, G. Tavares, H. Lopes, and T. Lewiner, "Meshless Helmholtz-Hodge Decomposition," IEEE Trans. Visualization and Computer Graphics, vol. 16, no. 2, pp. 338-349, Mar./Apr. 2010.
6. K. Polthier and E. Preuß, "Variational Approach to Vector Field Decomposition," Proc. Eurographics Workshop Scientific Visualization, 2000.
7. K. Polthier and E. Preuß, "Identifying Vector Fields Singularities Using a Discrete Hodge Decomposition," Proc. Visualization and Math. III, pp. 112-134, 2003.
8. Y. Tong, S. Lombeyda, A. Hirani, and M. Desbrun, "Discrete Multiscale Vector Field Decomposition," ACM Trans. Graphics, vol. 22, no. 3, pp. 445-452, 2003.