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Volumn 60, Issue 9, 2009, Pages 1011-1031

Linear Galerkin vs mixed finite element 2D flow fields

Author keywords

Finite elements; Mass balance; Mixed finite elements; Potential flow; Velocity field; Voronoi tessellation

Indexed keywords

FINITE ELEMENTS; MASS BALANCE; MIXED FINITE ELEMENTS; VELOCITY FIELD; VORONOI TESSELLATION;

EID: 70349651347     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1929     Document Type: Article
Times cited : (12)

References (35)
  • 2
    • 0344899577 scopus 로고    scopus 로고
    • Superconvergence and postprocessing of fluxes from lowest order mixed methods on triangles and tetrahedra
    • Dupont TF, Keenan PT. Superconvergence and postprocessing of fluxes from lowest order mixed methods on triangles and tetrahedra. SIAM Journal on Scientific Computing 1998; 19(4):1322-1332.
    • (1998) SIAM Journal on Scientific Computing , vol.19 , Issue.4 , pp. 1322-1332
    • Dupont, T.F.1    Keenan, P.T.2
  • 3
    • 0027068827 scopus 로고
    • Continuous velocity fields and path lines in linear, bilinear, and trilinear finite elements
    • Cordes C, Kinzelbach W. Continuous velocity fields and path lines in linear, bilinear, and trilinear finite elements. Water Resources Research 1992; 28(11):2903-2911.
    • (1992) Water Resources Research , vol.28 , Issue.11 , pp. 2903-2911
    • Cordes, C.1    Kinzelbach, W.2
  • 4
    • 0028669967 scopus 로고
    • Application of the mixed finite element approximation in a groundwater flow model: Luxury or necessity?
    • Mosé R, Siegel P, Ackerer P, Chavent G. Application of the mixed finite element approximation in a groundwater flow model: luxury or necessity? Water Resources Research 1994; 30(11):3001-3012.
    • (1994) Water Resources Research , vol.30 , Issue.11 , pp. 3001-3012
    • Mosé, R.1    Siegel, P.2    Ackerer, P.3    Chavent, G.4
  • 5
    • 70349647279 scopus 로고    scopus 로고
    • Cordes C, Kinzelbach W. Comment on 'Application of the mixed hybrid finite element approximation in a groundwater flow model: luxury or necessity?' by Mosé et al. Water Resources Research 1996; 32(6):1905-1909.
    • Cordes C, Kinzelbach W. Comment on 'Application of the mixed hybrid finite element approximation in a groundwater flow model: luxury or necessity?' by Mosé et al. Water Resources Research 1996; 32(6):1905-1909.
  • 6
    • 0000370771 scopus 로고
    • A control volume finite element approach to NAPL groundwater contamination
    • Forsyth PA. A control volume finite element approach to NAPL groundwater contamination. SIAM Journal on Scientific and Statistical Computing 1991; 12(5):1029-1057.
    • (1991) SIAM Journal on Scientific and Statistical Computing , vol.12 , Issue.5 , pp. 1029-1057
    • Forsyth, P.A.1
  • 7
    • 0001296955 scopus 로고    scopus 로고
    • Finite element approximation of the diffusion operator on tetrahedra
    • Putti M, Cordes C. Finite element approximation of the diffusion operator on tetrahedra. SIAM Journal on Scientific and Statistical Computing 1998; 19(4):1154-1168.
    • (1998) SIAM Journal on Scientific and Statistical Computing , vol.19 , Issue.4 , pp. 1154-1168
    • Putti, M.1    Cordes, C.2
  • 8
    • 0019677693 scopus 로고
    • On the computation of Darcy velocity and mass balance in finite elements modeling of groundwater flow
    • Yeh G. On the computation of Darcy velocity and mass balance in finite elements modeling of groundwater flow. Water Resources Research 1981; 17(5):1529-1534.
    • (1981) Water Resources Research , vol.17 , Issue.5 , pp. 1529-1534
    • Yeh, G.1
  • 9
    • 33845637272 scopus 로고    scopus 로고
    • Mesh locking effects in the finite volume solution of 2-d anisotropic diffusion equations
    • DOI: 10.1016/j.jcp.2006.05.026
    • Manzini G, Putti M. Mesh locking effects in the finite volume solution of 2-d anisotropic diffusion equations. Journal of Computational Physics 2007; 220:751-771. DOI: 10.1016/j.jcp.2006.05.026.
    • (2007) Journal of Computational Physics , vol.220 , pp. 751-771
    • Manzini, G.1    Putti, M.2
  • 11
    • 0001175293 scopus 로고
    • A mixed finite element method for second order elliptic problems
    • Mathematical Aspects of the Finite Elements Method, Galligani I, Magenes E eds, Springer: Berlin, New York
    • Raviart PA, Thomas JM. A mixed finite element method for second order elliptic problems. In Mathematical Aspects of the Finite Elements Method, Galligani I, Magenes E (eds). Lecture Notes in Mathematics, vol. 606. Springer: Berlin, New York, 1977.
    • (1977) Lecture Notes in Mathematics , vol.606
    • Raviart, P.A.1    Thomas, J.M.2
  • 12
    • 0026398228 scopus 로고
    • A unified physical presentation of mixed, mixed-hybrid finite elements and standard finite difference approximations for the determination of velocities in water flow problems
    • Chavent G, Roberts JE. A unified physical presentation of mixed, mixed-hybrid finite elements and standard finite difference approximations for the determination of velocities in water flow problems. Advances in Water Resources 1991; 14(6):329-348.
    • (1991) Advances in Water Resources , vol.14 , Issue.6 , pp. 329-348
    • Chavent, G.1    Roberts, J.E.2
  • 14
    • 0024776669 scopus 로고
    • On first and second order box schemes
    • Hackbusch W. On first and second order box schemes. Computing 1989; 41:277-296.
    • (1989) Computing , vol.41 , pp. 277-296
    • Hackbusch, W.1
  • 15
    • 0030395317 scopus 로고    scopus 로고
    • Relations between FEM and FVM applied to the Poisson equation
    • Vanselow R. Relations between FEM and FVM applied to the Poisson equation. Computing 1996; 57:93-104.
    • (1996) Computing , vol.57 , pp. 93-104
    • Vanselow, R.1
  • 16
    • 0035840998 scopus 로고    scopus 로고
    • Accuracy of Galerkin finite elements for the groundwater flow equation in two and three dimensional triangulations
    • Cordes C, Putti M. Accuracy of Galerkin finite elements for the groundwater flow equation in two and three dimensional triangulations. International Journal for Numerical Methods in Engineering 2001; 52:371-387.
    • (2001) International Journal for Numerical Methods in Engineering , vol.52 , pp. 371-387
    • Cordes, C.1    Putti, M.2
  • 17
    • 0029774905 scopus 로고    scopus 로고
    • Triangular mixed finite elements vs. finite differences and finite volumes in groundwater flow modeling
    • Aldama AA, Aparicio J, Brebbia C, Pinder WGIHG eds, Computational Mechanics and Elsevier Applied Sciences: Southampton, London
    • Cordes C, Putti M. Triangular mixed finite elements vs. finite differences and finite volumes in groundwater flow modeling. In International Conference on Computational Methods in Water Resources XII, Aldama AA, Aparicio J, Brebbia C, Pinder WGIHG (eds). Computational Mechanics and Elsevier Applied Sciences: Southampton, London, 1996; 61-68.
    • (1996) International Conference on Computational Methods in Water Resources XII , pp. 61-68
    • Cordes, C.1    Putti, M.2
  • 18
    • 0001198473 scopus 로고    scopus 로고
    • Mixed finite elements for elliptic problems with ensor coefficients as cell-centered finite differences
    • Arbogast T, Wheeler MF, Yotov I. Mixed finite elements for elliptic problems with ensor coefficients as cell-centered finite differences. SIAM Journal on Numerical Analysis 1997; 34(2):828-852.
    • (1997) SIAM Journal on Numerical Analysis , vol.34 , Issue.2 , pp. 828-852
    • Arbogast, T.1    Wheeler, M.F.2    Yotov, I.3
  • 20
    • 70350322945 scopus 로고    scopus 로고
    • The finite volume method
    • Ciarlet Ph, Lions JL eds, North Holland: Amsterdam
    • Eymard R, Gallouët T, Herbin R. The finite volume method. In Handbook for Numerical Analysis, Ciarlet Ph, Lions JL (eds). North Holland: Amsterdam, 2000; 715-1022.
    • (2000) Handbook for Numerical Analysis , pp. 715-1022
    • Eymard, R.1    Gallouët, T.2    Herbin, R.3
  • 21
    • 0036379361 scopus 로고    scopus 로고
    • Numerical reliability for mixed methods applied to flow problems in porous media
    • Hoteit H, Erhel J, Mosè R, Philippe B, Ackerer P. Numerical reliability for mixed methods applied to flow problems in porous media. Computational Geosciences 2002; 6(2):161-194.
    • (2002) Computational Geosciences , vol.6 , Issue.2 , pp. 161-194
    • Hoteit, H.1    Erhel, J.2    Mosè, R.3    Philippe, B.4    Ackerer, P.5
  • 23
    • 0033587522 scopus 로고    scopus 로고
    • Mixed finite elements and Newton-type linearization for the solution of Richard's equation
    • Bergamaschi L, Putti M. Mixed finite elements and Newton-type linearization for the solution of Richard's equation. International Journal for Numerical Methods in Engineering 1999; 45(8):1025-1046.
    • (1999) International Journal for Numerical Methods in Engineering , vol.45 , Issue.8 , pp. 1025-1046
    • Bergamaschi, L.1    Putti, M.2
  • 24
    • 22144493785 scopus 로고    scopus 로고
    • Relationships among some locally conservative discretization methods which handle discontinuous coefficients
    • DOI: 10.1007/ s10596-005-1815-9
    • Klausen RA, Russell TF. Relationships among some locally conservative discretization methods which handle discontinuous coefficients. Computational Geosciences 2005; 8:341-377. DOI: 10.1007/ s10596-005-1815-9.
    • (2005) Computational Geosciences , vol.8 , pp. 341-377
    • Klausen, R.A.1    Russell, T.F.2
  • 25
    • 33646721932 scopus 로고    scopus 로고
    • Finite element exterior calculus, homological techniques, and applications
    • Arnold DN, Falk RS, Winther R. Finite element exterior calculus, homological techniques, and applications. Acta Numerica 2006; 1-155.
    • (2006) Acta Numerica , pp. 1-155
    • Arnold, D.N.1    Falk, R.S.2    Winther, R.3
  • 26
    • 0003605833 scopus 로고
    • Three-dimensional Delaunay triangulations for finite element approximations to a second-order diffusion operator
    • Letniowski FW. Three-dimensional Delaunay triangulations for finite element approximations to a second-order diffusion operator. SIAM Journal on Scientific and Statistical Computing 1992; 13(3):765-770.
    • (1992) SIAM Journal on Scientific and Statistical Computing , vol.13 , Issue.3 , pp. 765-770
    • Letniowski, F.W.1
  • 27
    • 0002497330 scopus 로고
    • The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
    • Kershaw DS. The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations. Journal of Computational Physics 1978; 26:43-65.
    • (1978) Journal of Computational Physics , vol.26 , pp. 43-65
    • Kershaw, D.S.1
  • 28
    • 80051587955 scopus 로고    scopus 로고
    • Behavior of the mixed hybrid finite element method for the solution of diffusion equations on unstructured triangulations
    • Miller CT, Farthing MW, Gray WG, Pinder GF eds, Elsevier: Amsterdam
    • Mazzia A, Putti M. Behavior of the mixed hybrid finite element method for the solution of diffusion equations on unstructured triangulations. In Computational Methods in Water Resources, Miller CT, Farthing MW, Gray WG, Pinder GF (eds), vol. 1. Elsevier: Amsterdam, 2004; 1053-1066.
    • (2004) Computational Methods in Water Resources , vol.1 , pp. 1053-1066
    • Mazzia, A.1    Putti, M.2
  • 29
    • 0022077278 scopus 로고
    • An inexpensive method for the evaluation of the solution of the lowest order Raviart-Thomas mixed method
    • Marini LD. An inexpensive method for the evaluation of the solution of the lowest order Raviart-Thomas mixed method. SIAM Journal on Numerical Analysis 1985; 22(3):493-496.
    • (1985) SIAM Journal on Numerical Analysis , vol.22 , Issue.3 , pp. 493-496
    • Marini, L.D.1
  • 30
    • 70349642808 scopus 로고    scopus 로고
    • On elliptic interface problems. Personal Communication
    • Kellogg RB. On elliptic interface problems. Personal Communication 2006.
    • (2006)
    • Kellogg, R.B.1
  • 33
    • 57849090887 scopus 로고    scopus 로고
    • An analysis of monotonicity conditions in the mixed hybrid finite element method on unstructured triangulations
    • DOI: 10.1002/ nme.2330
    • Mazzia A. An analysis of monotonicity conditions in the mixed hybrid finite element method on unstructured triangulations. International Journal for Numerical Methods in Engineering, 2008; DOI: 10.1002/ nme.2330.
    • (2008) International Journal for Numerical Methods in Engineering
    • Mazzia, A.1
  • 34
    • 70349648882 scopus 로고    scopus 로고
    • The MathWorks Inc, The MathWorks Inc, Natick, MA, Available from:, 21 March 2008
    • The MathWorks Inc. MATLAB. Complete Documentation. The MathWorks Inc., Natick, MA, 2008. Available from: http//www.mathworks.com/access/ helpdesk/help/techdoc/matlab.html (21 March 2008).
    • (2008) MATLAB. Complete Documentation


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.