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Volumn 192, Issue 35-36, 2003, Pages 3933-3957

Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ERROR ANALYSIS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0042424790     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(03)00394-3     Document Type: Article
Times cited : (77)

References (22)
  • 1
    • 84976826673 scopus 로고
    • Voronoi diagrams-A survey of a fundamental geometric data structure
    • Aurenhammer F. Voronoi diagrams-A survey of a fundamental geometric data structure ACM Comput. Surv. 23 1991 345-405
    • (1991) ACM Comput. Surv. , vol.23 , pp. 345-405
    • Aurenhammer, F.1
  • 3
    • 0001063435 scopus 로고
    • On the finite volume element method
    • Cai Z. On the finite volume element method Numer. Math. 58 1991 713-735
    • (1991) Numer. Math. , vol.58 , pp. 713-735
    • Cai, Z.1
  • 4
  • 5
    • 0033317391 scopus 로고    scopus 로고
    • Centroidal Voronoi tessellations: Applications and algorithms
    • Du Q. Faber V. Gunzburger M. Centroidal Voronoi tessellations: Applications and algorithms SIAM Rev. 41 1999 637-676
    • (1999) SIAM Rev. , vol.41 , pp. 637-676
    • Du, Q.1    Faber, V.2    Gunzburger, M.3
  • 6
    • 0042100528 scopus 로고    scopus 로고
    • Constrained centroidal Voronoi tessellations on general surfaces
    • Du Q. Gunzburger M. Ju L. Constrained centroidal Voronoi tessellations on general surfaces SIAM J. Sci. Comput. 24 2003 1488-1506
    • (2003) SIAM J. Sci. Comput. , vol.24 , pp. 1488-1506
    • Du, Q.1    Gunzburger, M.2    Ju, L.3
  • 8
    • 84966249747 scopus 로고
    • Local refinement techniques for elliptic problems on cell-centered grids I. Error analysis
    • Ewing R. Lazarov R. Vassilevski P. Local refinement techniques for elliptic problems on cell-centered grids I. Error analysis Math. Comput. 56 1991 437-461
    • (1991) Math. Comput. , vol.56 , pp. 437-461
    • Ewing, R.1    Lazarov, R.2    Vassilevski, P.3
  • 9
    • 0010974195 scopus 로고
    • Finite elements for the Beltrami operator on arbitrary surfaces
    • S. Hildebrandt, R. Leis (Eds.), Berlin: Springer
    • Dziuk G. Finite elements for the Beltrami operator on arbitrary surfaces Hildebrandt S. Leis R. Partial Differential Equations and Calculus of Variations Lecture Notes in Mathematics vol. 1357 1988 142-155 Springer Berlin
    • (1988) Partial Differential Equations and Calculus of Variations , vol.1357 , pp. 142-155
    • Dziuk, G.1
  • 10
    • 0041638560 scopus 로고    scopus 로고
    • Error estimates on the approximate finite volume solution of convection diffusion equations with general boundary conditions
    • Gallouët T. Herbin R. Vignal M. Error estimates on the approximate finite volume solution of convection diffusion equations with general boundary conditions SIAM J. Numer. Anal. 37 2000 1935-1972
    • (2000) SIAM J. Numer. Anal. , vol.37 , pp. 1935-1972
    • Gallouët, T.1    Herbin, R.2    Vignal, M.3
  • 12
    • 84985371470 scopus 로고
    • An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh
    • Herbin R. An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh Numer. Meth. PDE 11 1995 165-173
    • (1995) Numer. Meth. PDE , vol.11 , pp. 165-173
    • Herbin, R.1
  • 13
  • 14
    • 0036787154 scopus 로고    scopus 로고
    • Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations
    • Ju L. Du Q. Gunzburger M. Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations Paral. Comput. 28 2002 1477-1500
    • (2002) Paral. Comput. , vol.28 , pp. 1477-1500
    • Ju, L.1    Du, Q.2    Gunzburger, M.3
  • 15
  • 16
    • 0000774381 scopus 로고    scopus 로고
    • Finite volume methods on Voronoi meshes
    • Mishev I. Finite volume methods on Voronoi meshes Numer. Meth. PDE 14 1998 193-212
    • (1998) Numer. Meth. PDE , vol.14 , pp. 193-212
    • Mishev, I.1
  • 18
    • 0031221068 scopus 로고    scopus 로고
    • Algorithm 772. Stripack: Delaunay triangulation and Voronoi diagrams on the surface of a sphere
    • Renka R. Algorithm 772. Stripack: Delaunay triangulation and Voronoi diagrams on the surface of a sphere ACM Trans. Math. Soft. 23 1997 416-434
    • (1997) ACM Trans. Math. Soft. , vol.23 , pp. 416-434
    • Renka, R.1
  • 19
    • 34250073797 scopus 로고
    • Box schemes on quadrilateral meshes
    • Schmidt T. Box schemes on quadrilateral meshes Computing 51 1993 271-292
    • (1993) Computing , vol.51 , pp. 271-292
    • Schmidt, T.1
  • 20
    • 0000389064 scopus 로고
    • Finite volume variational formulation: Application to domain decomposition methods
    • Thomas J. Trujillo D. Finite volume variational formulation: Application to domain decomposition methods Contem. Math. 157 1994 127-132
    • (1994) Contem. Math. , vol.157 , pp. 127-132
    • Thomas, J.1    Trujillo, D.2
  • 22
    • 0001416923 scopus 로고
    • Finite difference schemes on triangular cell-centered grids with local refinement
    • Vassilevski P. Petrova S. Lazarov R. Finite difference schemes on triangular cell-centered grids with local refinement SIAM J. Sci. Stat. Comput. 13 1992 1287-1313
    • (1992) SIAM J. Sci. Stat. Comput. , vol.13 , pp. 1287-1313
    • Vassilevski, P.1    Petrova, S.2    Lazarov, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.