메뉴 건너뛰기




Volumn 26, Issue 4, 2005, Pages 1261-1288

Parallel multilevel tetrahedral grid refinement

Author keywords

Consistent triangulations; Parallelization; Stable refinement; Tetrahedral grid refinement

Indexed keywords

ALGORITHMS; HIERARCHICAL SYSTEMS;

EID: 23944438942     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827503425237     Document Type: Article
Times cited : (16)

References (35)
  • 1
    • 34250882899 scopus 로고
    • Local mesh refinement in 2 and 3 dimensions
    • E. BÄNSCH, Local mesh refinement in 2 and 3 dimensions, Impact Comput. Sci. Engrg., 3 (1991), pp. 181-191.
    • (1991) Impact Comput. Sci. Engrg. , vol.3 , pp. 181-191
    • Bänsch, E.1
  • 3
    • 34250236781 scopus 로고
    • An adaptive, multi-level method for elliptic boundary value problems
    • R.E. BANK, An adaptive, multi-level method for elliptic boundary value problems, Computing, 26 (1981), pp. 91-105.
    • (1981) Computing , vol.26 , pp. 91-105
    • Bank, R.E.1
  • 4
    • 0002641609 scopus 로고
    • Refinement algorithms and data structures for regular local mesh refinement
    • R. Stepleman, ed., North-Holland, Amsterdam
    • R.E. BANK, A.H. SHERMAN, AND A. WEISER, Refinement algorithms and data structures for regular local mesh refinement, in Scientific Computing, R. Stepleman, ed., North-Holland, Amsterdam, 1983, pp. 3-17.
    • (1983) Scientific Computing , pp. 3-17
    • Bank, R.E.1    Sherman, A.H.2    Weiser, A.A.3
  • 5
    • 0347598214 scopus 로고
    • A posteriori error estimates, adaptive local mesh refinement and multigrid iteration
    • Multigrid Methods II, Springer-Verlag, Heidelberg, Germany
    • R.E. BANK, A posteriori error estimates, adaptive local mesh refinement and multigrid iteration, in Multigrid Methods II, Lecture Notes in Math. 1228, Springer-Verlag, Heidelberg, Germany, 1986, pp. 7-23.
    • (1986) Lecture Notes in Math. , vol.1228 , pp. 7-23
    • Bank, R.E.1
  • 8
    • 0012065009 scopus 로고    scopus 로고
    • Load balancing for adaptive multigrid methods
    • P. BASTIAN, Load balancing for adaptive multigrid methods, SIAM J. Sci. Comput., 19 (1998), pp. 1303-1321.
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 1303-1321
    • Bastian, P.1
  • 9
    • 0003383855 scopus 로고    scopus 로고
    • A parallel software-platform for solving problems of partial differential equations using unstructured grids and adaptive multigrid methods
    • E. Krause and W. Jäger, eds., Springer-Verlag, Berlin
    • P. BASTIAN, K. BIRKEN, K. JOHANNSEN, S. LANG, V. REICHENBERGER, G. WITTUM, AND C. WROBEL, A parallel software-platform for solving problems of partial differential equations using unstructured grids and adaptive multigrid methods, in High Performance Computing in Science and Engineering, E. Krause and W. Jäger, eds., Springer-Verlag, Berlin, 1999, pp. 326-339.
    • (1999) High Performance Computing in Science and Engineering , pp. 326-339
    • Bastian, P.1    Birken, K.2    Johannsen, K.3    Lang, S.4    Reichenberger, V.5    Wittum, G.6    Wrobel, A.C.7
  • 10
    • 85160617422 scopus 로고    scopus 로고
    • Complex benchmark computations with UG
    • IWR (SFB 359), University of Heidelberg, Heidelberg, Germany
    • P. BASTIAN AND S. LANG, Complex Benchmark Computations with UG, Technical report 2002-31, IWR (SFB 359), University of Heidelberg, Heidelberg, Germany, 2002.
    • (2002) Technical Report , vol.2002 , Issue.31
    • Bastian, P.1    Lang, S.2
  • 11
    • 0029487171 scopus 로고
    • Tetrahedral grid refinement
    • J. BEY, Tetrahedral grid refinement, Computing, 55 (1995), pp. 355-378.
    • (1995) Computing , vol.55 , pp. 355-378
    • Bey, J.1
  • 13
    • 0039030905 scopus 로고    scopus 로고
    • Simplicial grid refinement: On Freudenthal's algorithm and the optimal number of congruence classes
    • J. BEY, Simplicial grid refinement: On Freudenthal's algorithm and the optimal number of congruence classes, Numer. Math., 85 (2000), pp. 1-29.
    • (2000) Numer. Math. , vol.85 , pp. 1-29
    • Bey, J.1
  • 16
    • 4243714510 scopus 로고    scopus 로고
    • Graph partitioning algorithms for distributing workloads of parallel computations
    • University of Washington, Seattle, WA
    • B.L. CHAMBERLAIN, Graph Partitioning Algorithms for Distributing Workloads of Parallel Computations, Technical report, University of Washington, Seattle, WA, 1998; also available online from http://www.cs.washington.edu/ homes/brad/cv/pubs/degree/ generals.html.
    • (1998) Technical Report
    • Chamberlain, B.L.1
  • 17
    • 0001696328 scopus 로고
    • Simplizialzerlegungen von beschränkter Flachheit
    • H. FREUDENTHAL, Simplizialzerlegungen von beschränkter Flachheit, Ann. of Math. (2), 43 (1942), pp. 580-582.
    • (1942) Ann. of Math. (2) , vol.43 , pp. 580-582
    • Freudenthal, H.1
  • 18
    • 27844591678 scopus 로고    scopus 로고
    • The DROPS package for numerical simulations of incompressible flows using parallel adaptive multigrid techniques
    • February
    • S. GROß, J. PETERS, V. REICHELT, AND A. REUSKEN, The DROPS Package for Numerical Simulations of Incompressible Flows Using Parallel Adaptive Multigrid Techniques, IGPM Report 211, http://www.igpm.rwth-aachen.de/reports/ html/rep.2002.html (February 2002).
    • (2002) IGPM Report , vol.211
    • Groß, S.1    Peters, J.2    Reichelt, V.3    Reusken, A.4
  • 25
    • 33645443159 scopus 로고    scopus 로고
    • UG - A parallel software tool for unstructured adaptive multigrids
    • Parallel Computing: Fundamentals and Applications, E.H. D'Hollancler, J.R. Joubert, F.J. Peters, and H. Sips, eds., Imperial College Press, Delft, The Netherlands
    • S. LANG, UG - A parallel software tool for unstructured adaptive multigrids, in Parallel Computing: Fundamentals and Applications, Proceedings of the International Conference ParCo99, E.H. D'Hollancler, J.R. Joubert, F.J. Peters, and H. Sips, eds., Imperial College Press, Delft, The Netherlands, 1999.
    • (1999) Proceedings of the International Conference ParCo99
    • Lang, S.1
  • 26
    • 0000311308 scopus 로고
    • Quality local refinement of tetrahedral meshes based on bisection
    • A. LIU AND B. JOE, Quality local refinement of tetrahedral meshes based on bisection, SIAM J. Sci. Comput., 16 (1995), pp. 1269-1291.
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 1269-1291
    • Liu, A.1    Joe, B.2
  • 27
    • 0030366994 scopus 로고    scopus 로고
    • Quality local refinement of tetrahedral meshes based on 8-subtetrahedron subdivision
    • A. LIU AND B. JOE, Quality local refinement of tetrahedral meshes based on 8-subtetrahedron subdivision, Math. Comp., 65 (1996), pp. 1183-1200.
    • (1996) Math. Comp. , vol.65 , pp. 1183-1200
    • Liu, A.1    Joe, B.2
  • 28
    • 0000430187 scopus 로고
    • Local bisection refinement for N-simplicial grids generated by reflection
    • J.M. MAUBACH, Local bisection refinement for N-simplicial grids generated by reflection, SIAM J. Sci. Comput., 16 (1995), pp. 210-227.
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 210-227
    • Maubach, J.M.1
  • 30
    • 0001940223 scopus 로고
    • Adaptive refinement for arbitrary finite-element spaces with hierarchical basis
    • W.F. MITCHELL, Adaptive refinement for arbitrary finite-element spaces with hierarchical basis, J. Comput. Appl. Math., 36 (1991), pp. 65-78.
    • (1991) J. Comput. Appl. Math. , vol.36 , pp. 65-78
    • Mitchell, W.F.1
  • 31
    • 0021405398 scopus 로고
    • Algorithms for refining triangular grids suitable for adaptive and multigrid techniques
    • M.C. RIVARA, Algorithms for refining triangular grids suitable for adaptive and multigrid techniques, Internat. J. Numer. Methods Engrg., 20 (1984), pp. 745-756.
    • (1984) Internat. J. Numer. Methods Engrg. , vol.20 , pp. 745-756
    • Rivara, M.C.1
  • 32
    • 0031374455 scopus 로고    scopus 로고
    • An algorithm for adaptive mesh refinement in n dimensions
    • C.T. TRAXLER, An algorithm for adaptive mesh refinement in n dimensions, Computing, 59 (1997), pp. 115-137.
    • (1997) Computing , vol.59 , pp. 115-137
    • Traxler, C.T.1
  • 33
    • 85160620195 scopus 로고    scopus 로고
    • UG, http://cox.iwr.uni-heidelberg.de/~ug/.
  • 34
    • 0031574533 scopus 로고    scopus 로고
    • Parallel dynamic graph partitioning for adaptive unstructured meshes
    • C. WALSHAW, M. CROSS, AND M. EVERETT, Parallel dynamic graph partitioning for adaptive unstructured meshes, J. Parallel Distrib. Comput., 47 (1997), pp. 102-108.
    • (1997) J. Parallel Distrib. Comput. , vol.47 , pp. 102-108
    • Walshaw, C.1    Cross, M.2    Everett, A.M.3
  • 35
    • 0039803032 scopus 로고
    • Successive subdivisions of tetrahedra and multigrid methods on tetrahedral meshes
    • S. ZHANG, Successive subdivisions of tetrahedra and multigrid methods on tetrahedral meshes, Houston J. Math., 21 (1995), pp. 541-556.
    • (1995) Houston J. Math. , vol.21 , pp. 541-556
    • Zhang, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.