메뉴 건너뛰기




Volumn , Issue , 2008, Pages

Dendro: Parallel algorithms for multigrid and AMR methods on 2:1 balanced octrees

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE MESH REFINEMENT; DISCRETIZATIONS; ELLIPTIC OPERATOR; FINITE ELEMENT DISCRETIZATIONS; KEY FEATURE; LINUX CLUSTERS; MAIN MODULE; MATRIX-FREE IMPLEMENTATION; MULTI-GRID; OCTREE GENERATION; OCTREES; SCALAR AND VECTOR FIELDS; SECOND ORDERS;

EID: 70350755749     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SC.2008.5218558     Document Type: Conference Paper
Times cited : (45)

References (40)
  • 1
    • 23944459761 scopus 로고    scopus 로고
    • Ultrascalable implicit finite element analyses in solid mechanics with over a half a billion degrees of freedom
    • Proceedings of SC2004, Pittsburgh, Pennsylvania, ACM/IEEE
    • M.F. Adams, H.H. Bayraktar, T.M. Keaveny, and P. Papadopoulos. Ultrascalable implicit finite element analyses in solid mechanics with over a half a billion degrees of freedom. In Proceedings of SC2004, The SCxy Conference series in high performance networking and computing, Pittsburgh, Pennsylvania, 2004. ACM/IEEE.
    • (2004) The SCxy Conference series in high performance networking and computing
    • Adams, M.F.1    Bayraktar, H.H.2    Keaveny, T.M.3    Papadopoulos, P.4
  • 2
    • 84877043342 scopus 로고    scopus 로고
    • Volkan Akcelik, Jacobo Bielak, George Biros, Ioannis Epanomeritakis, Antonio Fernandez, Omar Ghattas, Eui Joong Kim, Julio Lopez, David R. O'Hallaron, Tiankai Tu, and John Urbanic. High resolution forward and inverse earthquake modeling on terascale computers. In SC '03: Proceedings of the 2003 ACM/IEEE conference on Supercomputing. ACM, 2003.
    • Volkan Akcelik, Jacobo Bielak, George Biros, Ioannis Epanomeritakis, Antonio Fernandez, Omar Ghattas, Eui Joong Kim, Julio Lopez, David R. O'Hallaron, Tiankai Tu, and John Urbanic. High resolution forward and inverse earthquake modeling on terascale computers. In SC '03: Proceedings of the 2003 ACM/IEEE conference on Supercomputing. ACM, 2003.
  • 4
    • 70350767554 scopus 로고    scopus 로고
    • Satish Balay, Kris Buschelman, William D. Gropp, Dinesh Kaushik, Matt Knepley, Lois Curfman McInnes, Barry F. Smith, and Hong Zhang. PETSc home page, 2001. www.mcs.anl.gov/petsc.
    • Satish Balay, Kris Buschelman, William D. Gropp, Dinesh Kaushik, Matt Knepley, Lois Curfman McInnes, Barry F. Smith, and Hong Zhang. PETSc home page, 2001. www.mcs.anl.gov/petsc.
  • 6
    • 0442298658 scopus 로고    scopus 로고
    • Multigrid techniques for finite elements on locally refined meshes
    • R. Becker and M. Braack. Multigrid techniques for finite elements on locally refined meshes. Numerical Linear Algebra with applications, 7:363-379, 2000.
    • (2000) Numerical Linear Algebra with applications , vol.7 , pp. 363-379
    • Becker, R.1    Braack, M.2
  • 7
    • 70350747784 scopus 로고    scopus 로고
    • B Bergen, F. Hulsemann, and U. Rude. Is 1.7 × 1010 Unknowns the Largest Finite Element System that Can Be Solved Today? In SC '05: Proceedings of the 2005 ACM/IEEE conference on Supercomputing, page 5, Washington, DC, USA, 2005. IEEE Computer Society.
    • B Bergen, F. Hulsemann, and U. Rude. Is 1.7 × 1010 Unknowns the Largest Finite Element System that Can Be Solved Today? In SC '05: Proceedings of the 2005 ACM/IEEE conference on Supercomputing, page 5, Washington, DC, USA, 2005. IEEE Computer Society.
  • 10
    • 33749996686 scopus 로고    scopus 로고
    • A parallel adaptive cartesian pde solver using space-filling curves
    • E. Wolfgang Nagel, V. Wolfgang Walter, and Wolfgang Lehner, editors, Euro-Par 2006, Parallel Processing, 12th International Euro-Par Conference, of, Berlin Heidelberg, Springer-Verlag
    • Hans-Joachim Bungartz, Miriam Mehl, and Tobias Weinzierl. A parallel adaptive cartesian pde solver using space-filling curves. In E. Wolfgang Nagel, V. Wolfgang Walter, and Wolfgang Lehner, editors, Euro-Par 2006, Parallel Processing, 12th International Euro-Par Conference, volume 4128 of LNCS, pages 1064-1074, Berlin Heidelberg, 2006. Springer-Verlag.
    • (2006) LNCS , vol.4128 , pp. 1064-1074
    • Bungartz, H.-J.1    Mehl, M.2    Weinzierl, T.3
  • 11
    • 18144424983 scopus 로고    scopus 로고
    • Dynamic octree load balancing using space-filling curves
    • Technical Report CS-03-01, Williams College Department of Computer Science
    • Paul M. Campbell, Karen D. Devine, Joseph E. Flaherty, Luis G. Gervasio, and James D. Teresco. Dynamic octree load balancing using space-filling curves. Technical Report CS-03-01, Williams College Department of Computer Science, 2003.
    • (2003)
    • Campbell, P.M.1    Devine, K.D.2    Flaherty, J.E.3    Gervasio, L.G.4    Teresco, J.D.5
  • 12
    • 67149119815 scopus 로고    scopus 로고
    • A survey of parallelization techniques for multigrid solvers
    • Michael A. Heroux, Padma Raghavan, and Horst D. Simon, editors, Cambridge University Press
    • Edmond Chow, Robert D. Falgout, Jonathan J. Hu, Raymond S. Tuminaro, and Ulrike M. Yang. A survey of parallelization techniques for multigrid solvers. In Michael A. Heroux, Padma Raghavan, and Horst D. Simon, editors, Parallel Processing for Scientific Computing, pages 179-195. Cambridge University Press, 2006.
    • (2006) Parallel Processing for Scientific Computing , pp. 179-195
    • Chow, E.1    Falgout, R.D.2    Hu, J.J.3    Tuminaro, R.S.4    Yang, U.M.5
  • 13
    • 0003825067 scopus 로고    scopus 로고
    • Analysis of transport phenomena
    • Oxford University Press, New York
    • William M. Deen. Analysis of transport phenomena. Topics in Chemical Engineering. Oxford University Press, New York, 1998.
    • (1998) Topics in Chemical Engineering
    • Deen, W.M.1
  • 14
    • 0024875086 scopus 로고
    • Toward a universal hp adaptive finite element strategy part 1: Constrained approximation and data structure
    • L.F. Demkowicz, J.T. Oden, and W. Rachowicz. Toward a universal hp adaptive finite element strategy part 1: Constrained approximation and data structure. Computer Methods in Applied Mechanics and Engineering, 77:79-112, 1989.
    • (1989) Computer Methods in Applied Mechanics and Engineering , vol.77 , pp. 79-112
    • Demkowicz, L.F.1    Oden, J.T.2    Rachowicz, W.3
  • 15
    • 84880490288 scopus 로고    scopus 로고
    • The design and implementation of Hypre, a library of parallel high performance preconditioners
    • A.M. Bruaset and A. Tveito, editors, Springer-Verlag
    • R.D. Falgout, J.E. Jones, and U.M. Yang. The design and implementation of Hypre, a library of parallel high performance preconditioners. In A.M. Bruaset and A. Tveito, editors, Numerical Solution of Partial Differential Equations on Parallel Computers, volume 51, pages 267-294. Springer-Verlag, 2006.
    • (2006) Numerical Solution of Partial Differential Equations on Parallel Computers , vol.51 , pp. 267-294
    • Falgout, R.D.1    Jones, J.E.2    Yang, U.M.3
  • 18
    • 84988751276 scopus 로고    scopus 로고
    • Parallel multigrid in an adaptive PDE solver based on hashing
    • E. H. D'Hollander, G. R. Joubert, F. J. Peters, and U. Trottenberg, editors, 19-22 September, Bonn, Germany, Amsterdam, Elsevier, North-Holland
    • M. Griebel and G. Zumbusch. Parallel multigrid in an adaptive PDE solver based on hashing. In E. H. D'Hollander, G. R. Joubert, F. J. Peters, and U. Trottenberg, editors, Parallel Computing: Fundamentals, Applications and New Directions, Proceedings of the Conference ParCo'97, 19-22 September 1997, Bonn, Germany, volume 12, pages 589-600, Amsterdam, 1998. Elsevier, North-Holland.
    • (1997) Parallel Computing: Fundamentals, Applications and New Directions, Proceedings of the Conference ParCo'97 , vol.12 , pp. 589-600
    • Griebel, M.1    Zumbusch, G.2
  • 20
    • 34648834227 scopus 로고    scopus 로고
    • A cache-aware algorithm for PDEs on hierarchical data structures based on space-filling curves
    • Frank Günther, Miriam Mehl, Markus Pögl, and Christoph Zenger. A cache-aware algorithm for PDEs on hierarchical data structures based on space-filling curves. SIAM Journal on Scientific Computing, 28(5):1634-1650, 2006.
    • (2006) SIAM Journal on Scientific Computing , vol.28 , Issue.5 , pp. 1634-1650
    • Günther, F.1    Mehl, M.2    Pögl, M.3    Zenger, C.4
  • 21
    • 0003337547 scopus 로고    scopus 로고
    • An introduction to continuum mechanics
    • of, Academic Press, San Diego
    • Morton E. Gurtin. An introduction to continuum mechanics, volume 158 of Mathematics in Science and Engineering. Academic Press, San Diego, 2003.
    • (2003) Mathematics in Science and Engineering , vol.158
    • Gurtin, M.E.1
  • 22
    • 0036532956 scopus 로고    scopus 로고
    • BoomerAMG: A parallel algebraic multigrid solver and preconditioner
    • Van Emden Henson and Ulrike Meier Yang. BoomerAMG: a parallel algebraic multigrid solver and preconditioner. Appl. Numer. Math., 41(1):155-177, 2002.
    • (2002) Appl. Numer. Math , vol.41 , Issue.1 , pp. 155-177
    • Emden Henson, V.1    Meier Yang, U.2
  • 23
    • 84880502911 scopus 로고    scopus 로고
    • Frank H ulsemann, Markus Kowarschik, Marcus Mohr, and Ulrich R ude. Parallel geometric multigrid. In Are M. Bruaset and Aslka Tveito, editors, Numerical Solution of Partial Differential Equations on Parallel Computers, pages 165-208. Birk auser, 2006.
    • Frank H ulsemann, Markus Kowarschik, Marcus Mohr, and Ulrich R ude. Parallel geometric multigrid. In Are M. Bruaset and Aslka Tveito, editors, Numerical Solution of Partial Differential Equations on Parallel Computers, pages 165-208. Birk auser, 2006.
  • 25
    • 0038621899 scopus 로고    scopus 로고
    • SuperLU DIST: A Scalable Distributed-Memory Sparse Direct Solver for Unsymmetric Linear Systems
    • June
    • Xiaoye S. Li and James W. Demmel. SuperLU DIST: A Scalable Distributed-Memory Sparse Direct Solver for Unsymmetric Linear Systems. ACM Trans. Mathematical Software, 29(2):110-140, June 2003.
    • (2003) ACM Trans. Mathematical Software , vol.29 , Issue.2 , pp. 110-140
    • Li, X.S.1    Demmel, J.W.2
  • 29
    • 70350787410 scopus 로고    scopus 로고
    • Abe's system
    • NCSA, /UserInfo/Resources/ Hardware/Intel64Cluster
    • NCSA. Abe's system architecture. ncsa.uiuc.edu/UserInfo/Resources/ Hardware/Intel64Cluster.
  • 30
    • 0141515637 scopus 로고    scopus 로고
    • Gerris: A tree-based adaptive solver for the incompressible Euler equations in complex geometries
    • 20 September
    • S. Popinet. Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries. Journal of Computational Physics, 190:572-600(29), 20 September 2003.
    • (2003) Journal of Computational Physics , vol.190 , Issue.29 , pp. 572-600
    • Popinet, S.1
  • 32
    • 70350774558 scopus 로고    scopus 로고
    • Rahul Sampath and George Biros. A parallel geometric multigrid method for finite elements on octree meshes. Technical report, Georgia Institute of Technology, 2008. Submitted for publication.
    • Rahul Sampath and George Biros. A parallel geometric multigrid method for finite elements on octree meshes. Technical report, Georgia Institute of Technology, 2008. Submitted for publication.
  • 34
    • 56749103058 scopus 로고    scopus 로고
    • Low-constant parallel algorithms for finite element simulations using linear octrees
    • SC '07: Proceedings of the 2007 ACM/IEEE conference on Supercomputing, Reno, Nevada, ACM/IEEE
    • Hari Sundar, Rahul Sampath, Santi S. Adavani, Christos Davatzikos, and George Biros. Low-constant parallel algorithms for finite element simulations using linear octrees. In SC '07: Proceedings of the 2007 ACM/IEEE conference on Supercomputing, The SCxy Conference series in high performance networking and computing, Reno, Nevada, 2007. ACM/IEEE.
    • (2007) The SCxy Conference series in high performance networking and computing
    • Sundar, H.1    Sampath, R.2    Adavani, S.S.3    Davatzikos, C.4    Biros, G.5
  • 35
    • 55349088898 scopus 로고    scopus 로고
    • Bottom-up construction and 2:1 balance refinement of linear octrees in parallel
    • Hari Sundar, Rahul S. Sampath, and George Biros. Bottom-up construction and 2:1 balance refinement of linear octrees in parallel. SIAM Journal on Scientific Computing, 30(5):2675-2708, 2008.
    • (2008) SIAM Journal on Scientific Computing , vol.30 , Issue.5 , pp. 2675-2708
    • Sundar, H.1    Sampath, R.S.2    Biros, G.3
  • 39
    • 0035686562 scopus 로고    scopus 로고
    • Special bilinear quadrilateral elements for locally refined finite element grids
    • Weigang Wang. Special bilinear quadrilateral elements for locally refined finite element grids. SIAM Journal on Scientific Computing, 22:2029-2050, 2001.
    • (2001) SIAM Journal on Scientific Computing , vol.22 , pp. 2029-2050
    • Wang, W.1
  • 40
    • 32844470733 scopus 로고    scopus 로고
    • Bronis R. de Supinski, Brian Miller, Daniel Quinlan, and Martin Schulz. Improving the computational intensity of unstructured mesh applications
    • New York, NY, USA, ACM Press
    • Brian S. White, Sally A. McKee, Bronis R. de Supinski, Brian Miller, Daniel Quinlan, and Martin Schulz. Improving the computational intensity of unstructured mesh applications. In ICS '05: Proceedings of the 19th annual international conference on Supercomputing, pages 341-350, New York, NY, USA, 2005. ACM Press.
    • (2005) ICS '05: Proceedings of the 19th annual international conference on Supercomputing , pp. 341-350
    • White, B.S.1    McKee, S.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.