메뉴 건너뛰기




Volumn 35, Issue 3, 2010, Pages 253-263

Solving the Poisson equation on small aspect ratio domains using unstructured meshes

Author keywords

Finite elements; Multigrid; Small aspect ratio; Unstructured meshes

Indexed keywords

ALGEBRAIC MULTIGRIDS; CONDITION NUMBERS; DIRICHLET BOUNDARY CONDITION; FINITE ELEMENT; FINITE ELEMENT DISCRETISATIONS; ILL-CONDITIONING; ITERATIVE SOLVERS; MATRIX; MULTI-GRID; MULTIGRID PRECONDITIONING; NUMERICAL TESTS; OCEAN MODEL; OCEAN MODELLING; POISSON PROBLEM; PRECONDITIONERS; SMALL ASPECT RATIO; TOP SURFACE; UNSTRUCTURED MESHES;

EID: 77956877337     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2010.08.001     Document Type: Article
Times cited : (16)

References (26)
  • 1
    • 0035973929 scopus 로고    scopus 로고
    • A convergence study of two ocean models applied to a density driven flow
    • Avlesen H., Berntsen J., Espelid T.O. A convergence study of two ocean models applied to a density driven flow. Int. J. Numer. Methods Fluids 2001, 36:639-657.
    • (2001) Int. J. Numer. Methods Fluids , vol.36 , pp. 639-657
    • Avlesen, H.1    Berntsen, J.2    Espelid, T.O.3
  • 2
    • 0002515487 scopus 로고    scopus 로고
    • Efficient management of parallelism in object oriented numerical software libraries
    • Birkhäuser Press, E. Arge, A.M. Bruaset, H.P. Langtangen (Eds.)
    • Balay S., Gropp W.D., McInnes L.C., Smith B.F. Efficient management of parallelism in object oriented numerical software libraries. Modern Software Tools in Scientific Computing 1997, 163-202. Birkhäuser Press. E. Arge, A.M. Bruaset, H.P. Langtangen (Eds.).
    • (1997) Modern Software Tools in Scientific Computing , pp. 163-202
    • Balay, S.1    Gropp, W.D.2    McInnes, L.C.3    Smith, B.F.4
  • 3
    • 0004675411 scopus 로고    scopus 로고
    • A sparse approximate inverse preconditioner for the conjugate gradient method
    • Benzi M., Meyer C.D., Tuma M. A sparse approximate inverse preconditioner for the conjugate gradient method. SIAM J. Sci. Comput. 1996, 17(5):1135-1149.
    • (1996) SIAM J. Sci. Comput. , vol.17 , Issue.5 , pp. 1135-1149
    • Benzi, M.1    Meyer, C.D.2    Tuma, M.3
  • 4
    • 17444403192 scopus 로고    scopus 로고
    • On the finite element solution of the pure Neumann problem
    • Bochev P., Lehoucq R.B. On the finite element solution of the pure Neumann problem. SIAM Rev. 2005, 47(1):50-66.
    • (2005) SIAM Rev. , vol.47 , Issue.1 , pp. 50-66
    • Bochev, P.1    Lehoucq, R.B.2
  • 6
    • 0000280195 scopus 로고
    • The numerical solution of the Navier-Stokes equations for an incompressible fluid
    • Chorin A.J. The numerical solution of the Navier-Stokes equations for an incompressible fluid. Bull. Am. Math. Soc. 1967, 73(6):928-931.
    • (1967) Bull. Am. Math. Soc. , vol.73 , Issue.6 , pp. 928-931
    • Chorin, A.J.1
  • 7
    • 56949088800 scopus 로고    scopus 로고
    • A mixed discontinuous/continuous finite element pair for shallow-water ocean modelling
    • Cotter C.J., Ham D.A., Pain C.C. A mixed discontinuous/continuous finite element pair for shallow-water ocean modelling. Ocean Modell. 2009, 26:86-90.
    • (2009) Ocean Modell. , vol.26 , pp. 86-90
    • Cotter, C.J.1    Ham, D.A.2    Pain, C.C.3
  • 8
    • 56549093398 scopus 로고    scopus 로고
    • LBB stability of a mixed finite element pair for fluid flow simulations
    • Cotter C.J., Ham D.A., Pain C.C., Reich S. LBB stability of a mixed finite element pair for fluid flow simulations. J. Comput. Phys. 2009, 228(3):336-348.
    • (2009) J. Comput. Phys. , vol.228 , Issue.3 , pp. 336-348
    • Cotter, C.J.1    Ham, D.A.2    Pain, C.C.3    Reich, S.4
  • 10
    • 33746091698 scopus 로고    scopus 로고
    • An unstructured-grid, finite-volume, nonhydrostatic, parallel coastal-ocean simulator
    • Fringer O.B., Gerritsen M., Street R.L. An unstructured-grid, finite-volume, nonhydrostatic, parallel coastal-ocean simulator. Ocean Modell. 2006, 14(3-4):139-278.
    • (2006) Ocean Modell. , vol.14 , Issue.3-4 , pp. 139-278
    • Fringer, O.B.1    Gerritsen, M.2    Street, R.L.3
  • 11
    • 34548837833 scopus 로고    scopus 로고
    • Incompressible Flow and the Finite Element Method
    • Wiley
    • Gresho P.M., Sani R.L. Incompressible Flow and the Finite Element Method. Isothermal Laminar Flow 2000, vol. 2. Wiley.
    • (2000) Isothermal Laminar Flow , vol.2
    • Gresho, P.M.1    Sani, R.L.2
  • 12
    • 0000135303 scopus 로고
    • Methods of conjugate gradients for solving linear systems
    • Hestenes M.R., Stiefel E. Methods of conjugate gradients for solving linear systems. J. Res. Natl. Bur. Stand. 1952, 49(6).
    • (1952) J. Res. Natl. Bur. Stand. , vol.49 , Issue.6
    • Hestenes, M.R.1    Stiefel, E.2
  • 14
    • 14744286095 scopus 로고    scopus 로고
    • A fully three dimensional unstructured grid non-hydrostatic finite element coastal model. In: The Second International Workshop on Unstructured Mesh Numerical Modelling of Coastal, Shelf and Ocean Flows. Ocean Modell
    • Labeur, R.J., Pietrzak, J.D., 2005. A fully three dimensional unstructured grid non-hydrostatic finite element coastal model. In: The Second International Workshop on Unstructured Mesh Numerical Modelling of Coastal, Shelf and Ocean Flows. Ocean Modell. 10 (1-2), 51-67.
    • (2005) , vol.10 , Issue.1-2 , pp. 51-67
    • Labeur, R.J.1    Pietrzak, J.D.2
  • 15
    • 0030762883 scopus 로고    scopus 로고
    • A finite-volume, incompressible Navier-Stokes model for studies of the ocean on parallel computers
    • Marshall J., Adcroft A., Hill C., Perelman L., Heisey C. A finite-volume, incompressible Navier-Stokes model for studies of the ocean on parallel computers. J. Geophys. Res. 1997, 102:5753-5766.
    • (1997) J. Geophys. Res. , vol.102 , pp. 5753-5766
    • Marshall, J.1    Adcroft, A.2    Hill, C.3    Perelman, L.4    Heisey, C.5
  • 16
    • 48149106679 scopus 로고    scopus 로고
    • A non-hydrostatic ocean model with a scalable multigrid Poisson solver
    • Matsumura Y., Hasumi H. A non-hydrostatic ocean model with a scalable multigrid Poisson solver. Ocean Modell. 2008, 24:15-28.
    • (2008) Ocean Modell. , vol.24 , pp. 15-28
    • Matsumura, Y.1    Hasumi, H.2
  • 20
    • 0000954680 scopus 로고
    • A flexible inner-outer preconditioned GMRES algorithm
    • Saad Y. A flexible inner-outer preconditioned GMRES algorithm. SIAM J. Sci. Comput. 1993, 14(2):461-469.
    • (1993) SIAM J. Sci. Comput. , vol.14 , Issue.2 , pp. 461-469
    • Saad, Y.1
  • 21
    • 14544301443 scopus 로고    scopus 로고
    • The regional ocean modeling system (ROMS): a split-explicit, free-surface, topography-following coordinates ocean model
    • Shchepetkin A.F., McWilliams J. The regional ocean modeling system (ROMS): a split-explicit, free-surface, topography-following coordinates ocean model. Ocean Modell. 2005, 9:347-404.
    • (2005) Ocean Modell. , vol.9 , pp. 347-404
    • Shchepetkin, A.F.1    McWilliams, J.2
  • 22
    • 77956884548 scopus 로고
    • An Introduction to the Conjugate Gradient Method Without the Agonizing Pain
    • Shewchuk, J.R., 1994. An Introduction to the Conjugate Gradient Method Without the Agonizing Pain. http://www.cs.cmu.edu/~quake-papers/painless-conjugate-gradient.pdf.
    • (1994)
    • Shewchuk, J.R.1
  • 23
    • 0035282142 scopus 로고    scopus 로고
    • A review of algebraic multigrid
    • Stüben K. A review of algebraic multigrid. J. Comput. Appl. Math. 2001, 128:281.
    • (2001) J. Comput. Appl. Math. , vol.128 , pp. 281
    • Stüben, K.1
  • 24
    • 0041765520 scopus 로고
    • Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires (ii)
    • Temam R. Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires (ii). Arch. Ration. Mech. Anal. 1969, 33:377-385.
    • (1969) Arch. Ration. Mech. Anal. , vol.33 , pp. 377-385
    • Temam, R.1
  • 26
    • 0030388574 scopus 로고    scopus 로고
    • Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
    • Vanek P., Mandel J., Brezina M. Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems. Computing 1996, 56:179-196.
    • (1996) Computing , vol.56 , pp. 179-196
    • Vanek, P.1    Mandel, J.2    Brezina, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.