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Volumn 47, Issue 2, 1997, Pages 139-152

Adaptive local refinement with octree load balancing for the parallel solution of three-dimensional conservation laws

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EID: 0031574568     PISSN: 07437315     EISSN: None     Source Type: Journal    
DOI: 10.1006/jpdc.1997.1412     Document Type: Article
Times cited : (139)

References (44)
  • 1
    • 0001780598 scopus 로고
    • High-order adaptive methods for parabolic systems
    • Adjerid S., Flaherty J. E., Moore P., Wang Y. High-order adaptive methods for parabolic systems. Phys.-D. 60:1992;94-111.
    • (1992) Phys.-D , vol.60 , pp. 94-111
    • Adjerid, S.1    Flaherty, J.E.2    Moore, P.3    Wang, Y.4
  • 3
    • 0023427316 scopus 로고
    • On conservation at grid interfaces
    • Berger M. J. On conservation at grid interfaces. SIAM J. Numer. Anal. 24:1987;967-984.
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 967-984
    • Berger, M.J.1
  • 4
    • 0023346636 scopus 로고
    • A partitioning strategy for nonuniform problems on multiprocessors
    • Berger M. J., Bokhari S. H. A partitioning strategy for nonuniform problems on multiprocessors. IEEE Trans. Comput. 36:1987;570-580.
    • (1987) IEEE Trans. Comput. , vol.36 , pp. 570-580
    • Berger, M.J.1    Bokhari, S.H.2
  • 5
    • 48749141209 scopus 로고
    • Adaptive mesh refinement for hyperbolic partial differential equations
    • Berger M. J., Oliger J. Adaptive mesh refinement for hyperbolic partial differential equations. J. Comput. Phys. 53:1984;484-512.
    • (1984) J. Comput. Phys. , vol.53 , pp. 484-512
    • Berger, M.J.1    Oliger, J.2
  • 8
    • 0028407037 scopus 로고
    • Parallel, adaptive finite element methods for conservation laws
    • Biswas R., Devine K. D., Flaherty J. E. Parallel, adaptive finite element methods for conservation laws. Appl. Numer. Math. 14:1994;255-283.
    • (1994) Appl. Numer. Math. , vol.14 , pp. 255-283
    • Biswas, R.1    Devine, K.D.2    Flaherty, J.E.3
  • 11
    • 0002154319 scopus 로고    scopus 로고
    • Error estimates for finite element methods for scalar conservation laws
    • Cockburn B., Gremaud P.-A. Error estimates for finite element methods for scalar conservation laws. SIAM J. Numer. Anal. 33:1996;522-554.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 522-554
    • Cockburn, B.1    Gremaud, P.-A.2
  • 12
    • 45249130080 scopus 로고
    • TVB Runge-Kutta local pro jection discontinuous Galerkin finite element method for conservation laws III: One-dimensional systems
    • Cockburn B., Lin S.-Y., Shu C.-W. TVB Runge-Kutta local pro jection discontinuous Galerkin finite element method for conservation laws III: One-dimensional systems. J. Comput. Phys. 84:1989;90-113.
    • (1989) J. Comput. Phys. , vol.84 , pp. 90-113
    • Cockburn, B.1    Lin, S.-Y.2    Shu, C.-W.3
  • 13
    • 84966246413 scopus 로고
    • TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework
    • Cockburn B., Shu C.-W. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework. Math. Comp. 52:1989;411-435.
    • (1989) Math. Comp. , vol.52 , pp. 411-435
    • Cockburn, B.1    Shu, C.-W.2
  • 14
    • 0024748907 scopus 로고
    • Dynamic load balancing for distributed memory multiprocessors
    • Cybenko G. Dynamic load balancing for distributed memory multiprocessors. J. Parallel Distrib. Comput. 7:1989;279-301.
    • (1989) J. Parallel Distrib. Comput. , vol.7 , pp. 279-301
    • Cybenko, G.1
  • 17
    • 0001655578 scopus 로고
    • Parallel partitioning strategies for the adaptive solution of conservation laws
    • I. Babuska, J.E. Flaherty, W.D. Henshaw, J.E. Hopcroft, J.E. Oliger, & T. Tezduyar. Berlin/Heidelberg: Springer-Verlag
    • Devine K. D., Flaherty J. E., Loy R., Wheat S. Parallel partitioning strategies for the adaptive solution of conservation laws. Babuska I., Flaherty J. E., Henshaw W. D., Hopcroft J. E., Oliger J. E., Tezduyar T. Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations. 1995;215-242 Springer-Verlag, Berlin/Heidelberg.
    • (1995) Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations , pp. 215-242
    • Devine, K.D.1    Flaherty, J.E.2    Loy, R.3    Wheat, S.4
  • 18
    • 0010809214 scopus 로고
    • A parametric study of perforated muzzle brakes
    • ARLCB-TR-84015
    • Dillon R. E. Jr. A parametric study of perforated muzzle brakes. ARDC Technical Report. ARLCB-TR-84015:1984.
    • (1984) ARDC Technical Report
    • Dillon R.E., Jr.1
  • 19
    • 0027556252 scopus 로고
    • Automatic partitioning of unstructured meshes for the parallel solution of problems in computational mechanics
    • Farhat C., Lesoinne M. Automatic partitioning of unstructured meshes for the parallel solution of problems in computational mechanics. Internat. J. Numer. Methods Engrg. 36:1993;745-764.
    • (1993) Internat. J. Numer. Methods Engrg. , vol.36 , pp. 745-764
    • Farhat, C.1    Lesoinne, M.2
  • 20
    • 0028976463 scopus 로고
    • Mesh partitioning for implicit computations via iterative domain decomposition: Impact and optimization of the subdomain aspect ratio
    • Farhat C., Maman N., Brown G. W. Mesh partitioning for implicit computations via iterative domain decomposition: impact and optimization of the subdomain aspect ratio. Internat. J. Numer. Method Engrg. 38:1995;989-1000.
    • (1995) Internat. J. Numer. Method Engrg. , vol.38 , pp. 989-1000
    • Farhat, C.1    Maman, N.2    Brown, G.W.3
  • 23
  • 24
    • 0003559997 scopus 로고
    • Multidimensional spectral load balancing
    • SAND93-0074
    • Hendrickson B., Leland R. Multidimensional spectral load balancing. Technical Report. SAND93-0074:1993.
    • (1993) Technical Report
    • Hendrickson, B.1    Leland, R.2
  • 25
    • 0010809216 scopus 로고
    • An efficient communication strategy for finite element methods on the Connection Machine CM-5 system
    • Johan Z., Mathur K., Johnsson S. L. An efficient communication strategy for finite element methods on the Connection Machine CM-5 system. Technical Report. 256:1993.
    • (1993) Technical Report , vol.256
    • Johan, Z.1    Mathur, K.2    Johnsson, S.L.3
  • 26
    • 0026906114 scopus 로고
    • Temporal adaptive Euler/Navier-Stokes algorithm involving unstructured dynamic meshes
    • Kleb W. L., Batina J. T. Temporal adaptive Euler/Navier-Stokes algorithm involving unstructured dynamic meshes. Am. Inst. Aeronautics and Astronautics J. 30:1992;1980-1985.
    • (1992) Am. Inst. Aeronautics and Astronautics J. , vol.30 , pp. 1980-1985
    • Kleb, W.L.1    Batina, J.T.2
  • 27
    • 0010804765 scopus 로고
    • Distributed load balancing: Design and performance analysis
    • Leiss E., Reddy H. Distributed load balancing: design and performance analysis. W. M. Kuck Res. Comput. Lab. 5:1989;205-270.
    • (1989) W. M. Kuck Res. Comput. Lab. , vol.5 , pp. 205-270
    • Leiss, E.1    Reddy, H.2
  • 30
    • 0010806658 scopus 로고
    • An experimental and numerical study of the flow through a vent hole in a perforated muzzle brake
    • ARCCB-TR-87016
    • Nagamatsu H. T., Choi K. Y., Duffy R. E., Carofano G. C. An experimental and numerical study of the flow through a vent hole in a perforated muzzle brake. ARDEC Technical Report. ARCCB-TR-87016:1987.
    • (1987) ARDEC Technical Report
    • Nagamatsu, H.T.1    Choi, K.Y.2    Duffy, R.E.3    Carofano, G.C.4
  • 32
    • 0000812783 scopus 로고
    • Partitioning sparse matrices with eigenvectors of graphs
    • Pothen A., Simon H., Liou K.-P. Partitioning sparse matrices with eigenvectors of graphs. SIAM J. Mat. Anal. Appl. 11:1990;430-452.
    • (1990) SIAM J. Mat. Anal. Appl. , vol.11 , pp. 430-452
    • Pothen, A.1    Simon, H.2    Liou, K.-P.3
  • 33
    • 84947781756 scopus 로고
    • Approaches to the automatic generation and control of finite element meshes
    • Shephard M. S. Approaches to the automatic generation and control of finite element meshes. Appl. Mech. Rev. 41:1988;169-185.
    • (1988) Appl. Mech. Rev. , vol.41 , pp. 169-185
    • Shephard, M.S.1
  • 34
    • 0030257912 scopus 로고    scopus 로고
    • Update to: Approaches to the automatic generation and control of finite element meshes
    • Shephard M. S. Update to: Approaches to the automatic generation and control of finite element meshes. Appl. Mech. Rev. 49:1996;S5-S14.
    • (1996) Appl. Mech. Rev. , vol.49 , pp. 5-S14
    • Shephard, M.S.1
  • 36
    • 0026220618 scopus 로고
    • Automatic three-dimensional mesh generation by the Finite Octree technique
    • Shephard M. S., Georges M. K. Automatic three-dimensional mesh generation by the Finite Octree technique. Internat. J. Numer. Methods Engrg. 32:1991;709-749.
    • (1991) Internat. J. Numer. Methods Engrg. , vol.32 , pp. 709-749
    • Shephard, M.S.1    Georges, M.K.2
  • 37
    • 0010809711 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
    • Shu C.-W., Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes, II. J. Comput. Phys. 27:1978;1-31.
    • (1978) J. Comput. Phys. , vol.27 , pp. 1-31
    • Shu, C.-W.1    Osher, S.2
  • 38
    • 44949282112 scopus 로고
    • Partitioning of unstructured problems for parallel processing
    • Simon H. D. Partitioning of unstructured problems for parallel processing. Comput. Systems Engrg. 2:1991;135-148.
    • (1991) Comput. Systems Engrg. , vol.2 , pp. 135-148
    • Simon, H.D.1
  • 39
    • 0010935991 scopus 로고    scopus 로고
    • A distributed octree and neighbor-finding algorithms for parallel mesh generation
    • 23-1996
    • Simone M. L., Shephard M. S., Flaherty J. E., Loy R. M. A distributed octree and neighbor-finding algorithms for parallel mesh generation. Technical Report. 23-1996:1996.
    • (1996) Technical Report
    • Simone, M.L.1    Shephard, M.S.2    Flaherty, J.E.3    Loy, R.M.4
  • 40
    • 0021513424 scopus 로고
    • High resolution schemes using flux limiters for hyperbolic conservation laws
    • Sweby P. K. High resolution schemes using flux limiters for hyperbolic conservation laws. SIAM J. Numer. Anal. 21:1984;995-1011.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 995-1011
    • Sweby, P.K.1
  • 41
    • 49449129017 scopus 로고
    • Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection
    • Van Leer B. Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection. J. Comput. Phys. 23:1977;276-299.
    • (1977) J. Comput. Phys. , vol.23 , pp. 276-299
    • Van Leer, B.1
  • 42
    • 0003321934 scopus 로고
    • Flux vector splitting for the Euler equations
    • Van Leer B. Flux vector splitting for the Euler equations. ICASE Report. 82-30:1982.
    • (1982) ICASE Report , vol.8230
    • Van Leer, B.1
  • 44
    • 0028131049 scopus 로고
    • Experience with automatic, dynamic load balancing and adaptive finite element computation
    • H. El-RewiniB. Shriver, 472, Kihei
    • S. Wheat, K. Devine, A. MacCabe, 1994, Experience with automatic, dynamic load balancing and adaptive finite element computation, Proc. 27th Hawaii International Conference on System Sciences, H. El-RewiniB. Shriver, 463, 472, Kihei.
    • (1994) Proc. 27th Hawaii International Conference on System Sciences , pp. 463
    • Wheat, S.1    Devine, K.2    MacCabe, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.