메뉴 건너뛰기




Volumn 2565, Issue , 2003, Pages 94-107

An a posteriori error estimator for adaptive mesh refinement using parallel in-element particle tracking methods

Author keywords

[No Author keywords available]

Indexed keywords

BENCHMARKING; ERROR ANALYSIS; ERRORS; NUMERICAL ANALYSIS;

EID: 21144444483     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-36569-9_7     Document Type: Article
Times cited : (1)

References (31)
  • 1
    • 33846349887 scopus 로고
    • A hierarchical O(N log N) force calculation algorithm
    • Dec.
    • J. Barnes and P. Hut. A hierarchical O(N log N) force calculation algorithm. Nature, 324:446, Dec. 1986.
    • (1986) Nature , vol.324 , pp. 446
    • Barnes, J.1    Hut, P.2
  • 2
    • 0030128246 scopus 로고    scopus 로고
    • A particle tracking technique for the Lagrangian-Eulerian finite-element method in multi-dimensions
    • H.-P. Cheng, J.-R. Cheng, and G. T. Yeh. A particle tracking technique for the Lagrangian-Eulerian finite-element method in multi-dimensions. International Journal for Numerical Methods in Engineering, 39:1115-1136, 1996.
    • (1996) International Journal for Numerical Methods in Engineering , vol.39 , pp. 1115-1136
    • Cheng, H.-P.1    Cheng, J.-R.2    Yeh, G.T.3
  • 3
    • 0030088238 scopus 로고    scopus 로고
    • A Lagrangian-Eulerian method with adaptively local zooming and peak/valley capturing approach to solve two-dimensional advection-diffusion transport equations
    • J.-R. Cheng, H.-P. Cheng, and G. T. Yeh. A Lagrangian-Eulerian method with adaptively local zooming and peak/valley capturing approach to solve two-dimensional advection-diffusion transport equations. International Journal for Numerical Methods in Engineering, 39:987-1016, 1996.
    • (1996) International Journal for Numerical Methods in Engineering , vol.39 , pp. 987-1016
    • Cheng, J.-R.1    Cheng, H.-P.2    Yeh, G.T.3
  • 6
    • 0004174607 scopus 로고
    • Technical Report TR-89-983, Computer Science Department, Cornell University
    • L. P. Chew. Guaranteed-quality triangular meshes. Technical Report TR-89-983, Computer Science Department, Cornell University, 1989.
    • (1989) Guaranteed-quality Triangular Meshes
    • Chew, L.P.1
  • 7
    • 1642474641 scopus 로고
    • Specification of five convection-diffusion benchmark problems
    • Massachusetts Institute of Technology, June
    • Convection-Diffusion Forum. Specification of five convection-diffusion benchmark problems. 7th International Conference on Computational Methods in Water Resources, Massachusetts Institute of Technology, June 1988.
    • (1988) 7th International Conference on Computational Methods in Water Resources
  • 11
    • 1642433593 scopus 로고    scopus 로고
    • Web page Mathematics and Computer Science Division, Argonne National Laboratory
    • Lori Freitag, Mark Jones, Carl Ollivier-Gooch, and Paul Plassmann. SUMAA3d Web page. http://www.mcs.anl.gov/sumaa3d/, Mathematics and Computer Science Division, Argonne National Laboratory, 1997.
    • (1997) SUMAA3d
    • Freitag, L.1    Jones, M.2    Ollivier-Gooch, C.3    Plassmann, P.4
  • 12
    • 0000999245 scopus 로고
    • Eno schemes with subcell resolution
    • A. Harten. Eno schemes with subcell resolution. Journal of Computational Physics, 83:148-184, 1989.
    • (1989) Journal of Computational Physics , vol.83 , pp. 148-184
    • Harten, A.1
  • 13
    • 0031099023 scopus 로고    scopus 로고
    • Adaptive refinement of unstructured finite-element meshes
    • March
    • Mark T. Jones and Paul E. Plassmann. Adaptive refinement of unstructured finite-element meshes. Finite Elements in Analysis and Design, 25(1-2):41-60, March 1997.
    • (1997) Finite Elements in Analysis and Design , vol.25 , Issue.1-2 , pp. 41-60
    • Jones, M.T.1    Plassmann, P.E.2
  • 14
    • 0035529763 scopus 로고    scopus 로고
    • The reliability of local error estimators for convection-diffusion equations
    • David Kay and David Silvester. The reliability of local error estimators for convection-diffusion equations. IMA Journal of Numerical Analysis, 21:107-122, 2001.
    • (2001) IMA Journal of Numerical Analysis , vol.21 , pp. 107-122
    • Kay, D.1    Silvester, D.2
  • 16
    • 33749251585 scopus 로고    scopus 로고
    • Technical Report UNC-CH TR00-007, Department of Computer Science, University of North Carolina
    • David K. McAllister. The design of an API for particle systems. Technical Report UNC-CH TR00-007, Department of Computer Science, University of North Carolina, 1999.
    • (1999) The Design of An API for Particle Systems
    • McAllister, D.K.1
  • 17
    • 0029228988 scopus 로고
    • Index translation schemes for adaptive computations on distributed memory multicomputers
    • Santa Barbara, California, April 24-28, IEEE Computer Society Press
    • Bongki Moon, Mustafa Uysal, and Joel Saltz. Index translation schemes for adaptive computations on distributed memory multicomputers. In Proceedings of the 9-th International Parallel Processing Symposium, pages 812-819, Santa Barbara, California, April 24-28, 1995. IEEE Computer Society Press.
    • (1995) Proceedings of the 9-th International Parallel Processing Symposium , pp. 812-819
    • Moon, B.1    Uysal, M.2    Saltz, J.3
  • 24
    • 0027206352 scopus 로고
    • A new and simple algorithm for quality 2-dimensional mesh generation
    • J. Ruppert. A new and simple algorithm for quality 2-dimensional mesh generation. In Proc. 4th ACM-SIAM Symp. on Disc. Algorithms, pages 83-92, 1993.
    • (1993) Proc. 4th ACM-SIAM Symp. on Disc. Algorithms , pp. 83-92
    • Ruppert, J.1
  • 26
    • 0034310682 scopus 로고    scopus 로고
    • A numerical study of a posteriori error estimators for convection-diffusion equations
    • John Volker. A numerical study of a posteriori error estimators for convection-diffusion equations. Computer Methods in Applied Mechanics and Engineering, 190:757-781, 2000.
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.190 , pp. 757-781
    • Volker, J.1
  • 28
    • 3543112430 scopus 로고
    • A data-parallel implementation of the DSMC method on the connection machine
    • Dec.
    • B. C. Wong and L. N. Long. A data-parallel implementation of the DSMC method on the connection machine. Computing Systems in Engineering Journal, 3(1-4), Dec. 1992.
    • (1992) Computing Systems in Engineering Journal , vol.3 , Issue.1-4
    • Wong, B.C.1    Long, L.N.2
  • 29
    • 40749083379 scopus 로고
    • Implicit total variation diminishing (TVD) schemes for steady-state calculations
    • H. C. Yee, R. F. Warming, and A. Harten. Implicit total variation diminishing (TVD) schemes for steady-state calculations. Journal of Computational Physics, 57:327-360, 1985.
    • (1985) Journal of Computational Physics , vol.57 , pp. 327-360
    • Yee, H.C.1    Warming, R.F.2    Harten, A.3
  • 30
    • 0029274661 scopus 로고
    • An adaptive local grid refinement based on the exact peak capturing and oscillation free scheme to solve transport equations
    • G. T. Yeh, J.-R. Cheng, H.-P. Cheng, and C. H. Sung. An adaptive local grid refinement based on the exact peak capturing and oscillation free scheme to solve transport equations. International Journal of Computational Fluids Dynamics, 24:293-332, 1995.
    • (1995) International Journal of Computational Fluids Dynamics , vol.24 , pp. 293-332
    • Yeh, G.T.1    Cheng, J.-R.2    Cheng, H.-P.3    Sung, C.H.4
  • 31
    • 0027062405 scopus 로고
    • An exact peak capturing and essentially oscillation-free scheme to solve advection-dispersion-reactive transport equations
    • G. T. Yeh, J.-R. Cheng, and T. E. Short. An exact peak capturing and essentially oscillation-free scheme to solve advection-dispersion-reactive transport equations. Water Resources Research, 28(11):2937-2951, 1992.
    • (1992) Water Resources Research , vol.28 , Issue.11 , pp. 2937-2951
    • Yeh, G.T.1    Cheng, J.-R.2    Short, T.E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.