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Volumn 166, Issue 1, 2004, Pages 343-360

Tensor-product adaptive grids based on coordinate transformations

Author keywords

Adaptive grid refinement; Coordinate transformations; Finite differences; Method of lines; Moving grids

Indexed keywords

BOUNDARY LAYERS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; TENSORS;

EID: 1542425076     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2003.09.018     Document Type: Article
Times cited : (7)

References (27)
  • 1
    • 0001209272 scopus 로고    scopus 로고
    • Least squares and approximate equidistribution in multidimensions
    • Baines M.J. Least squares and approximate equidistribution in multidimensions Numer. Methods Partial Differential Equations 15 1999 605-615
    • (1999) Numer. Methods Partial Differential Equations , vol.15 , pp. 605-615
    • Baines, M.J.1
  • 2
    • 0001689357 scopus 로고    scopus 로고
    • On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution
    • Beckett G. Mackenzie J.A. Ramage A. Sloan D.M. On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution J. Comput. Phys. 167 2001 372-392
    • (2001) J. Comput. Phys. , vol.167 , pp. 372-392
    • Beckett, G.1    Mackenzie, J.A.2    Ramage, A.3    Sloan, D.M.4
  • 3
    • 0030245980 scopus 로고    scopus 로고
    • Algorithm 758: VLUGR2, A vectorizable adaptive grid solver for PDEs in 2D
    • Blom J.G. Trompert R.A. Verwer J.G. Algorithm 758: VLUGR2, A vectorizable adaptive grid solver for PDEs in 2D ACM Trans. Math. Software 22 1996 302-328
    • (1996) ACM Trans. Math. Software , vol.22 , pp. 302-328
    • Blom, J.G.1    Trompert, R.A.2    Verwer, J.G.3
  • 5
    • 0000286812 scopus 로고
    • Using Krylov methods in the solution of large-scale differential-algebraic systems
    • Brown P.N. Hindmarsh A.C. Petzold L.R. Using Krylov methods in the solution of large-scale differential-algebraic systems SIAM J. Sci. Comput. 15 1994 1467-1488
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 1467-1488
    • Brown, P.N.1    Hindmarsh, A.C.2    Petzold, L.R.3
  • 7
    • 84867808256 scopus 로고    scopus 로고
    • On the adaptive finite element solution of partial differential equations using h-r-refinement
    • University of Leeds, Leeds
    • P.C. Capon, P.K. Jimack, On the adaptive finite element solution of partial differential equations using h-r-refinement, School of Computer Studies Research Report, 96.13, University of Leeds, Leeds, 1996.
    • (1996) School of Computer Studies Research Report , vol.96 , Issue.13
    • Capon, P.C.1    Jimack, P.K.2
  • 8
    • 0022145329 scopus 로고
    • Grading functions and mesh redistribution
    • Carey G.F. Dinh H.T. Grading functions and mesh redistribution SIAM J. Numer. Anal. 22 1985 1028-1040
    • (1985) SIAM J. Numer. Anal. , vol.22 , pp. 1028-1040
    • Carey, G.F.1    Dinh, H.T.2
  • 9
    • 0000706319 scopus 로고    scopus 로고
    • Pattern formation in the one-dimensional Gray-Scott model
    • Doelman A. Kaper T.J. Zegeling P.A. Pattern formation in the one-dimensional Gray-Scott model Nonlinearity 10 1997 523-563
    • (1997) Nonlinearity , vol.10 , pp. 523-563
    • Doelman, A.1    Kaper, T.J.2    Zegeling, P.A.3
  • 11
    • 0035842844 scopus 로고    scopus 로고
    • Variational mesh adaptation: Isotropy and equidistribution
    • Huang W. Variational mesh adaptation: Isotropy and equidistribution J. Comput. Phys. 174 2001 903-924
    • (2001) J. Comput. Phys. , vol.174 , pp. 903-924
    • Huang, W.1
  • 12
    • 0000448909 scopus 로고    scopus 로고
    • Analysis of moving mesh partial differential equations with spatial smoothing
    • Huang W. Russell R.D. Analysis of moving mesh partial differential equations with spatial smoothing SIAM J. Numer. Anal. 34 1997 1106-1126
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 1106-1126
    • Huang, W.1    Russell, R.D.2
  • 15
    • 1542385930 scopus 로고    scopus 로고
    • A time-reversible, regularized, switching integrator for the N-body problem
    • Kvaerno A. Leimkuhler B. A time-reversible, regularized, switching integrator for the N-body problem SIAM J. Sci. Comput. 22 2000 1016-1035
    • (2000) SIAM J. Sci. Comput. , vol.22 , pp. 1016-1035
    • Kvaerno, A.1    Leimkuhler, B.2
  • 16
    • 0038517141 scopus 로고    scopus 로고
    • A two-dimensional moving finite element method with local refinement based on a posteriori error estimates
    • Lang J. Cao W. Huang W. Russell R.D. A two-dimensional moving finite element method with local refinement based on a posteriori error estimates Appl. Numer. Math. 46 2003 75-94
    • (2003) Appl. Numer. Math. , vol.46 , pp. 75-94
    • Lang, J.1    Cao, W.2    Huang, W.3    Russell, R.D.4
  • 17
    • 0032226419 scopus 로고    scopus 로고
    • An adaptive grid method and its application to steady Euler flow calculations
    • Liu F. Ji S. Liao G. An adaptive grid method and its application to steady Euler flow calculations SIAM J. Sci. Comput. 20 1998 811-825
    • (1998) SIAM J. Sci. Comput. , vol.20 , pp. 811-825
    • Liu, F.1    Ji, S.2    Liao, G.3
  • 18
    • 0001102631 scopus 로고
    • Complex patterns in a simple system
    • Pearson J.A. Complex patterns in a simple system Science 261 1993 189-192
    • (1993) Science , vol.261 , pp. 189-192
    • Pearson, J.A.1
  • 19
    • 0001681157 scopus 로고
    • Mesh selection for discrete solution of boundary problems in ordinary differential equations
    • Pereyra V. Sewell E.G. Mesh selection for discrete solution of boundary problems in ordinary differential equations Numer. Math. 23 1975 261-268
    • (1975) Numer. Math. , vol.23 , pp. 261-268
    • Pereyra, V.1    Sewell, E.G.2
  • 21
    • 0034774698 scopus 로고    scopus 로고
    • A moving mesh method for one-dimensional hyperbolic conservation laws
    • Stockie J.M. Mackenzie J.A. Russell R.D. A moving mesh method for one-dimensional hyperbolic conservation laws SIAM J. Sci. Comput. 22 2001 1791-1813
    • (2001) SIAM J. Sci. Comput. , vol.22 , pp. 1791-1813
    • Stockie, J.M.1    Mackenzie, J.A.2    Russell, R.D.3
  • 22
    • 1542491033 scopus 로고
    • Mémoire sur le Problème des Trois Corps
    • Sundman K.F. Mémoire sur le Problème des Trois Corps Acta Math. 36 1913 179
    • (1913) Acta Math. , vol.36 , pp. 179
    • Sundman, K.F.1
  • 23
    • 0027595504 scopus 로고
    • Evaluation of various high-order-accuracy schemes with and without flux limiters
    • Tamamadis P. Assanis D.N. Evaluation of various high-order-accuracy schemes with and without flux limiters Int. J. Numer. Methods Fluids 16 1993 931-948
    • (1993) Int. J. Numer. Methods Fluids , vol.16 , pp. 931-948
    • Tamamadis, P.1    Assanis, D.N.2
  • 24
    • 0000005482 scopus 로고
    • Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems
    • van der Vorst H.A. Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems SIAM J. Sci. Statist. Comput. 13 1992 631-644
    • (1992) SIAM J. Sci. Statist. Comput. , vol.13 , pp. 631-644
    • van der Vorst, H.A.1
  • 26
    • 1542595678 scopus 로고    scopus 로고
    • Adaptive MOL for magneto-hydrodynamic PDE models
    • A. Vande Wouwer, Ph . Saucez, & W.E. Schiesser (Eds.), London/Boca Raton: Chapman - Hall/CRC Press
    • Zegeling P.A. Keppens R. Adaptive MOL for magneto-hydrodynamic PDE models Vande Wouwer A. Saucez Ph. Schiesser W.E. Adaptive Method of Lines 2001 117-137 Chapman - Hall/CRC Press London/Boca Raton
    • (2001) Adaptive Method of Lines , pp. 117-137
    • Zegeling, P.A.1    Keppens, R.2
  • 27
    • 1542595676 scopus 로고    scopus 로고
    • Adaptive moving mesh computations for reaction-diffusion systems
    • to appear
    • P.A. Zegeling, H.P. Kok, Adaptive moving mesh computations for reaction-diffusion systems, J. Comput. Appl. Maths., 2003, to appear.
    • (2003) J. Comput. Appl. Maths.
    • Zegeling, P.A.1    Kok, H.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.