메뉴 건너뛰기




Volumn 27, Issue 4, 2004, Pages 311-322

Single collocation point methods for the advection-diffusion equation

Author keywords

Collocation; Domain decomposition method (DDM); Eulerian Lagrangian LAM (ELLAM); Localized adjoint method (LAM); Trefftz Herrera method

Indexed keywords

ALGORITHMS; DIFFUSION IN LIQUIDS; HYDROLOGY; TRANSPORT PROPERTIES;

EID: 1842687484     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2004.02.003     Document Type: Article
Times cited : (9)

References (29)
  • 1
    • 84985337150 scopus 로고
    • Generalized alternating-direction collocation methods for parabolic equations. I. Spatially varying coefficients
    • Celia M.A. Pinder G.F. Generalized alternating-direction collocation methods for parabolic equations. I. Spatially varying coefficients Numer. Meth. Partial Differen. Equat. 6 3 1990 193-214
    • (1990) Numer. Meth. Partial Differen. Equat. , vol.6 , Issue.3 , pp. 193-214
    • Celia, M.A.1    Pinder, G.F.2
  • 2
    • 84985359611 scopus 로고
    • Generalized alternating-direction collocation methods for parabolic equations. II. Transport equations with application with application to seawater intrusion problems
    • Celia M.A. Pinder G.F. Generalized alternating-direction collocation methods for parabolic equations. II. Transport equations with application with application to seawater intrusion problems Numer. Meth. Partial Differen. Equat. 6 3 1990 215-230
    • (1990) Numer. Meth. Partial Differen. Equat. , vol.6 , Issue.3 , pp. 215-230
    • Celia, M.A.1    Pinder, G.F.2
  • 3
    • 84985315751 scopus 로고
    • Generalized alternating-direction collocation methods for parabolic equations. III. Nonrectangular domains
    • Celia M.A. Pinder G.F. Generalized alternating-direction collocation methods for parabolic equations. III. Nonrectangular domains Numer. Meth. Partial Differen. Equat. 6 3 1990 231-243
    • (1990) Numer. Meth. Partial Differen. Equat. , vol.6 , Issue.3 , pp. 231-243
    • Celia, M.A.1    Pinder, G.F.2
  • 4
    • 0037407715 scopus 로고    scopus 로고
    • A nonconventional Eulerian-Lagragian single-node collocation method with Hermite polynomials for unsteady-state advection-diffusion equations
    • Wu L. Wang H. Pinder G. A nonconventional Eulerian-Lagragian single-node collocation method with Hermite polynomials for unsteady-state advection-diffusion equations Numer. Meth. Partial Differen. Equat. 19 3 2003 271-283
    • (2003) Numer. Meth. Partial Differen. Equat. , vol.19 , Issue.3 , pp. 271-283
    • Wu, L.1    Wang, H.2    Pinder, G.3
  • 5
    • 0001622482 scopus 로고
    • A collocation method for boundary value problems
    • Russell R.D. Shampine L.G. A collocation method for boundary value problems Numer. Meth. 19 1972 1-28
    • (1972) Numer. Meth. , vol.19 , pp. 1-28
    • Russell, R.D.1    Shampine, L.G.2
  • 6
    • 0000319158 scopus 로고
    • Collocation at Gaussian points
    • de Boor C. Swartz B. Collocation at Gaussian points SIAM J. Numer. Anal. 10 4 1973 582-606
    • (1973) SIAM J. Numer. Anal. , vol.10 , Issue.4 , pp. 582-606
    • de Boor, C.1    Swartz, B.2
  • 7
    • 0016509377 scopus 로고
    • Orthogonal collocation on finite elements
    • Carey G.F. Finlayson B.A. Orthogonal collocation on finite elements Chem. Engrg. Sci. 30 1975 587-596
    • (1975) Chem. Engrg. Sci. , vol.30 , pp. 587-596
    • Carey, G.F.1    Finlayson, B.A.2
  • 8
    • 0035281751 scopus 로고    scopus 로고
    • Orthogonal spline collocation methods for partial differential equations
    • Bialecki B. Fairweather G. Orthogonal spline collocation methods for partial differential equations J. Comput. Appl. Math. 128 2001 55-82
    • (2001) J. Comput. Appl. Math. , vol.128 , pp. 55-82
    • Bialecki, B.1    Fairweather, G.2
  • 10
    • 0000239051 scopus 로고    scopus 로고
    • Indirect methods of collocation: Trefftz-Herrera collocation
    • Herrera I. D́az M. Indirect methods of collocation: Trefftz-Herrera collocation Numer. Meth. Partial Differen. Equat. 15 6 1999 709-738
    • (1999) Numer. Meth. Partial Differen. Equat. , vol.15 , Issue.6 , pp. 709-738
    • Herrera, I.1    D́az, M.2
  • 13
    • 0842327215 scopus 로고    scopus 로고
    • Unified theory of domain decomposition methods
    • Herrera I, Keyes DE, Widlund OB, Yates R, editors
    • Herrera I. Unified theory of domain decomposition methods. In: Herrera I, Keyes DE, Widlund OB, Yates R, editors. 14th International Conference on Domain Decomposition Methods, 2003. p. 243-8
    • (2003) 14th International Conference on Domain Decomposition Methods , pp. 243-248
    • Herrera, I.1
  • 14
    • 0035448786 scopus 로고    scopus 로고
    • General theory of domain decomposition: Beyond Schwarz methods
    • Herrera I. Yates R. General theory of domain decomposition: Beyond Schwarz methods Numer. Meth. Partial Differen. Equat. 17 5 2001 495-517
    • (2001) Numer. Meth. Partial Differen. Equat. , vol.17 , Issue.5 , pp. 495-517
    • Herrera, I.1    Yates, R.2
  • 15
    • 1842699060 scopus 로고    scopus 로고
    • Domain decomposition in the mainstream of computational science
    • Herrera I, Keyes DE, Widlund OB, Yates R, editors. invited plenary lecture
    • Keyes D. Domain decomposition in the mainstream of computational science. In: Herrera I, Keyes DE, Widlund OB, Yates R, editors. 14th International Conference on Domain Decomposition Methods, 2003. p. 79-94 [invited plenary lecture]
    • (2003) 14th International Conference on Domain Decomposition Methods , pp. 79-94
    • Keyes, D.1
  • 18
    • 0001459903 scopus 로고
    • Unified approach to numerical methods. Part 1. Green's formulas for operators in discontinuous fields
    • Herrera I. Unified approach to numerical methods. Part 1. Green's formulas for operators in discontinuous fields Numer. Meth. Partial Differen. Equat. 1 1 1985 12-37
    • (1985) Numer. Meth. Partial Differen. Equat. , vol.1 , Issue.1 , pp. 12-37
    • Herrera, I.1
  • 19
    • 84985405393 scopus 로고
    • Unified approach to numerical methods. Part 3. Finite differences and ordinary differential equations
    • Herrera I. Chargoy L. Alduncin G. Unified approach to numerical methods. Part 3. Finite differences and ordinary differential equations Numer. Meth. Partial Differen. Equat. 1 4 1985 241-258
    • (1985) Numer. Meth. Partial Differen. Equat. , vol.1 , Issue.4 , pp. 241-258
    • Herrera, I.1    Chargoy, L.2    Alduncin, G.3
  • 21
    • 1842749415 scopus 로고    scopus 로고
    • The indirect approach to domain decomposition
    • Herrera I, Keyes DE, Widlund OB, Yates R, editors. plenary lecture
    • Herrera I. The indirect approach to domain decomposition. In: Herrera I, Keyes DE, Widlund OB, Yates R, editors. 14th International Conference on Domain Decomposition Methods, 2003. p. 51-62 [plenary lecture]
    • (2003) 14th International Conference on Domain Decomposition Methods , pp. 51-62
    • Herrera, I.1
  • 24
    • 0000485224 scopus 로고
    • Innovative discretization methodologies based on LAM
    • K. Morgan (Ed.), Swansea: Pineridge Press
    • Herrera I. Innovative discretization methodologies based on LAM Morgan K.et al. Finite elements in fluids: New trends and applications vol. 2 1993 1437-1447 Pineridge Press Swansea
    • (1993) Finite Elements in Fluids: New Trends and Applications , vol.2 , pp. 1437-1447
    • Herrera, I.1
  • 26
    • 0002850644 scopus 로고
    • Localized adjoint methods: A new discretization methodology
    • W. E. Fitzgibbon, & M. F. Wheeler (Eds.), Philadelphia: SIAM, chapter 6
    • Herrera I. Localized adjoint methods: A new discretization methodology Fitzgibbon W.E. Wheeler M.F. Computational methods in geosciences 1992 66-77 SIAM Philadelphia [chapter 6]
    • (1992) Computational Methods in Geosciences , pp. 66-77
    • Herrera, I.1
  • 27
    • 0000204303 scopus 로고    scopus 로고
    • T-elements: State of the art and future trends
    • Jirousek J. Wroblewski A. T-elements: State of the art and future trends Arch. Comput. Meth. Engrg. 3 4 1996 323-434
    • (1996) Arch. Comput. Meth. Engrg. , vol.3 , Issue.4 , pp. 323-434
    • Jirousek, J.1    Wroblewski, A.2
  • 28
    • 0012029138 scopus 로고
    • Solution of flow and transport problems by a combination of collocation and domain decomposition procedures
    • A. Peters (Ed.), Dordrecht: Kluwer Academic Publishers, Computational methods in water resources X
    • Guarnaccia J. Herrera I. Pinder G.F. Solution of flow and transport problems by a combination of collocation and domain decomposition procedures Peters A.et al. International Conference on Computational Methods in Water Resources, Heidelberg Computational methods in water resources X vol. 1 1994 265-272 Kluwer Academic Publishers Dordrecht
    • (1994) International Conference on Computational Methods in Water Resources, Heidelberg , vol.1 , pp. 265-272
    • Guarnaccia, J.1    Herrera, I.2    Pinder, G.F.3
  • 29
    • 0346186764 scopus 로고
    • Domain decomposition method for collocation procedures
    • A. Peters (Ed.), Dordrecht: Kluwer Academic Publishers, Computational methods in water resources X, invited talk
    • Herrera I. Guarnaccia J. Pinder G.F. Domain decomposition method for collocation procedures Peters A.et al. International Conference on Computational Methods in Water Resources, Heidelberg Computational methods in water resources X vol. 1 1994 273-280 Kluwer Academic Publishers Dordrecht [invited talk]
    • (1994) International Conference on Computational Methods in Water Resources, Heidelberg , vol.1 , pp. 273-280
    • Herrera, I.1    Guarnaccia, J.2    Pinder, G.F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.