메뉴 건너뛰기




Volumn 12, Issue 4, 1992, Pages 545-564

On steady and large time solutions of the semi-discrete moving finite element equations for one-dimensional diffusion problems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 21144470716     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/12.4.545     Document Type: Article
Times cited : (10)

References (28)
  • 1
    • 84966238161 scopus 로고
    • Unicity of best mean approximation by second order splines with variable knots
    • Barrow, D. L., Chui, C. K., Smith, P. W., Ward, J. D. 1978 Unicity of best mean approximation by second order splines with variable knots. Math. Comp., 32, 1131-1143.
    • (1978) Math. Comp. , vol.32 , pp. 1131-1143
    • Barrow, D.L.1    Chui, C.K.2    Smith, P.W.3    Ward, J.D.4
  • 2
    • 1542427970 scopus 로고
    • Locally Adaptive Moving Finite Elements
    • (eds. K. W. Morton & M. J. Baines), Oxford University Press
    • Baines, M. J. 1985 Locally Adaptive Moving Finite Elements. Numerical Methods for Fluid Dynamics II (eds. K. W. Morton & M. J. Baines), Oxford University Press.
    • (1985) Numerical Methods for Fluid Dynamics II
    • Baines, M.J.1
  • 3
    • 0022883613 scopus 로고
    • Moving finite modelling of compressible flow
    • Baines, M. J., Wathen, A. J. 1986 Moving finite modelling of compressible flow. Applied Num. Maths., 2, 495-514.
    • (1986) Applied Num. Maths. , vol.2 , pp. 495-514
    • Baines, M.J.1    Wathen, A.J.2
  • 4
    • 38249027385 scopus 로고
    • Moving finite element methods for evolutionary problems
    • Baines, M. J., Wathen, A. J. 1988 Moving finite element methods for evolutionary problems. I. Theory. J. Of Comp. Phys., 79, 245-269.
    • (1988) I. Theory. J. Of Comp. Phys , vol.79 , pp. 245-269
    • Baines, M.J.1    Wathen, A.J.2
  • 5
    • 84966257624 scopus 로고
    • On the Uniqueness of Best L2[0, 1] Approximation by piecewise polynomials with variable breakpoints
    • 2[0, 1] Approximation by piecewise polynomials with variable breakpoints. Math. Comp. 39, 571-585.
    • (1982) Math. Comp , vol.39 , pp. 571-585
    • Chow, J.1
  • 6
    • 0042946955 scopus 로고
    • Approximation of the diffusion term in the method of moving finite elements
    • Unpublished
    • Donnelly, J. D. P. 1990 Approximation of the diffusion term in the method of moving finite elements. Oxford University Computing Laboratory Report 90/9. Unpublished.
    • (1990) Oxford University Computing Laboratory Report 90/9
    • Donnelly, J.D.P.1
  • 7
    • 0002111330 scopus 로고
    • Mesh modification for evolution equations
    • Dupont, T. 1982 Mesh modification for evolution equations. Math. Comp. 39, 85-107.
    • (1982) Math. Comp , vol.39 , pp. 85-107
    • Dupont, T.1
  • 8
    • 0000323650 scopus 로고
    • The moving finite element method: Application to general partial differential equations with multiple large gradients
    • Gelinas, R. J., Doss, S. K., Miller, K. 1981 The moving finite element method: application to general partial differential equations with multiple large gradients. J. Of Comp. Phys. 40, 202-249.
    • (1981) J. Of Comp. Phys , vol.40 , pp. 202-249
    • Gelinas, R.J.1    Doss, S.K.2    Miller, K.3
  • 9
    • 48749145227 scopus 로고
    • Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
    • Harten, A., Hyman, J. M. 1983 Self-adjusting grid methods for one-dimensional hyperbolic conservation laws. J. Of Comp. Phys. 50, 235-269.
    • (1983) J. Of Comp. Phys , vol.50 , pp. 235-269
    • Harten, A.1    Hyman, J.M.2
  • 11
    • 0026205116 scopus 로고
    • Temporal derivatives in the finite element method on continuously deforming grids
    • Jimack, P. K., Wathen, A. J. 1991 Temporal derivatives in the finite element method on continuously deforming grids. SIAM J. Num. Anal. 28, 990-1003.
    • (1991) SIAM J. Num. Anal , vol.28 , pp. 990-1003
    • Jimack, P.K.1    Wathen, A.J.2
  • 12
    • 45449123594 scopus 로고
    • Moving finite element methods for evolutionary problems. II. Applications
    • Johnson, I. W., Wathen, A. J., Baines, M. J. 1988 Moving finite element methods for evolutionary problems. II. Applications. J. Of Comp. Phys., 79, 270-297.
    • (1988) J. Of Comp. Phys. , vol.79 , pp. 270-297
    • Johnson, I.W.1    Wathen, A.J.2    Baines, M.J.3
  • 13
    • 0001409208 scopus 로고
    • The Lethargy Theorem-a property of approximation by /-polynomials
    • Jupp, D. L. B. 1975 The Lethargy Theorem-a property of approximation by /-polynomials. J. Approx. Theory, 14, 204-207.
    • (1975) J. Approx. Theory , vol.14 , pp. 204-207
    • Jupp, D.L.B.1
  • 14
    • 33747818869 scopus 로고
    • Approximation to data by splines with free knots
    • Jupp, D. L. B. 1978 Approximation to data by splines with free knots. SIAM J. Num. Anal., 15, 328-343.
    • (1978) SIAM J. Num. Anal. , vol.15 , pp. 328-343
    • Jupp, D.L.B.1
  • 15
    • 0003670148 scopus 로고
    • Numerical Methods for Two-Point Boundary-Value Problems
    • Keller, H. B. 1968 Numerical Methods for Two-Point Boundary-Value Problems. Blaisdell Publishing Company.
    • (1968) Blaisdell Publishing Company
    • Keller, H.B.1
  • 16
    • 0012187553 scopus 로고
    • A boundary value problem for nonlinear ordinary differential equations
    • Lees, M. 1961 A boundary value problem for nonlinear ordinary differential equations. J. Math, and Mech. 10, 423-430.
    • (1961) J. Math, and Mech , vol.10 , pp. 423-430
    • Lees, M.1
  • 18
    • 0001844855 scopus 로고
    • A moving mesh numerical method for hyperbolic conservation laws
    • Lucier, B. J. 1986 A moving mesh numerical method for hyperbolic conservation laws. Math. Comp. 46, 59-69.
    • (1986) Math. Comp , vol.46 , pp. 59-69
    • Lucier, B.J.1
  • 19
    • 49049139022 scopus 로고
    • A unified approach to simulation on deforming elements with applications to phase change problems
    • Lynch, D. R. J. 1982 A unified approach to simulation on deforming elements with applications to phase change problems. J. Of Comp. Phys. 47, 387-411.
    • (1982) J. Of Comp. Phys , vol.47 , pp. 387-411
    • Lynch, D.R.J.1
  • 20
    • 0001296580 scopus 로고
    • Moving finite elements, Part I
    • Miller, K., Miller, R. 1981 Moving finite elements, Part I. SIAM J. Num. Anal. 18, 1019-1032.
    • (1981) SIAM J. Num. Anal , vol.18 , pp. 1019-1032
    • Miller, K.1    Miller, R.2
  • 21
    • 0001296580 scopus 로고
    • Moving finite elements, Part II
    • Miller, K. 1981 Moving finite elements, Part II. SIAM J. Num. Anal., 18, 1033-1057.
    • (1981) SIAM J. Num. Anal. , vol.18 , pp. 1033-1057
    • Miller, K.1
  • 23
    • 0022153639 scopus 로고
    • Continuously deforming finite elements
    • Mueller, A. C., Carey, G. F. 1985 Continuously deforming finite elements. Int. J. Num. Meth. Eng. 21, 2099-2126.
    • (1985) Int. J. Num. Meth. Eng , vol.21 , pp. 2099-2126
    • Mueller, A.C.1    Carey, G.F.2
  • 24
    • 0024165774 scopus 로고
    • Wave equation hydrodynamics on deforming elements
    • Siden, G. L., Lynch, D. R. 1988 Wave equation hydrodynamics on deforming elements. Int. J. Num. Meth. Fluids., 8, 1071-1094.
    • (1988) Int. J. Num. Meth. Fluids. , vol.8 , pp. 1071-1094
    • Siden, G.L.1    Lynch, D.R.2
  • 26
    • 0022767769 scopus 로고
    • Mesh independent spectra in the moving finite element equations
    • Wathen, A. J. 1986 Mesh independent spectra in the moving finite element equations. SIAM J. Num. Anal., 23, 797-814.
    • (1986) SIAM J. Num. Anal. , vol.23 , pp. 797-814
    • Wathen, A.J.1
  • 27
    • 0040658104 scopus 로고
    • On the structure of the moving finite element equations
    • Wathen, A. J., Baines, M. J. 1985 On the structure of the moving finite element equations. IMA J. Num. Anal., 5, 161-182.
    • (1985) IMA J. Num. Anal. , vol.5 , pp. 161-182
    • Wathen, A.J.1    Baines, M.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.