메뉴 건너뛰기




Volumn 23, Issue 5, 1999, Pages 419-433

Dual reciprocity boundary element analysis of nonlinear diffusion: temporal discretization

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; DIFFUSION; FINITE ELEMENT METHOD; FUNCTIONS; INTEGRATION; LEAST SQUARES APPROXIMATIONS; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS;

EID: 0032651798     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(98)00101-5     Document Type: Article
Times cited : (9)

References (61)
  • 10
    • 0027558081 scopus 로고
    • Boundary element solution of heat conduction problems in multizone bodies of non-linear material
    • Bialecki R., Kuhn G. Boundary element solution of heat conduction problems in multizone bodies of non-linear material. International Journal for Numerical Methods in Engineering. 36:(5):1993;799-809.
    • (1993) International Journal for Numerical Methods in Engineering , vol.36 , Issue.5 , pp. 799-809
    • Bialecki, R.1    Kuhn, G.2
  • 11
    • 0344639822 scopus 로고
    • Non-linear solid mechanics
    • D.E. Beskos. Amsterdam, The Netherlands: North-Holland
    • Mukherjee S., Chandra A. Non-linear solid mechanics. Beskos D.E. Boundary Element Methods in Mechanics. 1987;286 North-Holland, Amsterdam, The Netherlands.
    • (1987) Boundary Element Methods in Mechanics , pp. 286
    • Mukherjee, S.1    Chandra, A.2
  • 15
    • 84919073831 scopus 로고
    • The solution of Navier-Stokes equations in terms of vorticity-velocity variables by boundary elements
    • C.A. Brebbia. Berlin: Springer-Verlag
    • Skerget P., Alujevic A., Brebbia C.A. The solution of Navier-Stokes equations in terms of vorticity-velocity variables by boundary elements. Brebbia C.A. Boundary Elements VI. 1984;Springer-Verlag, Berlin.
    • (1984) Boundary Elements VI
    • Skerget, P.1    Alujevic, A.2    Brebbia, C.A.3
  • 16
    • 0342785810 scopus 로고
    • Boundary element method for laminar viscous flow and convective diffusion problems
    • C.A. Brebbia. Berlin: Springer-Verlag. Chapter 8
    • Onishi K., Kuroki T., Tanaka M. Boundary element method for laminar viscous flow and convective diffusion problems. Brebbia C.A. Topics in Boundary Element Research 2. 1985;Springer-Verlag, Berlin. Chapter 8.
    • (1985) Topics in Boundary Element Research 2
    • Onishi, K.1    Kuroki, T.2    Tanaka, M.3
  • 17
    • 0022768502 scopus 로고
    • Numerical solution of Navier-Stokes problems using integral representation with series expansion
    • Wang C.M., Wu J.C. Numerical solution of Navier-Stokes problems using integral representation with series expansion. AIAA Journal. 24:1986;1305-1312.
    • (1986) AIAA Journal , vol.24 , pp. 1305-1312
    • Wang, C.M.1    Wu, J.C.2
  • 18
    • 0023124995 scopus 로고
    • Vector Green's function method for unsteady Navier-Stokes equations
    • Piva R., Morino L. Vector Green's function method for unsteady Navier-Stokes equations. Meccanica. 22:1987;76-85.
    • (1987) Meccanica , vol.22 , pp. 76-85
    • Piva, R.1    Morino, L.2
  • 20
    • 0014870465 scopus 로고
    • A method of solution for certain problems of transient heat conduction
    • Rizzo F.J., Shippy D.J. A method of solution for certain problems of transient heat conduction. AIAA Journal. 8:1970;2004-2009.
    • (1970) AIAA Journal , vol.8 , pp. 2004-2009
    • Rizzo, F.J.1    Shippy, D.J.2
  • 21
    • 0019071041 scopus 로고
    • Solution of parabolic differential equations by the boundary element method using discretization in time
    • Curran D.A.S., Cross M., Lewis B.A. Solution of parabolic differential equations by the boundary element method using discretization in time. Applied Mathematical Modelling. 4:1980;398-400.
    • (1980) Applied Mathematical Modelling , vol.4 , pp. 398-400
    • Curran, D.A.S.1    Cross, M.2    Lewis, B.A.3
  • 22
    • 84985425907 scopus 로고
    • An efficient boundary element method for a class of parabolic differential equations using discretization in time
    • Ingber M.S. An efficient boundary element method for a class of parabolic differential equations using discretization in time. Numerical Methods for Partial Differential Equations. 3:1987;187-197.
    • (1987) Numerical Methods for Partial Differential Equations , vol.3 , pp. 187-197
    • Ingber, M.S.1
  • 23
    • 0015679005 scopus 로고
    • The use of fundamental Green's functions for the solution of problems of heat conduction in anisotropic media
    • Chang Y.P., Kang C.S., Chen D.J. The use of fundamental Green's functions for the solution of problems of heat conduction in anisotropic media. International Journal of Heat and Mass Transfer. 16:1973;1905-1918.
    • (1973) International Journal of Heat and Mass Transfer , vol.16 , pp. 1905-1918
    • Chang, Y.P.1    Kang, C.S.2    Chen, D.J.3
  • 25
    • 0003259585 scopus 로고
    • The boundary element method for steady-state and transient heat conduction
    • R.W. Lewis, & K. Morgan. Swansea: Pineridge Press
    • Wrobel L.C., Brebbia C.A. The boundary element method for steady-state and transient heat conduction. Lewis R.W., Morgan K. Numerical Methods in Thermal Problems. 1979;Pineridge Press, Swansea.
    • (1979) Numerical Methods in Thermal Problems
    • Wrobel, L.C.1    Brebbia, C.A.2
  • 26
    • 0024136819 scopus 로고
    • A boundary only procedure for time-dependent diffusion equations
    • Aral M.M., Tang Y. A boundary only procedure for time-dependent diffusion equations. Applied Mathematical Modelling. 12:1988;610-618.
    • (1988) Applied Mathematical Modelling , vol.12 , pp. 610-618
    • Aral, M.M.1    Tang, Y.2
  • 27
    • 0005609970 scopus 로고
    • The dual reciprocity boundary element formulation for transient heat conduction
    • A. Sa da Costa, A. Melo Baptiste, W.G. Gray, C.A. Brebbia, & G.F. Pinder. Berlin: Springer-Verlag
    • Wrobel L.C., Brebbia C.A., Nardini D. The dual reciprocity boundary element formulation for transient heat conduction. Sa da Costa A., Melo Baptiste A., Gray W.G., Brebbia C.A., Pinder G.F. Finite Elements in Water Resources VI. 1986;Springer-Verlag, Berlin.
    • (1986) Finite Elements in Water Resources VI
    • Wrobel, L.C.1    Brebbia, C.A.2    Nardini, D.3
  • 28
    • 0345303029 scopus 로고
    • Multiple reciprocity method - an approach of solving transient potential problems
    • Nowak A.J. Multiple reciprocity method - an approach of solving transient potential problems. Zeitschrift für Angewandte Mathematik und Mechanik. 71:(6):1991;602-605.
    • (1991) Zeitschrift für Angewandte Mathematik und Mechanik , vol.71 , Issue.6 , pp. 602-605
    • Nowak, A.J.1
  • 29
    • 0040239093 scopus 로고
    • Solving linear heat conduction problems by the multiple reciprocity method
    • C.A. Brebbia, & L.C. Wrobel. Southampton (London): Computational Mechanics Publications (Elsevier Applied Science). chapter 3
    • Nowak A.J. Solving linear heat conduction problems by the multiple reciprocity method. Brebbia C.A., Wrobel L.C. Boundary Element Methods in Heat Transfer. 1992;Computational Mechanics Publications (Elsevier Applied Science), Southampton (London). chapter 3.
    • (1992) Boundary Element Methods in Heat Transfer
    • Nowak, A.J.1
  • 30
    • 0344008785 scopus 로고
    • Boundary element method in singular and nonlinear heat conduction
    • C.A. Brebbia. Berlin: Springer-Verlag
    • Onishi K., Kuroki T. Boundary element method in singular and nonlinear heat conduction. Brebbia C.A. Boundary Elements IV. 1982;141 Springer-Verlag, Berlin.
    • (1982) Boundary Elements IV , pp. 141
    • Onishi, K.1    Kuroki, T.2
  • 31
    • 0022563631 scopus 로고
    • On nonlinear heat transfer problems
    • P.K. Banerjee, & J.O. Watson. London: Elsevier Applied Science Publishers. Chapter 6
    • Onishi K., Kuroki T. On nonlinear heat transfer problems. Banerjee P.K., Watson J.O. Developments in Boundary Element Methods-4. 1986;Elsevier Applied Science Publishers, London. Chapter 6.
    • (1986) Developments in Boundary Element Methods-4
    • Onishi, K.1    Kuroki, T.2
  • 32
    • 0020914806 scopus 로고
    • Application of BEM to unsteady 3-dimensional heat conduction problems with nonlinear boundary conditions
    • C.A. Brebbia, T. Futagami, & M. Tanaka. Berlin: Springer-Verlag
    • Koizumi M., Utamura M., Kotani K. Application of BEM to unsteady 3-dimensional heat conduction problems with nonlinear boundary conditions. Brebbia C.A., Futagami T., Tanaka M. Boundary Elements V. 1983;Springer-Verlag, Berlin.
    • (1983) Boundary Elements V
    • Koizumi, M.1    Utamura, M.2    Kotani, K.3
  • 33
    • 0344008786 scopus 로고
    • Nonlinear time dependent potential problems using BEM
    • C.A. Brebbia. Berlin: Springer-Verlag
    • Brebbia C.A., Skerget P. Nonlinear time dependent potential problems using BEM. Brebbia C.A. Boundary Elements VI. 1984;Springer-Verlag, Berlin.
    • (1984) Boundary Elements VI
    • Brebbia, C.A.1    Skerget, P.2
  • 35
    • 0025384063 scopus 로고
    • Application of the boundary element method to heat transfer in cracked nuclear fuel pellets
    • Zagar I., Rek Z., Alujevic A., Skerget L. Application of the boundary element method to heat transfer in cracked nuclear fuel pellets. Kerntechnik. 55:(1):1990;39-42.
    • (1990) Kerntechnik , vol.55 , Issue.1 , pp. 39-42
    • Zagar, I.1    Rek, Z.2    Alujevic, A.3    Skerget, L.4
  • 36
  • 38
    • 0020892492 scopus 로고
    • A boundary element solution to Stefan's problems
    • C.A. Brebbia, T. Futagami, & M. Tanaka. Berlin: Springer-Verlag
    • Wrobel L.C. A boundary element solution to Stefan's problems. Brebbia C.A., Futagami T., Tanaka M. Boundary Elements V. 1983;173 Springer-Verlag, Berlin.
    • (1983) Boundary Elements V , pp. 173
    • Wrobel, L.C.1
  • 39
    • 0020950088 scopus 로고
    • Application of the boundary element method in two and three dimensional unsteady heat transfer problems involving phase change
    • C.A. Brebbia, T. Futagami, & M. Tanaka. Berlin: Springer-Verlag
    • Hong C.P., Umeda T., Kimura Y. Application of the boundary element method in two and three dimensional unsteady heat transfer problems involving phase change. Brebbia C.A., Futagami T., Tanaka M. Boundary Elements V. 1983;153 Springer-Verlag, Berlin.
    • (1983) Boundary Elements V , pp. 153
    • Hong, C.P.1    Umeda, T.2    Kimura, Y.3
  • 40
    • 0020883350 scopus 로고
    • Boundary elements to phase change problems
    • C.A. Brebbia, T. Futagami, & M. Tanaka. Berlin: Springer-Verlag
    • Takahashi S., Onishi K., Kuroki T., Hayashi K. Boundary elements to phase change problems. Brebbia C.A., Futagami T., Tanaka M. Boundary Elements V. 1983;163 Springer-Verlag, Berlin.
    • (1983) Boundary Elements V , pp. 163
    • Takahashi, S.1    Onishi, K.2    Kuroki, T.3    Hayashi, K.4
  • 41
    • 0001476575 scopus 로고
    • A new approach to free vibration analysis using boundary elements
    • C.A. Brebbia. Berlin: Springer-Verlag
    • Nardini D., Brebbia C.A. A new approach to free vibration analysis using boundary elements. Brebbia C.A. Boundary Elements IV. 1982;312 Springer-Verlag, Berlin.
    • (1982) Boundary Elements IV , pp. 312
    • Nardini, D.1    Brebbia, C.A.2
  • 42
    • 0001578881 scopus 로고
    • Dynamic analysis in solid mechanics by an alternative boundary element procedure
    • Brebbia C.A., Nardini D. Dynamic analysis in solid mechanics by an alternative boundary element procedure. Soil Dynamics and Earthquake Engineering. 2:1983;228-233.
    • (1983) Soil Dynamics and Earthquake Engineering , vol.2 , pp. 228-233
    • Brebbia, C.A.1    Nardini, D.2
  • 43
    • 0020938320 scopus 로고
    • Transient dynamic analysis by the boundary element method
    • C.A. Brebbia, T. Futagami, & M. Tanaka. Berlin: Springer-Verlag
    • Nardini D., Brebbia C.A. Transient dynamic analysis by the boundary element method. Brebbia C.A., Futagami T., Tanaka M. Boundary Elements V. 1983;719 Springer-Verlag, Berlin.
    • (1983) Boundary Elements V , pp. 719
    • Nardini, D.1    Brebbia, C.A.2
  • 44
    • 0005535174 scopus 로고
    • Application of the boundary element method in heat conduction problems
    • In C.A. Brebbia, G. Maier, editors, Springer-Verlag, Berlin
    • Jana Valcharova. Application of the boundary element method in heat conduction problems. In C.A. Brebbia, G. Maier, editors, Boundary Elements VII, Springer-Verlag, Berlin, 1985.
    • (1985) Boundary Elements VII
    • Valcharova, J.1
  • 45
    • 0012749970 scopus 로고
    • A dual reciprocity boundary element formulation for axisymmetric diffusion problems
    • C.A. Brebbia, & M. Tanaka. Berlin: Springer-Verlag
    • Wrobel L.C., Telles J.C.F., Brebbia C.A. A dual reciprocity boundary element formulation for axisymmetric diffusion problems. Brebbia C.A., Tanaka M. Boundary Elements VIII. 1986;Springer-Verlag, Berlin.
    • (1986) Boundary Elements VIII
    • Wrobel, L.C.1    Telles, J.C.F.2    Brebbia, C.A.3
  • 47
    • 0041822802 scopus 로고
    • A boundary element analysis of transient convection-diffusion problems
    • C.A. Brebbia, M. Tanaka, Honma T. Southampton (Berlin): Computational Mechanics Publications (Springer-verlag)
    • DeFigueiredo D.B., Wrobel L.C. A boundary element analysis of transient convection-diffusion problems. Brebbia C.A., Tanaka M., Honma T. Boundary Elements XII. 1:1990;Computational Mechanics Publications (Springer-verlag), Southampton (Berlin).
    • (1990) Boundary Elements XII , vol.1
    • Defigueiredo, D.B.1    Wrobel, L.C.2
  • 50
    • 85031632740 scopus 로고
    • A dual reciprocity boundary element method in transient heat conduction with nonlinear boundary conditions
    • Indian Society for Heat and Mass Transfer
    • Singh, KM, Kalra, MS, A dual reciprocity boundary element method in transient heat conduction with nonlinear boundary conditions. In Proc. 10th National Heat and Mass Transfer Conference, Indian Society for Heat and Mass Transfer, 1989, pp. 467-474.
    • (1989) In Proc. 10th National Heat and Mass Transfer Conference , pp. 467-474
    • Singh, K.M.1    Kalra, M.S.2
  • 52
    • 0027575276 scopus 로고
    • Least squares finite element formulation in time domain for the dual reciprocity boundary element method in heat conduction
    • Singh K.M., Kalra M.S. Least squares finite element formulation in time domain for the dual reciprocity boundary element method in heat conduction. Computer Methods in Applied Mechanics and Engineering. 104:(2):1993;147-172.
    • (1993) Computer Methods in Applied Mechanics and Engineering , vol.104 , Issue.2 , pp. 147-172
    • Singh, K.M.1    Kalra, M.S.2
  • 53
    • 0030234291 scopus 로고    scopus 로고
    • Time integration in the dual reciprocity boundary element analysis of transient diffusion
    • Singh K.M., Kalra M.S. Time integration in the dual reciprocity boundary element analysis of transient diffusion. Engineering Analysis with Boundary Elements. 18:(2):1996;73-102.
    • (1996) Engineering Analysis with Boundary Elements , vol.18 , Issue.2 , pp. 73-102
    • Singh, K.M.1    Kalra, M.S.2
  • 58
    • 0003453202 scopus 로고
    • The Finite Element Method
    • New York: McGraw Hill
    • Zienkiewicz O.C. The Finite Element Method. 3rd edition :1977;McGraw Hill, New York.
    • (1977) 3rd Edition
    • Zienkiewicz, O.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.