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Volumn 44, Issue 2, 2003, Pages 145-164

Boundary-Element Analysis Of 3-D Diffusion Problems Using A Parallel Domain Decomposition Method

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; FINITE DIFFERENCE METHOD; GREEN'S FUNCTION; HEAT TRANSFER COEFFICIENTS; INTEGRAL EQUATIONS; INTERFACES (MATERIALS); ITERATIVE METHODS; PARTIAL DIFFERENTIAL EQUATIONS; THREE DIMENSIONAL;

EID: 0242583099     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/713836344     Document Type: Article
Times cited : (10)

References (27)
  • 1
    • 0037143662 scopus 로고    scopus 로고
    • Parallelization of a Vorticity Formulation for the Analysis of Incompressible Viscous Fluid Flows
    • M. J. Brown and M. S. Ingber, Parallelization of a Vorticity Formulation for the Analysis of Incompressible Viscous Fluid Flows, Int. J. Numer. Meth. Fluids, vol. 52, no. 11, pp. 979-999, 2002.
    • (2002) Int. J. Numer. Meth. Fluids , vol.52 , Issue.11 , pp. 979-999
    • Brown, M.J.1    Ingber, M.S.2
  • 2
    • 0042707414 scopus 로고
    • A Preliminary Analysis of Boundary Element Methods Applied to Parabolic Partial Differential Equations
    • in C. A. Brebbia (Ed.), CML Publications, Southampton, UK
    • D. Curran, M. Cross, and B. A. Lewis, A Preliminary Analysis of Boundary Element Methods Applied to Parabolic Partial Differential Equations, in C. A. Brebbia (Ed.), New Developments in Boundary Element Methods, CML Publications, Southampton, UK, 1980.
    • (1980) New Developments in Boundary Element Methods
    • Curran, D.1    Cross, M.2    Lewis, B.A.3
  • 3
    • 0019071041 scopus 로고
    • Solution of Parabolic Differential Equations by the Boundary Element Method Using Discretization in Time
    • D. Curran, M. Cross, and B. A. Lewis, Solution of Parabolic Differential Equations by the Boundary Element Method Using Discretization in Time, Appl. Math. Modelling, vol. 4, pp. 398-400 1980.
    • (1980) Appl. Math. Modelling , vol.4 , pp. 398-400
    • Curran, D.1    Cross, M.2    Lewis, B.A.3
  • 4
    • 0000130624 scopus 로고    scopus 로고
    • The Domain Decomposition Boundary Element Method on a Network of Transputers
    • in R. C. Ertekin, C. A. Brebbia, M. Tanaka, and R. Shaw (Eds.), Computational Mechanics Publications, Southampton, UK
    • A. J. Davies and J. Mushtaq, The Domain Decomposition Boundary Element Method on a Network of Transputers, in R. C. Ertekin, C. A. Brebbia, M. Tanaka, and R. Shaw (Eds.), Proc. Boundary Element Technology XI, pp. 397-406, Computational Mechanics Publications, Southampton, UK, 1996.
    • (1996) Proc. Boundary Element Technology XI , pp. 397-406
    • Davies, A.J.1    Mushtaq, J.2
  • 5
    • 2942748280 scopus 로고    scopus 로고
    • Interface Relaxation Algorithms for Coupling the FEM and BEM
    • in C. A. Brebbia, A. Tadeu, and V. Popov (Eds.), WIT Press, Southampton, UK
    • W. M. Elleithy and M. Tanaka, Interface Relaxation Algorithms for Coupling the FEM and BEM, in C. A. Brebbia, A. Tadeu, and V. Popov (Eds.), Proc. Boundary Elements XXIV, pp. 721-730, WIT Press, Southampton, UK, 2002.
    • (2002) Proc. Boundary Elements XXIV , pp. 721-730
    • Elleithy, W.M.1    Tanaka, M.2
  • 7
    • 0020822059 scopus 로고
    • Domain Decomposition Methods for Nonlinear Problems in Fluid Dynamics
    • R. Glowinski, Q. V. Dinh, and J. Periaux, Domain Decomposition Methods for Nonlinear Problems in Fluid Dynamics, Comput. Meth. Appl. Mech. Eng., vol. 40, pp. 27-109, 1983.
    • (1983) Comput. Meth. Appl. Mech. Eng. , vol.40 , pp. 27-109
    • Glowinski, R.1    Dinh, Q.V.2    Periaux, J.3
  • 8
    • 0001987050 scopus 로고
    • The Theory of Radial Basis Functions Applied to the BEM for Inhomogeneous Partial Differential Equations
    • M. A. Goldberg and C. S. Chen, The Theory of Radial Basis Functions Applied to the BEM for Inhomogeneous Partial Differential Equations, Bound. Elem. Commun., vol. 5, pp. 57-61, 1994.
    • (1994) Bound. Elem. Commun. , vol.5 , pp. 57-61
    • Goldberg, M.A.1    Chen, C.S.2
  • 9
    • 0032025676 scopus 로고    scopus 로고
    • Some Comments on the Use of Radial Basis Functions in the Dual Reciprocity Method
    • M. A. Goldberg, C. S. Chen, H. Bowman, and H. Power, Some Comments on the Use of Radial Basis Functions in the Dual Reciprocity Method, Comput. Mech., vol. 21, pp. 141-148, 1998.
    • (1998) Comput. Mech. , vol.21 , pp. 141-148
    • Goldberg, M.A.1    Chen, C.S.2    Bowman, H.3    Power, H.4
  • 10
    • 0026835954 scopus 로고
    • A Boundary Element Approach for Parabolic Equations Using a Class of Particular Solutions
    • M. S. Ingber and N. Phan-Thien, A Boundary Element Approach for Parabolic Equations Using a Class of Particular Solutions, Appl. Math. Modelling, vol. 16, pp. 124-132, 1992.
    • (1992) Appl. Math. Modelling , vol.16 , pp. 124-132
    • Ingber, M.S.1    Phan-Thien, N.2
  • 11
    • 0035840996 scopus 로고    scopus 로고
    • A Comparison of Domain Integral Evaluation Techniques for Boundary Element Methods
    • M. S. Ingber, A. A. Mammoli, and M. J. Brown, A Comparison of Domain Integral Evaluation Techniques for Boundary Element Methods, Int. J. Numer. Meth. Eng., vol. 52, no. 4, pp. 417-432, 2001.
    • (2001) Int. J. Numer. Meth. Eng. , vol.52 , Issue.4 , pp. 417-432
    • Ingber, M.S.1    Mammoli, A.A.2    Brown, M.J.3
  • 12
    • 0030258626 scopus 로고    scopus 로고
    • Parallel Implementation of Boundary Element Method with Domain Decomposition
    • N. Kamiya, H. Iwase, and E. Kita, Parallel Implementation of Boundary Element Method with Domain Decomposition, Eng. Anal. Bound. Elem., vol. 18, no. 3, pp. 209-216, 1996.
    • (1996) Eng. Anal. Bound. Elem. , vol.18 , Issue.3 , pp. 209-216
    • Kamiya, N.1    Iwase, H.2    Kita, E.3
  • 13
    • 0028738270 scopus 로고
    • Diakoptes, Domain Decomposition and Parallel Computing
    • C. H. Lai, Diakoptes, Domain Decomposition and Parallel Computing, Comput. J., vol. 37, pp. 840-846, 1994.
    • (1994) Comput. J. , vol.37 , pp. 840-846
    • Lai, C.H.1
  • 14
    • 0018655002 scopus 로고
    • Unsteady Flow in Confined Aquifers: A Comparison of Two Boundary Integral Methods
    • J. A. Liggett and P. L. F. Liu, Unsteady Flow in Confined Aquifers: A Comparison of Two Boundary Integral Methods, Water Resources Res., vol. 15, pp. 861-866, 1979.
    • (1979) Water Resources Res. , vol.15 , pp. 861-866
    • Liggett, J.A.1    Liu, P.L.F.2
  • 15
    • 0032300130 scopus 로고    scopus 로고
    • A Fast Convergent Iterative Boundary Element Method on a PVM Cluster
    • N. Mai-Duy, P. Nguyen-Hong, and T. Tran-Cong, A Fast Convergent Iterative Boundary Element Method on a PVM Cluster, Eng. Anal. Bound. Elem., vol. 22, no. 4, pp. 307-316, 1998.
    • (1998) Eng. Anal. Bound. Elem. , vol.22 , Issue.4 , pp. 307-316
    • Mai-Duy, N.1    Nguyen-Hong, P.2    Tran-Cong, T.3
  • 16
    • 0027004864 scopus 로고
    • Alternative Formulations of the Laplace Transform Boundary Element (LTBE) Numerical Method for the Solution of Diffusion-Type Equations
    • in C. A. Brebbia and M. S. Ingber (Eds.), Computational Mechanics Publications, Southampton, UK
    • G. J. Moridis, Alternative Formulations of the Laplace Transform Boundary Element (LTBE) Numerical Method for the Solution of Diffusion-Type Equations, in C. A. Brebbia and M. S. Ingber (Eds.), Proc. Boundary Element Technology VII, pp. 815-833, Computational Mechanics Publications, Southampton, UK, 1992.
    • (1992) Proc. Boundary Element Technology VII , pp. 815-833
    • Moridis, G.J.1
  • 18
    • 0001355838 scopus 로고
    • Radial Basis Functions for Multivariate Interpolation
    • in J. C. Mason and M. G. Cox (Eds.), Clarendon Press, Oxford, UK
    • M. J. D. Powell, Radial Basis Functions for Multivariate Interpolation, in J. C. Mason and M. G. Cox (Eds.), Algorithms for Application, Clarendon Press, Oxford, UK, 1987.
    • (1987) Algorithms for Application
    • Powell, M.J.D.1
  • 19
    • 0033880191 scopus 로고    scopus 로고
    • The DRM Subdomain Decomposition Approach to Solve the Two-Dimensional Navier-Stokes System of Equations
    • H. Power and R. Mingo, The DRM Subdomain Decomposition Approach to Solve the Two-Dimensional Navier-Stokes System of Equations, Eng. Anal. Bound. Elem., vol. 24, no. 1, pp. 107-119, 2000.
    • (2000) Eng. Anal. Bound. Elem. , vol.24 , Issue.1 , pp. 107-119
    • Power, H.1    Mingo, R.2
  • 20
    • 0033881728 scopus 로고    scopus 로고
    • The DRM Subdomain Decomposition Approach to Solve the Two-Dimensional Thermal Convection Flow Problems
    • H. Power and R. Mingo, The DRM Subdomain Decomposition Approach to Solve the Two-Dimensional Thermal Convection Flow Problems, Eng. Anal. Bound. Elem., vol. 24, no. 1, pp. 121-127, 2000.
    • (2000) Eng. Anal. Bound. Elem. , vol.24 , Issue.1 , pp. 121-127
    • Power, H.1    Mingo, R.2
  • 21
    • 0014870465 scopus 로고
    • A Method of Solution for Certain Problems of Transient Heat Conduction
    • F. J. Rizzo and D. J. Shippy, A Method of Solution for Certain Problems of Transient Heat Conduction, AIAA J., vol. 8, pp. 2004-2009, 1970.
    • (1970) AIAA J. , vol.8 , pp. 2004-2009
    • Rizzo, F.J.1    Shippy, D.J.2
  • 22
    • 0028735252 scopus 로고
    • A 65 + Gflop/s Unstructured Finite Element Simulation of Chemically Reacting Flows on the Intel Paragon
    • IEEE Computer Society Press, Washington DC
    • J. N. Shadid, S. A. Hutchinson, H. K. Moffat, G. L. Hennigan, B. Hendrickson, and R. W. Leland, A 65 + Gflop/s Unstructured Finite Element Simulation of Chemically Reacting Flows on the Intel Paragon, Proc. Supercomputing 94, IEEE Computer Society Press, Washington DC, 1994.
    • (1994) Proc. Supercomputing 94
    • Shadid, J.N.1    Hutchinson, S.A.2    Moffat, H.K.3    Hennigan, G.L.4    Hendrickson, B.5    Leland, R.W.6
  • 23
    • 0029223337 scopus 로고
    • A Comparison of the Semidiscontinuous Element and Multiple Node with Auxiliary Boundary Collocation Approaches for the Boundary Element Method
    • S. R. Subia, M. S. Ingber, and A. K. Mitra, A Comparison of the Semidiscontinuous Element and Multiple Node with Auxiliary Boundary Collocation Approaches for the Boundary Element Method, Eng. Anal. Bound. Elem., vol 15, no. 1, pp. 19-28, 1995.
    • (1995) Eng. Anal. Bound. Elem. , vol.15 , Issue.1 , pp. 19-28
    • Subia, S.R.1    Ingber, M.S.2    Mitra, A.K.3
  • 24
    • 0022028085 scopus 로고
    • Boundary Element Calculations for the Diffusion Equation
    • A. E. Taigbenu and J. A. Liggett, Boundary Element Calculations for the Diffusion Equation, J. Eng. Mech., vol. 111, no. 3, pp. 311-328, 1985.
    • (1985) J. Eng. Mech. , vol.111 , Issue.3 , pp. 311-328
    • Taigbenu, A.E.1    Liggett, J.A.2
  • 25
    • 0003259585 scopus 로고
    • The Boundary Element Method for Steady-State and Transient Heat Conduction
    • in R. W. Lewis and and K. Morgan (Eds.), Pineridge Press, Swansea, Wales
    • L. C. Wrobel and C. A. Brebbia, The Boundary Element Method for Steady-State and Transient Heat Conduction, in R. W. Lewis and and K. Morgan (Eds.), Numerical Methods in Thermal Problems, Pineridge Press, Swansea, Wales, 1979.
    • (1979) Numerical Methods in Thermal Problems
    • Wrobel, L.C.1    Brebbia, C.A.2
  • 26
    • 0024069404 scopus 로고
    • Boundary Elements for Non-linear Heat Conduction Problems
    • L. C. Wrobel and C. A. Brebbia, Boundary Elements for Non-linear Heat Conduction Problems, Commun. Appl. Numer. Meth., vol. 4, pp. 617-622, 1988.
    • (1988) Commun. Appl. Numer. Meth. , vol.4 , pp. 617-622
    • Wrobel, L.C.1    Brebbia, C.A.2
  • 27
    • 0000222725 scopus 로고
    • A Boundary Element Approach for Nonhomogeneous Potential Problems
    • R. Zheng, C. J. Coleman, and N. Phan-Thien, A Boundary Element Approach for Nonhomogeneous Potential Problems, Comput. Math., vol. 7, no. 4, pp. 279-288, 1991.
    • (1991) Comput. Math. , vol.7 , Issue.4 , pp. 279-288
    • Zheng, R.1    Coleman, C.J.2    Phan-Thien, N.3


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