메뉴 건너뛰기




Volumn 29, Issue 2, 2005, Pages 107-125

Iterative schemes for the solution of system of equations arising from the DRM in multi domain approach, and a comparative analysis of the performance of two different radial basis functions used in the interpolation

Author keywords

Diffusion convection equation; Domain decomposition; DRM; Iterative techniques; Radial basis functions

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BENCHMARKING; BOUNDARY ELEMENT METHOD; INTERPOLATION; ITERATIVE METHODS; LINEAR SYSTEMS; PARALLEL PROCESSING SYSTEMS;

EID: 13844299435     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2004.08.008     Document Type: Article
Times cited : (10)

References (31)
  • 2
    • 0032733502 scopus 로고    scopus 로고
    • The DRM-MD integral equation method: An efficient approach for the numerical solution of domain dominant problems
    • V. Popov, and H. Power The DRM-MD integral equation method: an efficient approach for the numerical solution of domain dominant problems Int J Numer Methods Eng 44 3 1999 327 353
    • (1999) Int J Numer Methods Eng , vol.44 , Issue.3 , pp. 327-353
    • Popov, V.1    Power, H.2
  • 4
    • 0026169030 scopus 로고
    • Iterative solution techniques in boundary element analysis
    • J.H. Kane, D.E. Keyes, and K. Guru Prasad Iterative solution techniques in boundary element analysis Int J Numer Methods Eng 31 1991 1511 1536
    • (1991) Int J Numer Methods Eng , vol.31 , pp. 1511-1536
    • Kane, J.H.1    Keyes, D.E.2    Guru Prasad, K.3
  • 9
    • 0029395225 scopus 로고
    • Green element simulations of the transient nonlinear unsaturated flow equation
    • A.E. Taigbenu, and O.O. Onyejekwe Green element simulations of the transient nonlinear unsaturated flow equation Appl Math Modell 19 1995 675 684
    • (1995) Appl Math Modell , vol.19 , pp. 675-684
    • Taigbenu, A.E.1    Onyejekwe, O.O.2
  • 10
    • 0004658716 scopus 로고
    • A new method in vibration analysis by BEM using particular integrals
    • S. Ahmad, and P.K. Banerjee A new method in vibration analysis by BEM using particular integrals J Eng Mech Div, ASCE 1986 113
    • (1986) J Eng Mech Div, ASCE , pp. 113
    • Ahmad, S.1    Banerjee, P.K.2
  • 12
    • 0032184318 scopus 로고    scopus 로고
    • Iterative solution of systems of equations in the dual reciprocity boundary element method for the diffusion equation
    • V. Bulgakov, B. Sarler, and G. Kuhn Iterative solution of systems of equations in the dual reciprocity boundary element method for the diffusion equation Int J Numer Methods Eng 43 1998 713 732
    • (1998) Int J Numer Methods Eng , vol.43 , pp. 713-732
    • Bulgakov, V.1    Sarler, B.2    Kuhn, G.3
  • 13
    • 0029717120 scopus 로고    scopus 로고
    • A domain decomposition in the dual reciprocity approach
    • V. Popov, and H. Power A domain decomposition in the dual reciprocity approach Boundary Elem Commun 7/1 1996 1 5
    • (1996) Boundary Elem Commun , vol.7 , Issue.1 , pp. 1-5
    • Popov, V.1    Power, H.2
  • 14
    • 0001415363 scopus 로고
    • Radial basis functions: A class of grip-free, scattered data approximations
    • E.J. Kansa, and R.E. Carlson Radial basis functions: a class of grip-free, scattered data approximations Comput Fluid Dyn J 3/4 1995 479 496
    • (1995) Comput Fluid Dyn J , vol.3-4 , pp. 479-496
    • Kansa, E.J.1    Carlson, R.E.2
  • 15
    • 84976657333 scopus 로고
    • LSQR sparse linear equations and least squares problems
    • C. Paige, and M. Saunders LSQR sparse linear equations and least squares problems ACM Trans Math Softw 8 2 1982 195 209
    • (1982) ACM Trans Math Softw , vol.8 , Issue.2 , pp. 195-209
    • Paige, C.1    Saunders, M.2
  • 16
    • 13844249290 scopus 로고    scopus 로고
    • Mixed boundary elements for high Re Laminar flows
    • M. Ramsak, and L. Skerget Mixed boundary elements for high Re Laminar flows BEM 1999 21
    • (1999) BEM , pp. 21
    • Ramsak, M.1    Skerget, L.2
  • 17
    • 0028697158 scopus 로고
    • Dual reciprocity BEM based on global interpolation functions
    • A. Cheng, O. Lafe, and S. Grilli Dual reciprocity BEM based on global interpolation functions Eng Anal Bound Elem 14 2 1994 187 191
    • (1994) Eng Anal Bound Elem , vol.14 , Issue.2 , pp. 187-191
    • Cheng, A.1    Lafe, O.2    Grilli, S.3
  • 18
    • 0025206382 scopus 로고
    • Theory and applications of the multiquadric-biharmonic method: 20 years of discovery
    • R.L. Hardy Theory and applications of the multiquadric-biharmonic method: 20 years of discovery Comput Math Appl 19 1990 163 208
    • (1990) Comput Math Appl , vol.19 , pp. 163-208
    • Hardy, R.L.1
  • 19
    • 34250122797 scopus 로고
    • Interpolation of scattered data: Distance matrices and conditionally positive definite functions
    • C.A. Micchelli Interpolation of scattered data: distance matrices and conditionally positive definite functions Constr Approx 2 1986 11 22
    • (1986) Constr Approx , vol.2 , pp. 11-22
    • Micchelli, C.A.1
  • 20
    • 0008808872 scopus 로고
    • Spline prewavelets for nonuniform nodes
    • M.D. Buhmann, and C.A. Micchelli Spline prewavelets for nonuniform nodes Numer Math 61 1992 455 474
    • (1992) Numer Math , vol.61 , pp. 455-474
    • Buhmann, M.D.1    Micchelli, C.A.2
  • 21
    • 21344432378 scopus 로고    scopus 로고
    • Analytic wavelets generated by radial functions
    • C.K. Chui, J. Stoeckler, and J.D. Ward Analytic wavelets generated by radial functions Adv Comput Math 5 1996 95 123
    • (1996) Adv Comput Math , vol.5 , pp. 95-123
    • Chui, C.K.1    Stoeckler, J.2    Ward, J.D.3
  • 22
    • 0000922795 scopus 로고
    • Multivariate interpolation and approximation by translates of a basis function
    • C.K. Chui L.L. Schumaker
    • R. Schaback Multivariate interpolation and approximation by translates of a basis function C.K. Chui L.L. Schumaker Approximation theory VIII 1995 1 8
    • (1995) Approximation Theory VIII , pp. 1-8
    • Schaback, R.1
  • 23
    • 84968515237 scopus 로고
    • Scattered data interpolation: Tests of some methods
    • R. Franke Scattered data interpolation: tests of some methods Math Comp 38 1982 181 200
    • (1982) Math Comp , vol.38 , pp. 181-200
    • Franke, R.1
  • 24
    • 0001603698 scopus 로고
    • Estimation of gradients from scattered data
    • S. Stead Estimation of gradients from scattered data Rocky Mount J Math 14 1984 265 279
    • (1984) Rocky Mount J Math , vol.14 , pp. 265-279
    • Stead, S.1
  • 26
    • 84966244353 scopus 로고
    • Multivariable interpolation and conditionally positive definite functions-II
    • W.R. Madych, and S.A. Nelson Multivariable interpolation and conditionally positive definite functions-II Math Comput 54 1990 211 230
    • (1990) Math Comput , vol.54 , pp. 211-230
    • Madych, W.R.1    Nelson, S.A.2
  • 31
    • 0000673625 scopus 로고
    • Linear least squares solutions by Householder transformations
    • G.H. Golub, and P. Businger Linear least squares solutions by Householder transformations Numer Math 7 1965 269 276
    • (1965) Numer Math , vol.7 , pp. 269-276
    • Golub, G.H.1    Businger, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.