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Volumn 24, Issue 7-8, 2000, Pages 549-557

Solution of Poisson's equation by iterative DRBEM using compactly supported, positive definite radial basis function

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; INTERPOLATION; ITERATIVE METHODS; MATRIX ALGEBRA; PROBLEM SOLVING; THEOREM PROVING;

EID: 0343826594     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(00)00035-7     Document Type: Article
Times cited : (64)

References (20)
  • 1
    • 0003854115 scopus 로고
    • Relaxation methods in engineering science
    • Oxford: Oxford University Press
    • Southwell R.V. Relaxation methods in engineering science. A treatise on approximate computation. 1940;Oxford University Press, Oxford.
    • (1940) A Treatise on Approximate Computation
    • Southwell, R.V.1
  • 4
    • 0031219785 scopus 로고    scopus 로고
    • An iterative boundary element method for solving numerically the Cauchy problem for the Laplace equation
    • Lesnic D., Elliott L., Ingham D.B. An iterative boundary element method for solving numerically the Cauchy problem for the Laplace equation. Engng Anal Bound Elem. 20:1997;123-133.
    • (1997) Engng Anal Bound Elem , vol.20 , pp. 123-133
    • Lesnic, D.1    Elliott, L.2    Ingham, D.B.3
  • 5
    • 0032300130 scopus 로고    scopus 로고
    • A fast convergent iterative boundary element method on PVM cluster
    • Mai-Duy N., Nguyen-Hong P., Tran-Cong T. A fast convergent iterative boundary element method on PVM cluster. Engng Anal Bound Elem. 22:1998;307-316.
    • (1998) Engng Anal Bound Elem , vol.22 , pp. 307-316
    • Mai-Duy, N.1    Nguyen-Hong, P.2    Tran-Cong, T.3
  • 6
  • 7
    • 0032162611 scopus 로고    scopus 로고
    • Iterative solvers for BEM algebraic systems of equations
    • Valente F.P., Pina H.L.G. Iterative solvers for BEM algebraic systems of equations. Engng Anal Bound Elem. 22:1998;117-124.
    • (1998) Engng Anal Bound Elem , vol.22 , pp. 117-124
    • Valente, F.P.1    Pina, H.L.G.2
  • 8
    • 0023962607 scopus 로고
    • I-BIEM. An iterative boundary integral equation method for computer solutions of current distribution problems with complex boundaries-A new algorithm
    • Cahan B.D., Scherson D., Reid M.A. I-BIEM. An iterative boundary integral equation method for computer solutions of current distribution problems with complex boundaries-A new algorithm. J Electrochem Soc. 135:1988;285-293.
    • (1988) J Electrochem Soc , vol.135 , pp. 285-293
    • Cahan, B.D.1    Scherson, D.2    Reid, M.A.3
  • 9
    • 84944831986 scopus 로고
    • On the iterative boundary element method
    • A.H.-D. Cheng, C.A. Brebbia, & S. Grilli. Computational Mechanics. BETECH90, University of Delaware
    • Cahan B.D., Lafe O.E. On the iterative boundary element method. Cheng A.H.-D., Brebbia C.A., Grilli S. Computational engineering with boundary elements, 2: solid and computational problems. 1990;199-209 Computational Mechanics. BETECH90, University of Delaware.
    • (1990) Computational Engineering with Boundary Elements, 2: Solid and Computational Problems , pp. 199-209
    • Cahan, B.D.1    Lafe, O.E.2
  • 10
    • 0026014346 scopus 로고
    • Boundary element solution for stochastic groundwater flow: Random boundary condition and recharge
    • Cheng A.H.-D., Lafe O.E. Boundary element solution for stochastic groundwater flow: random boundary condition and recharge. Water Resour Res. 27:1991;231-242.
    • (1991) Water Resour Res , vol.27 , pp. 231-242
    • Cheng, A.H.-D.1    Lafe, O.E.2
  • 11
    • 0027790176 scopus 로고
    • Boundary element solution for stochastic groundwater flow:temporal weakly stationary problems
    • Cheng A.H.-D., Abousleiman Y., Ruan F., Lafe O.E. Boundary element solution for stochastic groundwater flow:temporal weakly stationary problems. Water Resour Res. 29:1993;2893-2908.
    • (1993) Water Resour Res , vol.29 , pp. 2893-2908
    • Cheng, A.H.-D.1    Abousleiman, Y.2    Ruan, F.3    Lafe, O.E.4
  • 13
    • 0346847275 scopus 로고
    • Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
    • Wendland H. Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Adv Comput Math. 4:1995;389-396.
    • (1995) Adv Comput Math , vol.4 , pp. 389-396
    • Wendland, H.1
  • 14
    • 0033116371 scopus 로고    scopus 로고
    • Some recent results and proposals for the use of radial basis functions in the BEM
    • Golberg M.A., Chen C.S., Bowman H. Some recent results and proposals for the use of radial basis functions in the BEM. Engng Anal Bound Elem. 23:1999;285-296.
    • (1999) Engng Anal Bound Elem , vol.23 , pp. 285-296
    • Golberg, M.A.1    Chen, C.S.2    Bowman, H.3
  • 15
    • 0028603181 scopus 로고
    • Dual reciprocity BEM based on global interpolation functions
    • Cheng A.H.-D., Lafe O., Grilli S. Dual reciprocity BEM based on global interpolation functions. Engng Anal Bound Elem. 13:1994;303-311.
    • (1994) Engng Anal Bound Elem , vol.13 , pp. 303-311
    • Cheng, A.H.-D.1    Lafe, O.2    Grilli, S.3
  • 16
    • 0001799089 scopus 로고    scopus 로고
    • Review of dual boundary element methods with emphasis on hypersingular integrals and divergent series
    • Chen J.T., Hong H.-K. Review of dual boundary element methods with emphasis on hypersingular integrals and divergent series. Appl Mech Rev, ASME. 52:1999;17-33.
    • (1999) Appl Mech Rev, ASME , vol.52 , pp. 17-33
    • Chen, J.T.1    Hong, H.-K.2
  • 17
    • 0342906767 scopus 로고    scopus 로고
    • Towards criteria for selection approximation functions in the Dual Reciprocity Method
    • Partridge P.W. Towards criteria for selection approximation functions in the Dual Reciprocity Method. Engng Anal Bound Elem 2000;24:519-529.
    • (2000) Engng Anal Bound Elem , vol.24 , pp. 519-529
    • Partridge, P.W.1
  • 18
    • 0033076244 scopus 로고    scopus 로고
    • Dual reciprocity method using compactly supported radial basis functions
    • Chen C.S., Brebbia C.A., Power H. Dual reciprocity method using compactly supported radial basis functions. Commun Numer Meth Engng. 15:1999;137-150.
    • (1999) Commun Numer Meth Engng , vol.15 , pp. 137-150
    • Chen, C.S.1    Brebbia, C.A.2    Power, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.