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Volumn 26, Issue 3, 2009, Pages 229-244

The method of fundamental solutions with dual reciprocity for three-dimensional thermoelasticity under arbitrary body forces

Author keywords

Elasticity; Gaussian processes

Indexed keywords

ARBITRARY BODY; BODY FORCES; DESIGN/METHODOLOGY/APPROACH; DOMAIN PROBLEMS; DUAL RECIPROCITY; DUAL RECIPROCITY METHODS; GAUSSIAN ELIMINATION; GAUSSIAN PROCESSES; MESHLESS NUMERICAL METHOD; METHOD OF FUNDAMENTAL SOLUTIONS; NUMERICAL EXPERIMENTS; PARTICULAR SOLUTION; PEANUT-SHAPED; POLYHARMONIC SPLINES; POLYNOMIAL BASIS; THERMOELASTIC PROBLEMS; TRUNCATED SINGULAR VALUE DECOMPOSITION;

EID: 74549171614     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644400910943590     Document Type: Article
Times cited : (31)

References (28)
  • 1
    • 3142761742 scopus 로고    scopus 로고
    • Density results using Stokeslets and a method of fundamental solution for the Stokes equations
    • Alves, C.J.S. and Silvestre, A.L. (2004), "Density results using Stokeslets and a method of fundamental solution for the Stokes equations", Engineering Analysis with Boundary Elements, Vol.28, pp. 1245-1252
    • (2004) Engineering Analysis with Boundary Elements , vol.28 , pp. 1245-1252
    • Alves, C.J.S.1    Silvestre, A.L.2
  • 2
    • 0001067701 scopus 로고    scopus 로고
    • A particular solution Trefftz method for nonlinear Poisson problems in heat and mass transfer
    • Balakrishnan, K. and Ramachandran, P.A. (1999), "A particular solution Trefftz method for nonlinear Poisson problems in heat and mass transfer", Journal of Computational Physics, Vol.150, pp. 239-267
    • (1999) Journal of Computational Physics , vol.150 , pp. 239-267
    • Balakrishnan, K.1    Ramachandran, P.A.2
  • 3
    • 0022107918 scopus 로고
    • Fundamental solutions method for elliptic boundary value problems
    • Bogomolny, A. (1985), "Fundamental solutions method for elliptic boundary value problems", SIAM Journal on Numerical Analysis, Vol.22, pp. 644-669
    • (1985) SIAM Journal on Numerical Analysis , vol.22 , pp. 644-669
    • Bogomolny, A.1
  • 4
    • 33646130396 scopus 로고    scopus 로고
    • Some comments on the ill-conditioning of the method of fundamental solutions
    • Chen, C.S., Hokwon, A.C. and Golberg, M.A. (2006a), "Some comments on the ill-conditioning of the method of fundamental solutions", Engineering Analysis with Boundary Elements, Vol.30, pp. 405-410
    • (2006) Engineering Analysis with Boundary Elements , vol.30 , pp. 405-410
    • Chen, C.S.1    Hokwon, A.C.2    Golberg, M.A.3
  • 5
    • 33845408231 scopus 로고    scopus 로고
    • Regularized meshless method for solving acoustic eigenproblem with multiply connected domain
    • Chen, K.H., Chen, J.T. and Kao, J.H. (2006b), "Regularized meshless method for solving acoustic eigenproblem with multiply connected domain", Computer Modeling in Engineering & Science, Vol.16, pp. 27-39.
    • (2006) Computer Modeling in Engineering & Science , vol.16 , pp. 27-39
    • Chen, K.H.1    Chen, J.T.2    Kao, J.H.3
  • 8
    • 0001935440 scopus 로고
    • Splines minimizing rotation invariant semi-norms in Sobolev spaces
    • in Schempp, W. and Zeller, K. (Eds), Lecture Notes in Mathematics, Springer, Berlin
    • Duchon, J. (1976), "Splines minimizing rotation invariant semi-norms in Sobolev spaces", in Schempp, W. and Zeller, K. (Eds), Constitutive Theory of Functions of Several Variables, Lecture Notes in Mathematics, Springer, Berlin, pp. 85-100.
    • (1976) Constitutive Theory of Functions of Several Variables , pp. 85-100
    • Duchon, J.1
  • 9
    • 0032344733 scopus 로고    scopus 로고
    • The method of fundamental solutions for elliptic boundary value problems
    • Fairweather, G. and Karageorghis, A. (1998), "The method of fundamental solutions for elliptic boundary value problems", Advances in Computational Mathematics, Vol.9, pp. 69-95. (Pubitemid 128403959)
    • (1998) Advances in Computational Mathematics , vol.9 , Issue.1-2 , pp. 69-95
    • Fairweather, G.1    Karageorghis, A.2
  • 11
    • 23744434356 scopus 로고    scopus 로고
    • The method of fundamental solutions applied to 3D structures with body forces using particular solutions
    • Fam, G.S.A. and Rashed, Y.F. (2005), "The method of fundamental solutions applied to 3D structures with body forces using particular solutions", Computational Mechanics, Vol.36, pp. 245-254
    • (2005) Computational Mechanics , vol.36 , pp. 245-254
    • Fam, G.S.A.1    Rashed, Y.F.2
  • 12
    • 0029388503 scopus 로고
    • The method of fundamental solutions for Poisson's equation
    • Golberg, M.A. (1995), "The method of fundamental solutions for Poisson's equation", Engineering Analysis with Boundary Elements, Vol.16, pp. 205-213
    • (1995) Engineering Analysis with Boundary Elements , vol.16 , pp. 205-213
    • Golberg, M.A.1
  • 13
    • 0025210711 scopus 로고
    • Multiquadrics - A scattered data approximation scheme with applications to computational fluid dynamics-II. Solutions to parabolic, hyperbolic and elliptic partial differential equations
    • Kansa, E.J. (1990), "Multiquadrics - a scattered data approximation scheme with applications to computational fluid dynamics-II. Solutions to parabolic, hyperbolic and elliptic partial differential equations", Computers and Mathematics with Applications, Vol.19, pp. 147-161
    • (1990) Computers and Mathematics with Applications , vol.19 , pp. 147-161
    • Kansa, E.J.1
  • 14
    • 0035479857 scopus 로고    scopus 로고
    • The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation
    • Karageorghis, A. (2001), "The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation", Applied Mathematics Letters, Vol.14, pp. 837-842
    • (2001) Applied Mathematics Letters , vol.14 , pp. 837-842
    • Karageorghis, A.1
  • 15
    • 0033687730 scopus 로고    scopus 로고
    • The method of fundamental solutions for axisymmetric elasticity problems
    • Karageorghis, A. and Fairweather, G. (2000), "The method of fundamental solutions for axisymmetric elasticity problems", Computational Mechanics, Vol.25, pp. 524-532
    • (2000) Computational Mechanics , vol.25 , pp. 524-532
    • Karageorghis, A.1    Fairweather, G.2
  • 17
    • 0000678579 scopus 로고
    • The approximate solution of elliptic boundary-value problems by fundamental solutions
    • Mathon, R. and Johnston, R.L. (1977), "The approximate solution of elliptic boundary-value problems by fundamental solutions", SIAM Journal on Numerical Analysis, Vol.14, pp. 638-650
    • (1977) SIAM Journal on Numerical Analysis , vol.14 , pp. 638-650
    • Mathon, R.1    Johnston, R.L.2
  • 18
    • 1842864920 scopus 로고    scopus 로고
    • The method of fundamental solutions with dual reciprocity for some problems in elasticity
    • Medeiros, G.C., Partridge, P.W. and Brandão, J.O. (2004), "The method of fundamental solutions with dual reciprocity for some problems in elasticity", Engineering Analysis with Boundary Elements, Vol.28, pp. 453-461
    • (2004) Engineering Analysis with Boundary Elements , vol.28 , pp. 453-461
    • Medeiros, G.C.1    Partridge, P.W.2    Brandão, J.O.3
  • 19
    • 0001476575 scopus 로고
    • A new approach for free vibration analysis using boundary elements
    • in Brebbia, C.A. (Ed.), Springer, Berlin
    • Nardini, D. and Brebbia, C.A. (1982), "A new approach for free vibration analysis using boundary elements", in Brebbia, C.A. (Ed.), Boundary Element Methods in Engineering Proceedings, Springer, Berlin, pp. 312-326
    • (1982) Boundary Element Methods in Engineering Proceedings , pp. 312-326
    • Nardini, D.1    Brebbia, C.A.2
  • 20
    • 0036465594 scopus 로고    scopus 로고
    • The method of fundamental solutions for three-dimensional elastostatics problems
    • Poullikas, A., Karageorghis, A. and Georgiou, G. (2002), "The method of fundamental solutions for three-dimensional elastostatics problems", Computers and Structures, Vol.80, pp. 365-370
    • (2002) Computers and Structures , vol.80 , pp. 365-370
    • Poullikas, A.1    Karageorghis, A.2    Georgiou, G.3
  • 21
    • 0036860667 scopus 로고    scopus 로고
    • Method of fundamental solutions: singular value decomposition analysis
    • Ramachandran, P.A. (2002), "Method of fundamental solutions: singular value decomposition analysis", Communications in Numerical Methods in Engineering, Vol.18, pp. 789-801.
    • (2002) Communications in Numerical Methods in Engineering , vol.18 , pp. 789-801
    • Ramachandran, P.A.1
  • 22
    • 0020194553 scopus 로고
    • Fundamental solutions for the collocation method in planar elastostatics
    • Redekop, D. (1982), "Fundamental solutions for the collocation method in planar elastostatics", Applied Mathematical Modelling, Vol.6, pp. 390-393
    • (1982) Applied Mathematical Modelling , vol.6 , pp. 390-393
    • Redekop, D.1
  • 23
    • 0023174506 scopus 로고
    • Fundamental solutions for the collocation method for three-dimensional elastostatics
    • Redekop, D. and Cheung, R.S.W. (1987), "Fundamental solutions for the collocation method for three-dimensional elastostatics", Computers and Structures, Vol.26, pp. 703-707
    • (1987) Computers and Structures , vol.26 , pp. 703-707
    • Redekop, D.1    Cheung, R.S.W.2
  • 24
    • 0020607273 scopus 로고
    • Use of fundamental solutions in the collocation method in axisymetric elastostatics
    • Redekop, D. and Thompson, J.C. (1983), "Use of fundamental solutions in the collocation method in axisymetric elastostatics", Computers and Structures, Vol.17, pp. 485-490
    • (1983) Computers and Structures , vol.17 , pp. 485-490
    • Redekop, D.1    Thompson, J.C.2
  • 25
    • 33846463425 scopus 로고    scopus 로고
    • Investigations on the accuracy and condition number for the method of fundamental solutions
    • Tsai, C.C., Lin, Y.C., Young, D.L. and Atluri, S.N. (2006a), "Investigations on the accuracy and condition number for the method of fundamental solutions", Computer Modeling in Engineering & Sciences, Vol.16, pp. 103-114
    • (2006) Computer Modeling in Engineering & Sciences , vol.16 , pp. 103-114
    • Tsai, C.C.1    Lin, Y.C.2    Young, D.L.3    Atluri, S.N.4
  • 26
    • 33749371883 scopus 로고    scopus 로고
    • The method of fundamental solutions for eigenproblems in domains with and without interior holes
    • Tsai, C.C., Young, D.L., Chen, C.W. and Fan, C.M. (2006b), "The method of fundamental solutions for eigenproblems in domains with and without interior holes", Proceedings of the Royal Society of London. Series A, Vol.462, pp. 1443-1466
    • (2006) Proceedings of the Royal Society of London. Series A , vol.462 , pp. 1443-1466
    • Tsai, C.C.1    Young, D.L.2    Chen, C.W.3    Fan, C.M.4
  • 27
    • 20344402529 scopus 로고    scopus 로고
    • Novel meshless method for solving the potential problems with arbitrary domain
    • Young, D.L., Chen, K.H. and Lee, C.W. (2005), "Novel meshless method for solving the potential problems with arbitrary domain", Journal of Computational Physics, Vol.209, pp. 290-321.
    • (2005) Journal of Computational Physics , vol.209 , pp. 290-321
    • Young, D.L.1    Chen, K.H.2    Lee, C.W.3
  • 28
    • 34250213281 scopus 로고    scopus 로고
    • A modified method of fundamental solutions with source on the boundary for solving Laplace equation with circular and arbitrary domains
    • Young, D.L., Chen, K.H., Chen, J.T. and Kao, J.H. (2007), "A modified method of fundamental solutions with source on the boundary for solving Laplace equation with circular and arbitrary domains", Computer Modeling in Engineering & Science, Vol.19, pp. 197-221.
    • (2007) Computer Modeling in Engineering & Science , vol.19 , pp. 197-221
    • Young, D.L.1    Chen, K.H.2    Chen, J.T.3    Kao, J.H.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.