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Volumn 32, Issue 6, 2008, Pages 480-493

A time-marching MFS scheme for heat conduction problems

Author keywords

Finite differences; Heat conduction problems; Meshfree method; Method of fundamental solutions

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; FINITE DIFFERENCE METHOD; FUNCTION EVALUATION; PROBLEM SOLVING;

EID: 43649087358     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2007.10.012     Document Type: Article
Times cited : (27)

References (28)
  • 1
    • 0003228130 scopus 로고    scopus 로고
    • Partial differential equations
    • AMS, Providence, RI
    • Evans L.C. Partial differential equations. Graduate studies in mathematics vol. 19 (1998), AMS, Providence, RI
    • (1998) Graduate studies in mathematics , vol.19
    • Evans, L.C.1
  • 2
    • 0000750874 scopus 로고
    • The Dirichlet to Neumann map and applications
    • Colton D., Ewing R., and Rundell W. (Eds), SIAM, Philadelphia, PA
    • Sylvester J., and Uhlmann G. The Dirichlet to Neumann map and applications. In: Colton D., Ewing R., and Rundell W. (Eds). Inverse problems in partial differential equations (1990), SIAM, Philadelphia, PA 101-139
    • (1990) Inverse problems in partial differential equations , pp. 101-139
    • Sylvester, J.1    Uhlmann, G.2
  • 4
    • 43649097721 scopus 로고    scopus 로고
    • Comsol Multiphysics Quik Start and Quick Reference. 2005; Version 3.2.
    • Comsol Multiphysics Quik Start and Quick Reference. 2005; Version 3.2.
  • 5
    • 0003271249 scopus 로고
    • Numerical partial differential equations: finite difference methods
    • Springer, Berlin
    • Thomas J.W. Numerical partial differential equations: finite difference methods. TAM vol. 22 (1995), Springer, Berlin
    • (1995) TAM , vol.22
    • Thomas, J.W.1
  • 6
    • 0000776101 scopus 로고    scopus 로고
    • The method of fundamental solutions for potential Helmholtz and diffusion problems
    • Golberg M.A. (Ed), WIT Press
    • Golberg M.A., and Chen C.S. The method of fundamental solutions for potential Helmholtz and diffusion problems. In: Golberg M.A. (Ed). Boundary integral methods and mathematical aspects (1999), WIT Press 105-176
    • (1999) Boundary integral methods and mathematical aspects , pp. 105-176
    • Golberg, M.A.1    Chen, C.S.2
  • 7
    • 0042450627 scopus 로고    scopus 로고
    • The method of fundamental solutions for diffusion equations
    • Chen C.S., Brebbia C.A., and Pepper D.W. (Eds), WIT Press, Boston, Southampton
    • Golberg M.A., Chen C.S., and Muleshkov A.S. The method of fundamental solutions for diffusion equations. In: Chen C.S., Brebbia C.A., and Pepper D.W. (Eds). Boundary Element Technology XIII (1999), WIT Press, Boston, Southampton 377-386
    • (1999) Boundary Element Technology XIII , pp. 377-386
    • Golberg, M.A.1    Chen, C.S.2    Muleshkov, A.S.3
  • 8
    • 0025210711 scopus 로고
    • Multiquadrics: a scattered data approximation scheme with applications to computational fluid-dynamics-II. Solutions to hyperbolic, parabolic and elliptic partial differential equations
    • Kansa E.J. Multiquadrics: a scattered data approximation scheme with applications to computational fluid-dynamics-II. Solutions to hyperbolic, parabolic and elliptic partial differential equations. Comput Math Appl 19 (1990) 147-161
    • (1990) Comput Math Appl , vol.19 , pp. 147-161
    • Kansa, E.J.1
  • 9
    • 33748444430 scopus 로고
    • The method of fundamental equations for the approximate solution of certain boundary value problems
    • Kupradze V.D., and Aleksidze M.A. The method of fundamental equations for the approximate solution of certain boundary value problems. USSR Comput Math Math Phys 4 (1964) 82-126
    • (1964) USSR Comput Math Math Phys , vol.4 , pp. 82-126
    • Kupradze, V.D.1    Aleksidze, M.A.2
  • 10
    • 0022107918 scopus 로고
    • Fundamental solutions method for elliptic boundary value problems
    • Bogomolny A. Fundamental solutions method for elliptic boundary value problems. SIAM J Numer Anal 22 (1985) 644-669
    • (1985) SIAM J Numer Anal , vol.22 , pp. 644-669
    • Bogomolny, A.1
  • 11
    • 0002411105 scopus 로고
    • Plane stress analysis by a general integral method
    • Arantes e Oliveira E.R. Plane stress analysis by a general integral method. Proc ASCE Eng Mech Div 94 (1968) 79-101
    • (1968) Proc ASCE Eng Mech Div , vol.94 , pp. 79-101
    • Arantes e Oliveira, E.R.1
  • 12
    • 0041950033 scopus 로고    scopus 로고
    • Some aspects of the method of fundamental solutions for certain harmonic problems
    • Smyrlis Y.-S., and Karageorghis A. Some aspects of the method of fundamental solutions for certain harmonic problems. J Sci Comput 16 (2001) 341-371
    • (2001) J Sci Comput , vol.16 , pp. 341-371
    • Smyrlis, Y.-S.1    Karageorghis, A.2
  • 13
    • 3142703789 scopus 로고    scopus 로고
    • Numerical analysis of the MFS for certain harmonic problems
    • Smyrlis Y.-S., and Karageorghis A. Numerical analysis of the MFS for certain harmonic problems. M2AN Math Model Numer Anal 38 (2004) 495-517
    • (2004) M2AN Math Model Numer Anal , vol.38 , pp. 495-517
    • Smyrlis, Y.-S.1    Karageorghis, A.2
  • 15
    • 33646126066 scopus 로고    scopus 로고
    • Three-dimensional fundamental solutions for transient heat transfer by conduction in an unbounded medium, half-space, slab and layered media
    • Tadeu A., and Simões N. Three-dimensional fundamental solutions for transient heat transfer by conduction in an unbounded medium, half-space, slab and layered media. Eng Anal Boundary Elem 30 (2006) 338-349
    • (2006) Eng Anal Boundary Elem , vol.30 , pp. 338-349
    • Tadeu, A.1    Simões, N.2
  • 16
    • 0001624669 scopus 로고
    • Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
    • Malgrange B. Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution. Ann Inst Fourier (Grenoble) 6 (1955/56) 271-355
    • (1955) Ann Inst Fourier (Grenoble) , vol.6 , pp. 271-355
    • Malgrange, B.1
  • 17
    • 0012189167 scopus 로고
    • Solution of some problems of division. Part I. Division by a polynomial of derivation
    • Ehrenpreis L. Solution of some problems of division. Part I. Division by a polynomial of derivation. Am J Math 76 (1954) 883-903
    • (1954) Am J Math , vol.76 , pp. 883-903
    • Ehrenpreis, L.1
  • 18
    • 0032687680 scopus 로고    scopus 로고
    • Particular solution of Helmholtz-type operators using higher order polyharmonic splines
    • Muleshkov A.S., Golberg M.A., and Chen C.S. Particular solution of Helmholtz-type operators using higher order polyharmonic splines. Comp Mech 23 (1999) 411-419
    • (1999) Comp Mech , vol.23 , pp. 411-419
    • Muleshkov, A.S.1    Golberg, M.A.2    Chen, C.S.3
  • 19
    • 0343826595 scopus 로고    scopus 로고
    • Particular solutions of the 3D modified Helmholtz-type equations using compactly supported radial basis functions
    • Golberg M.A., Chen C.S., and Ganesh M. Particular solutions of the 3D modified Helmholtz-type equations using compactly supported radial basis functions. Eng Anal Boundary Elem 24 (2000) 539-547
    • (2000) Eng Anal Boundary Elem , vol.24 , pp. 539-547
    • Golberg, M.A.1    Chen, C.S.2    Ganesh, M.3
  • 20
    • 0034297885 scopus 로고    scopus 로고
    • The method of fundamental solution with dual reciprocity for diffusion and diffusion-convection using subdomains
    • Partridge P.W., and Sensale B. The method of fundamental solution with dual reciprocity for diffusion and diffusion-convection using subdomains. Eng Anal Boundary Elem 24 (2000) 633-641
    • (2000) Eng Anal Boundary Elem , vol.24 , pp. 633-641
    • Partridge, P.W.1    Sensale, B.2
  • 21
    • 16244373690 scopus 로고    scopus 로고
    • A new method of fundamental solutions applied to nonhomogeneous elliptic problems
    • Alves C.J.S., and Chen C.S. A new method of fundamental solutions applied to nonhomogeneous elliptic problems. Adv Comput Math 23 (2005) 125-142
    • (2005) Adv Comput Math , vol.23 , pp. 125-142
    • Alves, C.J.S.1    Chen, C.S.2
  • 22
    • 18144429438 scopus 로고    scopus 로고
    • Numerical Comparison of two mesfree methods for acoustic wave scattering
    • Alves C.J.S., and Valtchev S.S. Numerical Comparison of two mesfree methods for acoustic wave scattering. Eng Anal Boundary Elem 29 (2005) 371-382
    • (2005) Eng Anal Boundary Elem , vol.29 , pp. 371-382
    • Alves, C.J.S.1    Valtchev, S.S.2
  • 24
    • 3142665261 scopus 로고    scopus 로고
    • Density results for the Helmholtz equation and the MFS
    • Atluri S., and Brust F. (Eds), Tech Science Press, Los Angeles
    • Alves C.J.S. Density results for the Helmholtz equation and the MFS. In: Atluri S., and Brust F. (Eds). Advances in computational engineering and sciences vol. I (2000), Tech Science Press, Los Angeles 45-50
    • (2000) Advances in computational engineering and sciences , vol.I , pp. 45-50
    • Alves, C.J.S.1
  • 25
    • 0000217883 scopus 로고
    • Asymptotic error analysis of the charge simulation method in a Jordan region with an analytic boundary
    • Katsurada M. Asymptotic error analysis of the charge simulation method in a Jordan region with an analytic boundary. J Fac Sci Univ Tokyo 37 (1990) 635-657
    • (1990) J Fac Sci Univ Tokyo , vol.37 , pp. 635-657
    • Katsurada, M.1
  • 28
    • 0036605241 scopus 로고    scopus 로고
    • Symmetry boundary knot method
    • Chen W., and Tanaka M. Symmetry boundary knot method. Eng Anal Boundary Elem 26 (2002) 489-494
    • (2002) Eng Anal Boundary Elem , vol.26 , pp. 489-494
    • Chen, W.1    Tanaka, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.