메뉴 건너뛰기




Volumn 54, Issue 2, 2010, Pages 261-278

Efficient Kansa-type MFS algorithm for elliptic problems

Author keywords

Circulant matrices; Elliptic boundary value problems; Fast Fourier transforms; Method of fundamental solutions

Indexed keywords


EID: 77952008636     PISSN: 10171398     EISSN: 15729265     Source Type: Journal    
DOI: 10.1007/s11075-009-9334-8     Document Type: Article
Times cited : (10)

References (20)
  • 1
    • 69249220031 scopus 로고    scopus 로고
    • On the choice of source points in the method of fundamental solutions
    • Alves, C. J. S.: On the choice of source points in the method of fundamental solutions. Eng. Anal. Bound. Elem. 33, 1348-1361 (2009).
    • (2009) Eng. Anal. Bound. Elem. , vol.33 , pp. 1348-1361
    • Alves, C.J.S.1
  • 2
    • 16244373690 scopus 로고    scopus 로고
    • A new method of fundamental solutions applied to nonhomogeneous elliptic problems
    • Alves, C. J. S., Chen, C. S.: A new method of fundamental solutions applied to nonhomogeneous elliptic problems. Adv. Comput. Math. 23, 125-142 (2005).
    • (2005) Adv. Comput. Math. , vol.23 , pp. 125-142
    • Alves, C.J.S.1    Chen, C.S.2
  • 3
    • 84964033496 scopus 로고    scopus 로고
    • A Kansa type method using fundamental solutions applied to elliptic PDEs
    • V. M. A. Leitão, C. J. S. Alves, and C. Armando Duarte (Eds.), Dordrecht: Springer
    • Alves, C. J. S., Valtchev, S. S.: A Kansa type method using fundamental solutions applied to elliptic PDEs. In: Leitão, V. M. A., Alves, C. J. S., Armando Duarte, C. (eds.) Advances in Meshfree Techniques, Computational Methods in Applied Sciences, pp. 241-256. Springer, Dordrecht (2007).
    • (2007) Advances in Meshfree Techniques, Computational Methods in Applied Sciences , pp. 241-256
    • Alves, C.J.S.1    Valtchev, S.S.2
  • 4
    • 38249002591 scopus 로고
    • Matrix decomposition algorithms for separable elliptic boundary value problems in two dimensions
    • Bialecki, B., Fairweather, G.: Matrix decomposition algorithms for separable elliptic boundary value problems in two dimensions. J. Comput. Appl. Math. 46, 369-386 (1993).
    • (1993) J. Comput. Appl. Math. , vol.46 , pp. 369-386
    • Bialecki, B.1    Fairweather, G.2
  • 6
    • 0032344733 scopus 로고    scopus 로고
    • The method of fundamental solutions for elliptic boundary value problems
    • Fairweather, G., Karageorghis, A.: The method of fundamental solutions for elliptic boundary value problems. Adv. Comput. Math. 9, 69-95 (1998).
    • (1998) Adv. Comput. Math. , vol.9 , pp. 69-95
    • Fairweather, G.1    Karageorghis, A.2
  • 7
    • 0041621774 scopus 로고    scopus 로고
    • The method of fundamental solutions for scattering and radiation problems
    • Fairweather, G., Karageorghis, A., Martin, P. A.: The method of fundamental solutions for scattering and radiation problems. Eng. Anal. Bound. Elem. 27, 759-769 (2003).
    • (2003) Eng. Anal. Bound. Elem. , vol.27 , pp. 759-769
    • Fairweather, G.1    Karageorghis, A.2    Martin, P.A.3
  • 9
    • 0000776101 scopus 로고    scopus 로고
    • The method of fundamental solutions for potential, Helmholtz and diffusion problems
    • M. A. Golberg (Ed.), Boston: WIT/Computational Mechanics
    • Golberg, M. A., 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, pp. 103-176. WIT/Computational Mechanics, Boston (1999).
    • (1999) Boundary Integral Methods and Mathematical Aspects , pp. 103-176
    • Golberg, M.A.1    Chen, C.S.2
  • 10
    • 36048958473 scopus 로고    scopus 로고
    • Some remarks concerning the shape of the source contour with application of the method of fundamental solutions to elastic torsion of prismatic rods
    • Gorzelańczyk, P., Kołodziej, J. A.: Some remarks concerning the shape of the source contour with application of the method of fundamental solutions to elastic torsion of prismatic rods. Eng. Anal. Bound. Elem. 32, 64-75 (2008).
    • (2008) Eng. Anal. Bound. Elem. , vol.32 , pp. 64-75
    • Gorzelańczyk, P.1    Kołodziej, J.A.2
  • 11
    • 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 hyperbolic and elliptic partial differential equations
    • Kansa, E. J.; Multiquadrics-a scattered data approximation scheme with applications to computational fluid-dynamics-II. Solutions to parabolic, hyperbolic and elliptic partial differential equations. Comput. Math. Appl. 19(8/9), 147-161 (1990).
    • (1990) Comput. Math. Appl. , vol.19 , Issue.8-9 , pp. 147-161
    • Kansa, E.J.1
  • 12
    • 63049089032 scopus 로고    scopus 로고
    • Efficient MFS algorithms in regular polygonal domains
    • Karageorghis, A.: Efficient MFS algorithms in regular polygonal domains. Numer. Algorithms 50, 215-240 (2009).
    • (2009) Numer. Algorithms , vol.50 , pp. 215-240
    • Karageorghis, A.1
  • 13
    • 77952010032 scopus 로고    scopus 로고
    • A practical algorithm for determining the optimal pseudoboundary in the MFS
    • Karageorghis, A.: A practical algorithm for determining the optimal pseudoboundary in the MFS. Adv. Appl. Math. Mech. 1, 510-528 (2009).
    • (2009) Adv. Appl. Math. Mech. , vol.1 , pp. 510-528
    • Karageorghis, A.1
  • 14
    • 33846783143 scopus 로고    scopus 로고
    • A matrix decomposition RBF algorithm: Approximation of functions and their derivatives
    • Karageorghis, A., Chen, C. S., Smyrlis, Y.-S.: A matrix decomposition RBF algorithm: Approximation of functions and their derivatives. Appl. Numer. Math. 57, 304-319 (2007).
    • (2007) Appl. Numer. Math. , vol.57 , pp. 304-319
    • Karageorghis, A.1    Chen, C.S.2    Smyrlis, Y.-S.3
  • 15
    • 69249205357 scopus 로고    scopus 로고
    • Matrix decomposition RBF algorithm for solving 3D elliptic problems
    • Karageorghis, A., Chen, C. S., Smyrlis, Y.-S.: Matrix decomposition RBF algorithm for solving 3D elliptic problems. Eng. Anal. Bound. Elem. 33, 1368-1373 (2009).
    • (2009) Eng. Anal. Bound. Elem. , vol.33 , pp. 1368-1373
    • Karageorghis, A.1    Chen, C.S.2    Smyrlis, Y.-S.3
  • 16
    • 69249225535 scopus 로고    scopus 로고
    • Matrix decomposition algorithms related to the MFS for axisymmetric problems
    • G. D. Manolis and D. Polyzos (Eds.), New York: Springer
    • Karageorghis, A., Smyrlis, Y.-S.: Matrix decomposition algorithms related to the MFS for axisymmetric problems. In: Manolis, G. D., Polyzos, D. (eds.) Recent Advances in Boundary Element Methods, pp. 223-237. Springer, New York (2009).
    • (2009) Recent Advances in Boundary Element Methods , pp. 223-237
    • Karageorghis, A.1    Smyrlis, Y.-S.2
  • 17
    • 33646856527 scopus 로고    scopus 로고
    • The MathWorks: MATLAB
    • Natick
    • The MathWorks: MATLAB. The MathWorks, Natick (2009).
    • (2009) The MathWorks
  • 18
    • 0041950033 scopus 로고    scopus 로고
    • Some aspects of the method of fundamental solutions for certain harmonic problems
    • Smyrlis, Y.-S., Karageorghis, A.: Some aspects of the method of fundamental solutions for certain harmonic problems. J. Sci. Comput. 16, 341-371 (2001).
    • (2001) J. Sci. Comput. , vol.16 , pp. 341-371
    • Smyrlis, Y.-S.1    Karageorghis, A.2
  • 20
    • 43649087358 scopus 로고    scopus 로고
    • A time-marching MFS scheme for heat conduction problems
    • Valtchev, S. S., Roberty, N. C.: A time-marching MFS scheme for heat conduction problems. Eng. Anal. Bound. Elem. 32, 480-493 (2008).
    • (2008) Eng. Anal. Bound. Elem. , vol.32 , pp. 480-493
    • Valtchev, S.S.1    Roberty, N.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.