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Volumn 13, Issue 3, 2006, Pages 367-377

A meshless method for non-linear Poisson problems with high gradients

Author keywords

Fundamental solution; High gradients; Meshless method; RBF

Indexed keywords

BOUNDARY CONDITIONS; NUMERICAL METHODS; POISSON EQUATION; POLYNOMIALS; PROBLEM SOLVING; RADIAL BASIS FUNCTION NETWORKS;

EID: 33846981853     PISSN: 1232308X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (9)

References (11)
  • 1
    • 85183430449 scopus 로고
    • Smoothed particle hydrodynamics: Theory and application to non-spherical stars
    • R.A. Gingold, J.J. Monaghan. Smoothed particle hydrodynamics: theory and application to non-spherical stars. Monthly Notices Roy. Astron. Soc., 181, 1977.
    • (1977) Monthly Notices Roy. Astron. Soc , vol.181
    • Gingold, R.A.1    Monaghan, J.J.2
  • 3
    • 0001018295 scopus 로고
    • Multiquadric equations of topography and other irregular surfaces
    • R.L. Hardy. Multiquadric equations of topography and other irregular surfaces. Geophysical Research, 170: 1905-1915, 1971.
    • (1971) Geophysical Research , vol.170 , pp. 1905-1915
    • Hardy, R.L.1
  • 4
    • 0025229330 scopus 로고
    • Multiquadrics - a scattered data approximation scheme with applications to computational fluid dynamics. Part I surface approximations and partial derivative estimates
    • E.J. Kansa. Multiquadrics - a scattered data approximation scheme with applications to computational fluid dynamics. Part I surface approximations and partial derivative estimates. Computers and Mathematics with Applications, 19(8/9):127-145, 1990.
    • (1990) Computers and Mathematics with Applications , vol.19 , Issue.8-9 , pp. 127-145
    • Kansa, E.J.1
  • 5
    • 0025210711 scopus 로고
    • Multiquadrics - a scattered data approximation scheme with applications to computational fluid dynamics. Part II solutions to parabolic, hyperbolic and elliptic partial differential equations
    • E.J. Kansa. Multiquadrics - a scattered data approximation scheme with applications to computational fluid dynamics. Part II solutions to parabolic, hyperbolic and elliptic partial differential equations. Computers and Mathematics with Applications, 19(8/9): 147-161, 1990.
    • (1990) Computers and Mathematics with Applications , vol.19 , Issue.8-9 , pp. 147-161
    • Kansa, E.J.1
  • 7
    • 2842547280 scopus 로고    scopus 로고
    • Overview and applications of the reproducing kernel particle methods
    • W.K. Liu et al. Overview and applications of the reproducing kernel particle methods. Arch. Comput. Methods Engrg.: State Art Rev., 3: 3-80, 1996.
    • (1996) Arch. Comput. Methods Engrg.: State Art Rev , vol.3 , pp. 3-80
    • Liu, W.K.1
  • 8
    • 0028400170 scopus 로고
    • A new implementation of the element-free Galerkin method
    • Y. Lu, T. Belytschko, L. Gu. A new implementation of the element-free Galerkin method. Comput. Methods Appl. Mech. Engrg., 113: 397-414, 1994.
    • (1994) Comput. Methods Appl. Mech. Engrg , vol.113 , pp. 397-414
    • Lu, Y.1    Belytschko, T.2    Gu, L.3
  • 9
    • 0001476575 scopus 로고
    • A new approach to free vibration analysis using boundary elements
    • Computational Mechanics Publications, Southampton
    • D. Nardini, C. Brebbia. A new approach to free vibration analysis using boundary elements. Boundary Element Methods in Engineering. Computational Mechanics Publications, Southampton, 1982.
    • (1982) Boundary Element Methods in Engineering
    • Nardini, D.1    Brebbia, C.2
  • 10
    • 0027035536 scopus 로고
    • Generalizing the finite clement method: Diffuse approximation and diffuse elements
    • B. Nayroles, G. Touzot, P. Villon. Generalizing the finite clement method: Diffuse approximation and diffuse elements. Comput. Mech., 10: 307-318, 1992.
    • (1992) Comput. Mech , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 11
    • 0032071696 scopus 로고    scopus 로고
    • A mesh-free finite point method for advective-diffusive transport and fluid flow problems
    • E. Oñate S.R. Idelsohn. A mesh-free finite point method for advective-diffusive transport and fluid flow problems. Comput. Mech., 21: 283-292, 1998.
    • (1998) Comput. Mech , vol.21 , pp. 283-292
    • Oñate, E.1    Idelsohn, S.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.