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Volumn 65, Issue 4, 2006, Pages 566-593

Efficient cubature formulae for MLPG and related methods

Author keywords

Gaussian cubature formulae; Meshless local Petrov Galerkin method; MLPG; MLS; Moving least squares method; Spherical product Lobatto formulae

Indexed keywords

BOUNDARY CONDITIONS; GALERKIN METHODS; INTEGRAL EQUATIONS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; POLYNOMIALS; VECTORS;

EID: 31144461945     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1458     Document Type: Article
Times cited : (12)

References (17)
  • 1
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    • A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    • Atluri SN, Zhu T. A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Computational Mechanics 1998; 22(2):117-127.
    • (1998) Computational Mechanics , vol.22 , Issue.2 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 3
    • 1842864916 scopus 로고    scopus 로고
    • A Wachspress meshless local Petrov-Galerkin method
    • Barry W. A Wachspress meshless local Petrov-Galerkin method. Engineering Analysis with Boundary Elements 2004; 28(5):509-523.
    • (2004) Engineering Analysis With Boundary Elements , vol.28 , Issue.5 , pp. 509-523
    • Barry, W.1
  • 4
    • 0027035536 scopus 로고
    • Generalizing the finite element method: Diffuse approximation and diffuse elements
    • Nayroles B, Touzot G, Villon P. Generalizing the finite element method: diffuse approximation and diffuse elements. Computational Mechanics 1992; 10:307-318.
    • (1992) Computational Mechanics , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 6
    • 0027805906 scopus 로고
    • Reproducing kernel and wavelet particle methods for elastic and plastic problems
    • Benson DJ (ed.). 180/PVP 268 ASME
    • Liu WK, Adee J, Jun S. Reproducing kernel and wavelet particle methods for elastic and plastic problems. In Advanced Computational Methods for Material Modeling, Benson DJ (ed.). 180/PVP 268 ASME, 1993; 175-190.
    • (1993) Advanced Computational Methods for Material Modeling , pp. 175-190
    • Liu, W.K.1    Adee, J.2    Jun, S.3
  • 11
    • 3242696934 scopus 로고    scopus 로고
    • Application of meshless local Petrov-Galerkin (MILPG) to problems with singularities, and material discontinuities, in 3-D elasticity
    • Li Q, Shen S, Han ZD, Atluri SN. Application of meshless local Petrov-Galerkin (MILPG) to problems with singularities, and material discontinuities, in 3-D elasticity. CMES-Computer Modeling in Engineering and Sciences 2003; 4(5):571-585.
    • (2003) CMES-Computer Modeling in Engineering and Sciences , vol.4 , Issue.5 , pp. 571-585
    • Li, Q.1    Shen, S.2    Han, Z.D.3    Atluri, S.N.4
  • 12
    • 84966237423 scopus 로고
    • Surfaces generated by moving least squares methods
    • Lancaster P, Salkauskas K. Surfaces generated by moving least squares methods. Mathematics of Computation 1981; 37(155):141-158.
    • (1981) Mathematics of Computation , vol.37 , Issue.155 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.