1 |
Becker. E.B ., Carey. G.F., Oden , J.T.(1981) Finite Elements: An Introduction, Prentice-Hall, Englewood Cliffs, N.J
|
2 |
Belytschko , T ., Lu . Y.Y ., Gu , L.(1994) Element-free Galerkin methods, Internetionel Journal for Numerical Methods in Engineering, 37, pp.229-256
DOI
ScienceOn
|
3 |
Sibson , R.(1980) A vector identity for Dirichlet tessellation, Mathematical Proceedings of the Cambridge Philosophical Society, 87, pp .151-155
|
4 |
Watson. D.F.(1981) Computing the n-dimensional Delaunay tessellation with application to Voronoi polytopes, The Computer Journal, 24, pp. 167-172
DOI
ScienceOn
|
5 |
Zhu , T ., Atluri , S.N.(1998) A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method, Computational Mechanics, 21, pp.211-222
DOI
ScienceOn
|
6 |
Green. P.J ., Sibson , R.(1978) Computing Dirichlet tessellations in the plane, The Computer Journal, 21, pp.168-173
DOI
|
7 |
Duarte. C.A ., Oden , J.T.(1996) An h-p adaptive method using clouds, Computer Methods in Applied Mechanics and Engineering, 139, pp. 237-262
DOI
ScienceOn
|
8 |
Sambridge , M ., Braun. J ., McQueen. H.(1995) Geophysical parameterization and interpolant of irregular data using natural neighbors, Geophysical Journal International, 122, pp,837-857
DOI
ScienceOn
|
9 |
Hivoshi , H ., Sugihara. K.(1999) Two generalizations of an interpolant based on Voronoi diagrams, International Journal of Shape Modeling, 5, pp,219-231
DOI
ScienceOn
|
10 |
Nayroles. B ., Touzot G ., Villon , P. (1992) Generalizing the finite element method: diffuse approximation and diffuse elements, Computational Mechanics, 10, pp.307-318
DOI
|
11 |
Sukumar , N .(1998) The natural element method in solid mechanics, Ph. D. Thesis, Theoretical and Applied Mechanics, Northwestern University, Evanston. IL, U.S.A
|
12 |
Okabe , A ., Boots. B ., Sugihara. K.(1992) Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, John Wiley & Sons, Chichester, England
|
13 |
Atluri, S.N ., Kim. H.G ., Cho , J.Y.(1999) A critical assessment of the truly Meshless Local Petrov-Galerkin (MLPG) and Local Boundary Integral Equation(LBIE) methods, Computational Mechanics. 24, pp.348-372
DOI
ScienceOn
|
14 |
Dolbow. J. , Belytschko , T. (1999 ) Numerical integration of the Galerkin weak form in meshfree methods, Computational mechanics. 23, pp.219-230
DOI
ScienceOn
|
15 |
Melenk. J.M ., Babuska , I.(1996) The partition of unity finite element method: Basic theory and applications, Computer Methods in Applied Mechanics and Engineering, 139, pp,289-314
DOI
ScienceOn
|
16 |
Sukumar , N ., Moran. B ., Yu Semenov. A., Belikov , V.V.(2001) Natural neighbor Galerkin methods, International Journal for Numerical Methods in Engineering, 50, pp, 1-27
DOI
ScienceOn
|
17 |
Liu , W.K ., Jun. J ., Zhang. Y.F.(1995) Reproducing kernel particle methods, International Journal for Numerical Methods in Fluids, 20, pp,1081-1106
DOI
ScienceOn
|
18 |
Krongauz , Y ., Belytschko , T. (1996) Enforcement of essential boundary conditions in meshless approximations using finite elements, Computer Methods in Applied Mechanics and Engineering, 131, pp.133-145
DOI
ScienceOn
|
19 |
Watson. D.F .(1994) nngridr: An implementation of natural neighbor interpolation, David Watson
|
20 |
Belikov , V.V ., Yu Semenov. A.(2000) Non-Sibsonian interpolation on arbitrary system of points in Euclidean space and adaptive isolines generation, Applied Numerical Mathematics, 37, 2000, pp.371-387
DOI
|
21 |
Bower. A,(1981) Computing Dirichlet tessellations, The Computer Journal, 24, pp.162-166
DOI
ScienceOn
|