Biomedical Engineering Reference
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8. Belytschko T, Lu YY, Gu L (1994) Element-free galerkin method. Int J Numer Meth Eng
37:229-256
9. Gingold RA, Monaghan JJ (1977) Smoothed particle hydrodynamics: theory and applications
to non-spherical stars. Mon Not Astron Soc 181:375-389
10. Liu WK, Jun S, Zhang YF (1995) Reproducing kernel particle methods. Int J Numer Meth
Fluids 20(6):1081-1106
11. Atluri SN, Zhu T (1998) A new meshless local Petrov-Galerkin (MLPG) approach in
computational mechanics. Comput Mech 22(2):117-127
12. De S, Bathe KJ (2000) The method of finite spheres. Comput Mech 25(4):329-345
13. Oñate E, Idelsohn S, Zienkiewicz OC, Taylor RL, Sacco CA (1996) A stabilized finite point
method
for
analysis
of fluid
mechanics
problems.
Comput
Methods
Appl
Mech
Eng
139(1-4):315-346
14. Oñate E, Idelsohn S, Zienkiewicz OC, Taylor RL (1996) A finite point method in
computational mechanics—applications to convective transport and fluid flow. Int J Numer
Meth Eng 39:3839-3866
15. Oñate E, Perazzo F, Miquel J (2001) A finite point method for elasticity problems. Comput
Struct 79(22-25):2151-2163
16. Kansa EJ (1990) Multiquadrics-a scattered data approximation scheme with applications to
computational fluid-dynamics-I surface approximations and partial derivative estimates.
Comput Math Appl 19(8-9):127-145
17. Kansa EJ (1990) 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
18. Hardy RL (1990) Theory and applications of the multiquadrics - Biharmonic method (20
years of discovery 1968-1988). Comput Math Appl 19(8-9): 163-208
19. Ferreira AJM, Roque CMC, Martins PALS (2004) Radial basis functions and higher-order
shear deformation theories in the analysis of laminated composite beams and plates. Compos
Struct 66(1-4):287-293
20. Tiago CM, Leitão VMA (2006) Application of radial basis functions to linear and nonlinear
structural analysis problems. Comput Math Appl 51(8):1311-1334
21. Liu GR, Gu YT (2001) A point interpolation method for two-dimensional solids. Int J Numer
Meth Eng 50:937-951
22. Liu GR (2002) A point assembly method for stress analysis for two-dimensional solids. Int J
Solid Struct 39:261-276
23. Wang JG, Liu GR (2002) A point interpolation meshless method based on radial basis
functions. Int J Numer Meth Eng 54:1623-1648
24. Wang JG, Liu GR (2002) On the optimal shape parameters of radial basis functions used for
2-D meshless methods. Comput Methods Appl Mech Eng 191:2611-2630
25. Sergio R, Idelsohn S, Oñate E, Calvo N, Del Pin F (2003) The meshless finite element
method. Int J Numer Meth Eng 58(6):893-912
26. Traversoni L (1994) Natural neighbour finite elements. In: International conference on
hydraulic
engineering
software.
Hydrosoft
proceedings
of
computational
mechanics
publications, vol 2, pp 291-297
27. Sukumar N, Moran B, Semenov AY, Belikov VV (2001) Natural neighbour Galerkin
methods. Int J Numer Meth Eng 50(1):1-27
28. Braun J, Sambridge M (1995) A numerical method for solving partial differential equations
on highly irregular evolving grids. Nature 376:655-660
29. Sukumar N, Moran B, Belytschko T (1998) The natural element method in solid mechanics.
Int J Numer Meth Eng 43(5):839-887
30. Cueto E, Doblaré M, Gracia L (2000) Imposing essential boundary conditions in the natural
element method by means of density-scaled -shapes. Int J Numer Meth Eng 49(4):519-546
31. Dinis LMJS, Jorge RMN, Belinha J (2007) Analysis of 3D solids using the natural neighbour
radial point interpolation method. Comput Methods Appl Mech Eng 196(13-16):2009-2028
