Error estimate of element-free Galerkin method for elasticity

Wuli Xuebao/Acta Physica Sinica

Volumn 60, Issue 7, 2011, Pages

  Cheng, Rong Jun ^a,b   Cheng, Yu Min ^b  

^a ZHEJIANG UNIVERSITY   (China)

^b SHANGHAI UNIVERSITY   (China)

Author keywords

Elasticity; Element free Galerkin method; Error estimate; Meshless method

Indexed keywords

EID: 79961107471     PISSN: 10003290     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (42)

1. Belytschko T, Krongauz Y 1996 Computer Methods in Applied Mechanics and Engineering 139 3.
2. Cheng R J, Ge H X 2009 Chin. Phys. B 18 4059.
3. Wang J F, Sun F X, Cheng R J 2010 Chin. Phys. B 19 1.
4. Cheng R J, Cheng Y M 2008 Acta Phys. Sin. 57 6037 (in Chinese).
5. Cheng R J, Cheng Y M 2007 Acta Phys. Sin. 56 5569 (in Chinese).
6. Liu W K, Jun S, Zhang Y F 1995 International Journal for Numerical Methods in Engineering 20 1081.
7. Cheng R J, Ge H X 2010 Chin. Phys. B 19 090201.
8. Duarte C A, Oden J T 1996 Computer Methods in Applied Mechanics and Engineering 139 237.
9. Onate E, Idelsohn S, Zienkiewicz O C 1996 International Journal for Numerical Methods in Engineering 39 3839.
10. Atluri S N, Zhu T 1998 Computational Mechanics 22 117.
11. Aluru N R 2000 International Journal for Numerical Methods in Engineering 47 1083.
12. Liu W K, Chen Y J 1995 International Journal for Numerical Methods in Fluids 21 901.
13. Idelsohn S R, Onate E, Calvo N 2003 International Journal for Numerical Methods in Engineering 58 893.
14. Cheng Y M, Peng M J, Li J H 2005 Acta Mechanica Sinica 37 719 (in Chinese).
15. Cheng Y M, Li J H 2005 Acta Phys. Sin. 54 4463 (in Chinese).
16. Chen L, Cheng Y M 2010 Chin. Phys. B 19 090202.
17. Chen L, Cheng Y M 2008 Acta Phys. Sin. 57 1 (in Chinese).
18. Chen L, Cheng Y M 2008 Acta Phys. Sin. 57 6047 (in Chinese).
19. Peng M J, Cheng Y M 2009 Engineering Analysis with Boundary Elements 23 77.
20. Zhu T, Zhang J D, Atluri S N 1998 Computational Mechanics 21 223.
21. Kothnur V S, Mukherjee S, Mukherjee Y X 1999 International Journal of Solids and Structures 36 1129.
22. Cheng Y M, Cheng M J 2003 Acta Mechanica Sinica 35 181 (in Chinese).
23. Cheng Y M, Peng M J 2005 Science in China 35 435 (in Chinese).
24. Qin Y X, Cheng Y M 2006 Acta Phys. Sin. 55 3215 (in Chinese).
25. Dai B D, Cheng Y M 2007 Acta Phys. Sin. 56 597 (in Chinese).
26. Ren H P, Zhang W 2009 Chin. Phys. B 18 4065.
27. Wendland H 2001 IMA Journal of Numerical analysis 21 285.
28. Armentano M G, Duran R G 2001 Applied Numerical Mathematics 37 397.
29. Armentano M G 2002 SIAM J. Numer. Anal. 39 38.
30. Zuppa C 2003 Bulletin of the Brazilian Mathematical Society 34 231.
31. Krysl P, Belytschko T 1997 Computer Methods in Applied Mechanics and Engineering 148 257.
32. Chung H J, Belytschko T 1998 Computational Mechanics 21 91.
33. Gavete L, Cuesta J L, Ruiz A 2002 International Journal for Numerical Methods in Engineering 53 677.
34. Gavete L, Gavete M L 2003 International Journal for Numerical Methods in Engineering 58 2239.
35. Gavete L, Faclon S 2001 Eur. J. Mech. A/Solids 20 327.
36. Rynne B P 2000 Advances in Computational Mathematics 12 251.
37. Rossi R, Alves M K 2004 Computational Mechanics 33 194.
38. Han W M, Meng X P 2001 Computer Methods in Applied Mechanics and Engineering 190 6157.
39. Cheng R J, Liew K M 2009 Computational Mechanics 45 1.
40. 2004.
41. 1992.
42. Cheng R J, Cheng Y M 2008 Applied Numerical Mathematics 58 884.