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Original Articles

Numerical Simulation of 3-D Potential Problems by Regular Hybrid Boundary Node Method

Pages 111-120 | Received 01 Mar 2007, Accepted 23 Oct 2007, Published online: 22 Jan 2008

REFERENCES

  • Lucy , L. B. 1977 . A Numerical Approach to the Testing of the Fission Hypothesis . Astronomy Journal , vol. 8 : 1013 – 1024 .
  • Nayroles , B. , Touzot , G. and Villon , P. 1992 . Generalizing the Finite Element Method: Diffuse Approximation and Diffuse Element . Comput. Mech. , vol. 10 : 307 – 318 .
  • Belytchko , T. , Lu , Y. Y. and Gu , L. 1994 . Element Free Galerkin Methods . Int. J. Numer. Meth. Engng. , vol. 37 : 229 – 256 .
  • Zhu , T. , Zhang , J. and Atluri , S. N. 1998 . A Local Boundary Integral Equation (LBIE) Method in Computation Mechanics, and a Meshless Discretization Approach . Comput. Mech. , vol. 21 : 223 – 235 .
  • Atluri , S. N. and Zhu , T. 1998 . A New Meshless Local Petrov-Galerkin Approach in Computational Mechanics . Comput. Mech. , vol. 22 : 117 – 127 .
  • Mukherjee , Y. X. and Mukherjee , S. 1997 . The Boundary Node Method for Potential Problems . Int. J. Numer. Meth. Engng. , vol. 40 : 797 – 815 .
  • Zhang , J. M. , Yao , Z. H. and Li , H. 2002 . A Hybrid Boundary Node Method . Int. J. Numer. Meth. Engng. , vol. 53 : 751 – 763 .
  • Zhang , J. M. and Yao , Z. H. 2001 . Meshless Regular Hybrid Boundary Node Method . Computer Modeling in Engineering & Sciences , vol. 2 : 307 – 318 .
  • Zhang , J. M. and Yao , Z. H. 2003 . The Meshless Regular Hybrid Boundary Node Method for 2-D Linear Elasticity . Engineering Analysis with Boundary Elements , vol. 27 : 259 – 268 .
  • Zhang , J. M. and Yao , Z. H. 2002 . Analysis of 2-D Thin Structures by the Meshless Regular Hybrid Boundary Node Method . Acta Mechanica Solida Sinica , vol. 15 : 36 – 44 .
  • Dumount , N. A. The Hybrid Boundary Element Method . Proc. 9th Int. Conf. on BEM. Stuttgart, Computational Mechanics Publications . Southampton .
  • DeFigueredo , T. G.B. and Brebbia , C. A. 1989 . “ A New Hybrid Displacement Variational Formulation of BEM for Elastostatics ” . In Advances in Boundary Elements, Computational Mechanics Publications Edited by: Brebbia , C. A. and Conner , J. J. vol. 1 , 47 – 57 .
  • Schnack , E. 1987 . A Hybrid BEM Model . Int. J. Numer. Meth. Engng. , vol. 24 : 1015 – 1025 .
  • Belytchko , T. , Krongauz , Y. , Organ , D. , Fleming , M. and Krysl , P. 1996 . Meshless Methods: An Overview and Recent Developments . Comput. Meth. Appl. Mech. Engng. , vol. 139 : 3 – 47 .
  • Chati , M. K. and Mukherjee , S. 2000 . The Boundary Node Method for Three-dimensional Problems in Potential Theory . Int. J. Numer. Meth. Engng. , vol. 47 : 1523 – 1547 .
  • Zhu , T. 1999 . A New Meshless Regular Local Boundary Integral equation (MRLBIE) Approach . Int. J. Numer. Meth. Engng. , vol. 46 : 1237 – 1252 .
  • Atluri , S. N. , Kim , H. G. and Cho , J. Y. 1999 . A Critical Assessment of the Truly Meshless Local Petrov-Galerkin (MLPG), and Local Boundary Integral Equation (LBIE) Methods . Comput. Mech. , vol. 24 : 348 – 372 .
  • Zhu , T.-L. , Zhang , J. and Wang , D. 2007 . A Meshless Local Petrov-Galerkin (MLPG) Approach Based on the Regular Local Boundary Integral Equation for Linear Elasticity . International Journal for Computational Methods in Engineering Science and Mechanics , vol. 8 ( 5 ) : 373 – 382 .

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