A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics

Computational Mechanics

Volumn 22, Issue 2, 1998, Pages 117-127

  Atluri, S N ^a   Zhu, T ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; INTEGRAL EQUATIONS; LEAST SQUARES APPROXIMATIONS; MECHANICS;

LINEAR POTENTIAL PROBLEMS; LOCAL SYMMETRIC WEAK FORM; MESHLESS METHOD;

GALERKIN METHODS;

EID: 0032136132     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050346     Document Type: Article

References (8)

1. Belytschko T, Lu YY, Gu L (1994) Element-free Galerkin methods. Int. J. Numer. Methods Eng. 37:229-256
2. Liu WK, Chen Y, Chang CT, Belytschko T (1996) Advances in multiple scale kernel particle methods. Comput. Mech. 18:73-111
3. Mukherjee YX, Mukherjee S (1997) On boundary conditions in the element-free Galerkin method. Comput. Mech. 19:264-270
4. Nayroles B, Touzot G, Villon P (1992) Generalizing the finite element method: diffuse approximation and diffuse elements. Comput. Mech. 10:307-318
5. Organ D, Fleming M, Terry T, Belytschko T (1996) Continuous meshless approximations for nonconvex bodies by diffraction and transparency. Comput. Mech. 18: 225-235
6. Zhu T, Atluri SN (1998) A modified collocation &a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method. Comput. Mech. 21: 211-222
7. Zhu T, Zhang J-D, Atluri SN (1998a) A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach. Comput. Mech. 21: 223-235
8. Zhu T-L, Zhang J-D, Atluri SN (1998b) A meshless local boundary integral equation (LBIE) method for solving nonlinear problems. Comput. Mech. In press