A Petrov-Galerkin diffuse element method (PG DEM) and its comparison to EFG

Computational Mechanics

Volumn 19, Issue 4, 1997, Pages 327-333

  Krongauz, Y ^a   Belytschko, T ^a  

^a Northwestern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; STIFFNESS MATRIX;

ELEMENT FREE GALERKIN (EFG) METHOD; PETROV-GALERKIN DIFFUSE ELEMENT METHOD (PG DEM);

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0031101429     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050181     Document Type: Article

References (8)

1. Belytschko, T.; Krongauz, Y.; Fleming, M.; Organ, O.; Liu, W. (1996): Smoothing and accelerated computations in the Element-Free Galerkin method. Journal of Computational and Applied Mathematics 74, 111-126
2. Belytschko, T.; Lu, Y. Y.; Gu, L. (1994). Element-Free Galerkin methods. International Journal of Numerical Methods in Engineering 37, 229-256
3. Krongauz, Y.; Belytschko T. (1996a). Consistent pseudo-derivatives in meshless methods. Computer Methods in Applied Mechanics and Engineering. Submitted for publication
4. Krongauz, Y.; Belytschko T. (1996b). Enforcement of essential boundary conditions in meshless approximations using finite elements. Computer Methods in Applied Mechanics and Engineering 131, 133-145
5. Lancaster, P.; Salkauskas, K. (1981). Surfaces generated by moving least squares methods. Mathematics of Computation 37, 141-158
6. Nayroles, B.; Touzot, G.; Villon P. (1992). Generalizing the finite element method: diffuse approximation and diffuse elements. Computational Mechanics 10, 307-318
7. Shepard, D. (1968). A two dimensional functions for irregularly space data. In ACM National Conference
8. Timoshenko, S. P.; Goodier J. N. (1987). Theory of Elasticity (3rd ed.). New York: McGraw-Hill