On increasing computational efficiency of local integral equation method combined with meshless implementations

CMES - Computer Modeling in Engineering and Sciences

Volumn 63, Issue 3, 2010, Pages 243-263

  Sladek, V ^a   Sladek, J ^a   Zhang, Ch ^b  

^a INSTITUTE OF CONSTRUCTION AND ARCHITECTURE   (Slovakia)

^b UNIVERSITY OF SIEGEN   (Germany)

Author keywords

Accuracy; Computational time; Convergence; Moving Least Squares approximation; Potential problem.; Strong and weak formulations

Indexed keywords

ACCURACY; COMPUTATIONAL TIME; CONVERGENCE; MOVING LEAST SQUARES APPROXIMATION; POTENTIAL PROBLEMS; WEAK FORMULATION;

CONVERGENCE OF NUMERICAL METHODS; FUNCTION EVALUATION; LEAST SQUARES APPROXIMATIONS;

COMPUTATIONAL EFFICIENCY;

EID: 77957714253     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. Atluri, S.N.; Han, Z.D.; Shen, S. (2003): Meshless local Petrov-Galerkin (MLPG) pproaches for solving the weakly-singular traction & displacement boundary integral equations. CMES: Computer Modeling in Engineering & Sciences, 4: 507-516
2. Atluri, S.N. (2004): The Meshless Method, (MLPG) For Domain & BIE Discretizations, Tech Science Press, Forsyth.
3. Lancaster, P.; Salkauskas, K. (1981): Surfaces generated by moving least square methods. Math. Comput., 37: 141-158.
4. Liu, G.R. (2003): Mesh free methods, Moving beyond the finite element method, CRC Press, Boca Raton.
5. Sladek, V.; Sladek, J.; Tanaka, M.; Zhang, Ch. (2005): Local integral equation method for potential problems in functionally graded anisotropic materials. Eng. Anal. Bound. Elements, 29: 829-843. (Pubitemid 41084684)
6. Sladek, V.; Sladek, J.; Zhang, Ch. (2008a): Computation of stresses in nonhomogeneous elastic solids by local integral equation method: a comparative study. Computational Mechanics, 41: 827-845.
7. Sladek, V.; Sladek, J.; Zhang, Ch. (2008b): Local integral equation formulation for axially symmetric problems involving elastic FGM. Eng. Anal. Bound. Elem., 32: 1012-1024.
8. Sladek, V.; Sladek, J.; Zhang, Ch. (2008c): Analytical integrations in meshless implementations of local integral equations. In: B.A. Schrefler, U. Perego (eds.) Proc. 8th World Congress on Computational Mechanics WCCM8, Int. Centerfor Numerical Methods in Engn. (CIMNE): Barcelona, CD -ROM,ISBN 978-84-96736-55-59
9. Sladek, V.; Sladek, J.; Zhang, Ch. (2009): Meshless implementations of local integral equations. In: Brebbia, C.A.(ed) Mesh reduction methods. WIT Press, Southampton, 71-82.
10. Sladek, V.; Sladek, J. (2010): Local integral equationsimplemented by MLSapproximation and analytical integrations. Eng. Anal. Bound. Elem., doi10. 1016j.enganabound.2010.03.015.
11. Wen, P.H.; Aliabadi, M.H. (2008): An improved meshlesscollocation method for elastostatic and elastodynamic problems. Commun. Numer. Meth. Engng., 24: 635-651.
12. Wrobel, L.C. (2002): The Boundary Element Method, Vol1:Applications in Thermo-Fluids and Acoustics, John Wiley & Sons, Chichester.