Moving kriging interpolation and element-free Galerkin method

International Journal for Numerical Methods in Engineering

Volumn 56, Issue 1, 2003, Pages 1-11

  Gu, Lei ^a  

^a FORD RESEARCH LABORATORY   (United States)

Author keywords

Computational mechanics; Kriging; Mesh free method

Indexed keywords

BOUNDARY VALUE PROBLEMS; FINITE ELEMENT METHOD; INTERPOLATION;

ELEMENT-FREE GALERKIN (EFG) METHOD;

NUMERICAL METHODS;

MATHEMATICAL METHOD;

EID: 0037422621     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.553     Document Type: Article

References (11)

1. Belytschko T, Lu YY, Gu L. Element free Galerkin methods. International Journal for Numerical Methods in Engineering 1994; 37:229-256.
2. Lancaster P, Salkauskas K. Surface generated by moving least square methods. Mathematics of Computation 1981; 37:141-158.
3. Wagner GJ, Liu WK. Applied of essential boundary conditions in mesh-free methods: a corrected collocation method. International Journal for Numerical Methods in Engineering 1999; 47:1367-1379.
4. Kaljevic I, Saigal S. An improved element-free Galerkin formulation. International Journal for Numerical Methods in Engineering 1997; 40:2953-2974.
5. Krongauz Y, Belytschko T. Enforcement of essential boundary conditions in meshless approximations using finite elements. Computer Methods in Applied Mechanics and Engineering 1996; 131:1335-1345.
6. Matheron G. Principles of geostatistics. Economic Geology 1963; 58:1246-1266.
7. Sacks J, Welch WJ, Mitchell TJ, Wynn HP. Design and analysis of computer experiments. Statistical Science 1989; 4:409-435.
8. Sacks J, Susannah SB, Welch WJ. Design for computer experiments. Technometrics 1989; 31:41-47.
9. Simpson TW, Mauery TM, Korte JJ, Mistree F. Comparison of response surface and kriging models for multidisciplinary design optimization. Proceedings of the Seventh Symposium on Multidisciplinary Analysis and Optimization, AIAA-98-4755.
10. Stein ML. Interpolation of Spatial Data-Some Theory for Kriging. Springer: Berlin, 1999.
11. Krige DG. A statistical approach to some basic mine valuation problems on the witwatersand. Journal of the Chemical, Metallurgical and Mining Society of South Africa 1951; 52:119-139.