000005042 001__ 5042
000005042 005__ 20141120140006.0
000005042 04107 $$aeng
000005042 046__ $$k2008-06-25
000005042 100__ $$aChowdhury, Rajib
000005042 24500 $$aAPPLICATION OF COUPLED RKHS-HDMR TO STOCHASTIC MECHANICS AND RELIABILITY

000005042 24630 $$n4.$$pProceedings of the 4th International ASRANet Colloquium
000005042 260__ $$bASRANet Ltd., 2008
000005042 506__ $$arestricted
000005042 520__ $$2eng$$aA generic high dimensional model representation (HDMR) method is presented for approximating the limit state/performance function in terms of functions of lower dimensions and for going beyond the tensor-product formulation. Within the framework of reproducing kernel Hilbert space (RKHS) interpolation techniques, HDMR is formulated for approximation of the original limit state/performance function. RKHS provides rigorous and effective framework for smooth multivariate interpolation of scattered data points leading to asymptotically convergent solutions. HDMR technique in conjunction with a successive multilevel decomposition technique provides efficient and accurate procedures for reducing a multidimensional interpolation problem to smaller, independent subproblems. Numerical illustrations of RKHS-HDMR with applications to the structural/mechanical systems are given. The proposed RKHS-HDMR is intimately related to Gordon’s blending-function methods for multivariate interpolation and approximation. The general findings in this paper and their illustration provide a foundation for further applications to the reliability and system safety.

000005042 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000005042 653__ $$aStructural Reliability, High Dimensional Model Representation, Reproducing Kernel, Hilbert Space, Tensor Product.

000005042 7112_ $$a4th International ASRANet Colloquium$$cAthens (GR)$$d2008-06-25 / 2008-06-27$$gASRANet4
000005042 720__ $$aChowdhury, Rajib$$iRao, B.N.$$iPrasad, A Meher
000005042 8560_ $$ffischerc@itam.cas.cz
000005042 8564_ $$s247029$$uhttps://invenio.itam.cas.cz/record/5042/files/098_Chowdhury,_Rajib.pdf$$yOriginal version of the author's contribution as presented on CD, paper No. 98.
000005042 962__ $$r4967
000005042 980__ $$aPAPER