Multi level dimension decomposition approach for structural reliability analysis

Abstract

This thesis aims to develop high fidelity polynomial dimension decomposition schemes for stochastic computation It is achieved in multiple stages using efficient modelling of bases decomposition terms unknown coefficients and error terms Using these improvements this study proposes the following novel schemes 8220 a Two Step Adaptive Response Surface Method RSM b Sequential Stochastic Response Surface Method Seq SRSM c Adaptive Multiple Finite Difference High Dimensional Model R