The stochastic finite element method is an extension of the FEM that considers the uncertainty of a system that arises through variations in initial conditions, materials or …
S Chakraborty - Journal of Computational Physics, 2021 - Elsevier
For many systems in science and engineering, the governing differential equation is either not known or known in an approximate sense. Analyses and design of such systems are …
GB Baecher, JT Christian - 2005 - books.google.com
Risk and reliability analysis is an area of growing importance in geotechnical engineering, where many variables have to be considered. Statistics, reliability modeling and engineering …
Computer simulations based on mathematical models have become ubiquitous across the engineering disciplines and throughout the physical sciences. Successful use of a …
The paper investigates the probability of failure of slopes using both traditional and more advanced probabilistic analysis tools. The advanced method, called the random finite …
This chapter discusses the importance of multidisciplinary optimization and of including reliability-based constraints in design. Before addressing reliability issues, we first present a …
Modeling a mechanical system can be defined as the mathematical idealization of the physical processes governing its evolution. This requires the definitions of basic variables …
HG Matthies, A Keese - Computer methods in applied mechanics and …, 2005 - Elsevier
Stationary systems modelled by elliptic partial differential equations—linear as well as nonlinear—with stochastic coefficients (random fields) are considered. The mathematical …