𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on the use of transformations in sensitivity computations for elliptic systems

✍ Scribed by J.A. Burns; L.G. Stanley

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
943 KB
Volume
33
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

✦ Synopsis

Sensitivity analysis is an important tool in engineering with applications ranging from optimal design to computational fluid dynamics. There are many algorithms available for computing sensitivities. These range from automatic differentiation techniques to variational methods. In this paper,.we describe two variational methods for computing sensitivities. We use a 1D model problem as a platform for describing and comparing these methods. In particular, the regularity of the sensitivity equations obtained from each method is addressed. Numerical approximations to each sensitivity are calculated using finite element schemes, and numerical comparisons are presented.

πŸ“œ SIMILAR VOLUMES

A note on the computation of Markovian s
A note on the computation of Markovian systems
✍ N. Limnios πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science 🌐 English βš– 180 KB

In this paper we propose a new method for the numerical resolution of the Kolmogorov equations for continuous time Markov chains. The numerical treatment required is very simple as for the discrete time Markov chain. An accurate error analysis is derived by Shur's theorem.

A Note on the Unified Coordinate System
A Note on the Unified Coordinate System for Computing Shock Waves
✍ Zi-Niu Wu πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 87 KB

In 1999 [J. Comput. Phys. 153, 596], Hui and his co-workers proposed a unified coordinate system for computing compressible flows with discontinuous solutions. In their coordinate system, there is a free parameter h such that the traditional Eulerian approach and Lagrangian approach correspond to th