𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stochastic modeling of multiscale and multiphysics problems

✍ Scribed by Nicholas Zabaras; Dongbin Xiu


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
105 KB
Volume
197
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

✦ Synopsis


Stochastic modeling of multiscale and multiphysics problems

Diverse research fields of current technological importance encompassing nano materials, plasma physics, roughness and scattering in electromagnetics, fluid-structure interaction, materials, turbulence, soil contamination, transport in geological media, bio-chemical reactions and other include a rich array of physical phenomena occurring at multiple length and time scales. Computational modeling is critical for understanding these processes and for their subsequent design and control. Further, uncertainty invariably manifests in these processes as inexact knowledge about material properties, boundary conditions, constitutive laws, and governing physical, mathematical, and numerical models.

This special issue of CMAME brings together the work of scientists from various fields that emphasize the role of stochastic modeling in multiscale and multiphysics systems.


πŸ“œ SIMILAR VOLUMES


A multiphysics and multiscale software e
✍ Simon Portegies Zwart; Steve McMillan; Stefan Harfst; Derek Groen; Michiko Fujii πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 791 KB

We present MUSE, a software framework for combining existing computational tools for different astrophysical domains into a single multiphysics, multiscale application. MUSE facilitates the coupling of existing codes written in different languages by providing inter-language tools and by specifying

Probabilistic equivalence and stochastic
✍ M. Arnst; R. Ghanem πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 374 KB

This paper presents a probabilistic upscaling of mechanics models. A reduced-order probabilistic model is constructed as a coarse-scale representation of a specified fine-scale model whose probabilistic structure can be accurately determined. Equivalence of the fine-and coarse-scale representations

Adaptive finite element approximation of
✍ Larson, Mats G. ;Bengzon, Fredrik πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 256 KB

## Abstract Simulation of multiphysics problems is a common task in applied research and industry. Often a multiphysics solver is built by connecting several single‐physics solvers into a network. In this paper, we develop a basic adaptive methodology for such multiphysics solvers. The adaptive met