Multiscale Methods: Bridging the Scales in Science and Engineering

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İnşaat Mühendisliği
Multiscale Methods: Bridging the Scales in Science and Engineering

Yazar	: Jacob Fish
Yayınevi	: OUP Oxford
ISBN	: 9780199233854
Baskı yılı	: 2009
Sayfa sayısı	: 624
Ağırlık	: 1.09 kg
Stok durumu	: Var Stok detayları
Kargoya teslim	: Aynı gün kargo

Small scale features and processes occurring at nanometer and femtosecond scales have a profound impact on what happens at a larger scale and over an extensive period of time. The primary objective of this volume is to reflect the state-of-the-art in multiscale mathematics, modeling, and simulations and to address the following barriers: What is the information that needs to be transferred from one model or scale to another and what physical principles must be satisfied during the transfer of information? What are the optimal ways to achieve such transfer of information? How can variability of physical parameters at multiple scales be quantified and how can it be accounted for to ensure design robustness? The multiscale approaches in space and time presented in this volume are grouped into two main categories: information-passing and concurrent. In the concurrent approaches various scales are simultaneously resolved, whereas in the information-passing methods the fine scale is modeled and its gross response is infused into the continuum scale. The issue of reliability of multiscale modeling and simulation tools which focus on a hierarchy of multiscale models and an a posteriori model of error estimation including uncertainty quantification, is discussed in several chapters. Component software that can be effectively combined to address a wide range of multiscale simulations is also described. Applications range from advanced materials to nanoelectromechanical systems (NEMS), biological systems, and nanoporous catalysts where physical phenomena operates across 12 orders of magnitude in time scales and 10 orders of magnitude in spatial scales. This volume is a valuable reference book for scientists, engineers and graduate students practicing in traditional engineering and science disciplines as well as in emerging fields of nanotechnology, biotechnology, microelectronics and energy.

	Preface by Jacob Fish
I	Information-Passing Multiscale Methods in Space
1	Mixed multiscale finite element methods on adaptive unstructured grids using limited global information by J. E. Aarnes and Y. Efendiev and T. Y. Hou and L. Jiang	3
2	Formulations of mechanics problems for materials with self-similar multiscale microstructure by R. C. Pieu and M. A. Soare	31
3	N-scale model reduction theory by Jacob Fish and Zheng Yuan	57
II	Concurrent Multiscale Methods in Space
4	Concurrent coupling of atomistic and continuum models by Mei Xu	93
5	Coarse-grained molecular dynamics: concurrent multiscale simulation at finite temperature by Robert E. Rudd	134
6	Blending methods for coupling atomistic and continuum models by P. Bochev and R. Lehoucq and M. Parks and S. Badia and M. Gunzburger	165
III	Space-Time Scale Bridging Methods
7	Principles of systematic upscaling by Achi Brandt	193
8	Equation-free computation: an overview of patch dynamics by G. Samaey and A. J. Roberts and I. G. Kevrekidis	216
9	On multiscale computational mechanics with time-space homogenization by P. Ladeveze and David Neron and Jean-Charles Passieux	247
IV	Adaptivity, Error Estimation and Uncertainty Quantification
10	Estimation and control of modeling error: a general approach to multiscale modeling by J. T. Oden and S. Prudhomme and P. T. Bauman and L. Chamoin	285
11	Error estimates for multiscale operator decomposition for multiphysics models by D. Estep and V. Multiscale Software	305
12	Component software for multiscale simulation by M. S. Shepard and M. A. Nuggehally and B. FranzDale and C. R. Pieu and J. Fish and O. Klaas and M. W. Beall	393
VI	Selected Multiscale Applications
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Axess
Taksit	Taksit Tutarı	Toplam Tutar
Tek çekim	-	5485.40 TL
2 ay	2838.69 TL	5677.39 TL
3 ay	1929.03 TL	5787.10 TL
6 ay	1028.51 TL	6171.08 TL
9 ay	731.39 TL	6582.48 TL
12 ay	591.97 TL	7103.59 TL

cardFinans
Taksit	Taksit Tutarı	Toplam Tutar
Tek çekim	-	5485.40 TL
2 ay	2838.69 TL	5677.39 TL
3 ay	1929.03 TL	5787.10 TL
6 ay	1028.51 TL	6171.08 TL
9 ay	731.39 TL	6582.48 TL
12 ay	591.97 TL	7103.59 TL

Bonus
Taksit	Taksit Tutarı	Toplam Tutar
Tek çekim	-	5485.40 TL
2 ay	2838.69 TL	5677.39 TL
3 ay	1929.03 TL	5787.10 TL
6 ay	1028.51 TL	6171.08 TL
9 ay	731.39 TL	6582.48 TL
12 ay	591.97 TL	7103.59 TL

World
Taksit	Taksit Tutarı	Toplam Tutar
Tek çekim	-	5485.40 TL
2 ay	2838.69 TL	5677.39 TL
3 ay	1929.03 TL	5787.10 TL
6 ay	1028.51 TL	6171.08 TL
9 ay	731.39 TL	6582.48 TL
12 ay	591.97 TL	7103.59 TL

Maximum
Taksit	Taksit Tutarı	Toplam Tutar
Tek çekim	-	5485.40 TL
2 ay	2838.69 TL	5677.39 TL
3 ay	1929.03 TL	5787.10 TL
6 ay	1028.51 TL	6171.08 TL
9 ay	731.39 TL	6582.48 TL
12 ay	591.97 TL	7103.59 TL

Paraf
Taksit	Taksit Tutarı	Toplam Tutar
Tek çekim	-	5485.40 TL
2 ay	2838.69 TL	5677.39 TL
3 ay	1929.03 TL	5787.10 TL
6 ay	1028.51 TL	6171.08 TL
9 ay	731.39 TL	6582.48 TL
12 ay	591.97 TL	7103.59 TL