Shape Optimization by the Homogenization Method
Gregoire Allaire
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Description for Shape Optimization by the Homogenization Method
Hardback. Provides an introduction to the theory and numerical developments of the homogenization method. This title features: a comprehensive presentation of homogenization theory; an introduction to the theory of two-phase composite materials; and, a treatment of structural optimization by using homogenization. Series: Applied Mathematical Sciences. Num Pages: 474 pages, biography. BIC Classification: TBC; TBJ; TNC. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 26. Weight in Grams: 851.
The topic of this book is homogenization theory and its applications to optimal design in the conductivity and elasticity settings. Its purpose is to give a self-contained account of homogenization theory and explain how it applies to solving optimal design problems, from both a theoretical and a numerical point of view. The application of greatest practical interest tar geted by this book is shape and topology optimization in structural design, where this approach is known as the homogenization method. Shape optimization amounts to finding the optimal shape of a domain that, for example, would be of maximal conductivity or rigidity ... Read more
The topic of this book is homogenization theory and its applications to optimal design in the conductivity and elasticity settings. Its purpose is to give a self-contained account of homogenization theory and explain how it applies to solving optimal design problems, from both a theoretical and a numerical point of view. The application of greatest practical interest tar geted by this book is shape and topology optimization in structural design, where this approach is known as the homogenization method. Shape optimization amounts to finding the optimal shape of a domain that, for example, would be of maximal conductivity or rigidity ... Read more
Product Details
Format
Hardback
Publication date
2001
Publisher
Springer-Verlag New York Inc. United States
Number of pages
474
Condition
New
Series
Applied Mathematical Sciences
Number of Pages
458
Place of Publication
New York, NY, United States
ISBN
9780387952987
SKU
V9780387952987
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Shape Optimization by the Homogenization Method
From the reviews: "The book is a research monograph, but the structure and completeness of the presentation means that the book constitutes a good basis for a graduate course in applied mathematics. The rigorous mathematical presentation is supplemented with numerous remarks and comments which discuss the subject in broader terms, greatly simplifying the reading process. … The book ... Read more