How Long to Read Topological Derivatives in Shape Optimization

How Long Does it Take to Read Topological Derivatives in Shape Optimization?

It takes the average reader 5 hours and 29 minutes to read Topological Derivatives in Shape Optimization by Antonio André Novotny

Assuming a reading speed of 250 words per minute. Learn more

Description

The topological derivative is defined as the first term (correction) of the asymptotic expansion of a given shape functional with respect to a small parameter that measures the size of singular domain perturbations, such as holes, inclusions, defects, source-terms and cracks. Over the last decade, topological asymptotic analysis has become a broad, rich and fascinating research area from both theoretical and numerical standpoints. It has applications in many different fields such as shape and topology optimization, inverse problems, imaging processing and mechanical modeling including synthesis and/or optimal design of microstructures, fracture mechanics sensitivity analysis and damage evolution modeling. Since there is no monograph on the subject at present, the authors provide here the first account of the theory which combines classical sensitivity analysis in shape optimization with asymptotic analysis by means of compound asymptotic expansions for elliptic boundary value problems. This book is intended for researchers and graduate students in applied mathematics and computational mechanics interested in any aspect of topological asymptotic analysis. In particular, it can be adopted as a textbook in advanced courses on the subject and shall be useful for readers interested on the mathematical aspects of topological asymptotic analysis as well as on applications of topological derivatives in computation mechanics.

How long is Topological Derivatives in Shape Optimization?

Topological Derivatives in Shape Optimization by Antonio André Novotny is 324 pages long, and a total of 82,296 words.

This makes it 109% the length of the average book. It also has 101% more words than the average book.

How Long Does it Take to Read Topological Derivatives in Shape Optimization Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 29 minutes to read Topological Derivatives in Shape Optimization aloud.

What Reading Level is Topological Derivatives in Shape Optimization?

Topological Derivatives in Shape Optimization is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Topological Derivatives in Shape Optimization?

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