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Optimal Design through the Sub-Relaxation Method - Understanding the Basic Principles (Hardcover, 1st ed. 2016)
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Optimal Design through the Sub-Relaxation Method - Understanding the Basic Principles (Hardcover, 1st ed. 2016)
Series: SEMA SIMAI Springer Series, 11
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This book provides a comprehensive guide to analyzing and solving
optimal design problems in continuous media by means of the
so-called sub-relaxation method. Though the underlying ideas are
borrowed from other, more classical approaches, here they are used
and organized in a novel way, yielding a distinct perspective on
how to approach this kind of optimization problems. Starting with a
discussion of the background motivation, the book broadly explains
the sub-relaxation method in general terms, helping readers to
grasp, from the very beginning, the driving idea and where the text
is heading. In addition to the analytical content of the method, it
examines practical issues like optimality and numerical
approximation. Though the primary focus is on the development of
the method for the conductivity context, the book's final two
chapters explore several extensions of the method to other
problems, as well as formal proofs. The text can be used for a
graduate course in optimal design, even if the method would require
some familiarity with the main analytical issues associated with
this type of problems. This can be addressed with the help of the
provided bibliography.
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