On the Topological Derivative in Shape Optimization

Comments on “Shape and topology optimiza

Comments on “Shape and topology optimization for periodic problems part I: the shape and the topological derivative”

✍ Vladimir Kobelev 📂 Article 📅 2010 🏛 Springer-Verlag 🌐 English ⚖ 103 KB

[Interaction of Mechanics and Mathematic

[Interaction of Mechanics and Mathematics] Topological Derivatives in Shape Optimization || Topological Derivative Evaluation with Adjoint States

✍ Novotny, Antonio André; Sokołowski, Jan 📂 Article 📅 2013 🏛 Springer Berlin Heidelberg 🌐 English ⚖ 496 KB

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, t

[Interaction of Mechanics and Mathematic

[Interaction of Mechanics and Mathematics] Topological Derivatives in Shape Optimization || Topological Derivative for Steady-State Orthotropic Heat Diffusion Problems

✍ Novotny, Antonio André; Sokołowski, Jan 📂 Article 📅 2013 🏛 Springer Berlin Heidelberg 🌐 English ⚖ 452 KB

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, t

[Interaction of Mechanics and Mathematic

[Interaction of Mechanics and Mathematics] Topological Derivatives in Shape Optimization || Material and Shape Derivatives for Boundary Value Problems

✍ Novotny, Antonio André; Sokołowski, Jan 📂 Article 📅 2013 🏛 Springer Berlin Heidelberg 🌐 English ⚖ 701 KB

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, t

Topological Sensitivity and Shape Optimi

Topological Sensitivity and Shape Optimization for the Stokes Equations

✍ Guillaume, Ph.; Idris, K. Sid 📂 Article 📅 2004 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 360 KB

Locking materials and the topology of op

Locking materials and the topology of optimal shapes

✍ Frédéric Golay; Pierre Seppecher 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 589 KB