We propose a novel discrete solver for optimizing functional map-based energies, including descriptor preservation and promoting structural properties such as area-preservation, bijectivity Laplacian commutativity among others. Unlike the commonly-used continuous optimization methods, our approach enforces map to be associated with pointwise correspondence hard constraint, which provides strong...

Abstract The differential-geometric structure of the manifold smooth shapes is applied to theory shape optimization problems. In particular, a Riemannian gradient with respect first Sobolev metric and Steklov–Poincaré are defined. Moreover, covariant derivative associated deduced in this paper. explicit expression leads definition Hessian metric. paper, we give brief overview various techniques...

many shape and topology optimization methods have been inspired from the nature. in this paper, two different optimization algorithms based on the adaptive biological growth (abg) have been applied to some structural elements. the first algorithm is developed for the shape optimization and is applied to a plate with a central hole as well as a fillet plate. the second algorithm is the soft kill...

The design problems of electric machines are actually treated as a kind mixed-integer problem, because the machine shapes defined by some integer variables, such number slots, and other tooth width, which here called fundamental shape respectively. To automatically solve these problems, this article presents an automatic method combining reinforcement learning evolutionary optimization. In prop...

Optimization techniques can be efficiently utilized to achieve an optimal shape for arch dams. This optimal design can consider the conditions of the economy and safety simultaneously. The main aim is to present an applicable and practical model and suggest an algorithm for optimization of concrete arch dams to enhance their seismic performance. To achieve this purpose, a preliminary optimizati...

This study focuses on the topology optimization of structures using a hybrid of level set method (LSM) incorporating sensitivity analysis and isogeometric analysis (IGA). First, the topology optimization problem is formulated using the LSM based on the shape gradient. The shape gradient easily handles boundary propagation with topological changes. In the LSM, the topological gradient method as ...