[图书][B] Applications of the topological derivative method
AA Novotny, J Sokołowski, A Żochowski - 2019 - Springer
The topological derivative method is recognized as a robust numerical technique in
engineering applications such as topology optimization, inverse problems, imaging …
engineering applications such as topology optimization, inverse problems, imaging …
Topology optimization of anisotropic structure for arbitrary objective functionals with exact free boundary representation
Y Cui, W Yang, T Takahashi, T Matsumoto - Computers & Structures, 2024 - Elsevier
A new approach to performing sensitivity analysis of arbitrary objective functionals for
anisotropic elasticity is proposed in this work. Three different objective functionals have …
anisotropic elasticity is proposed in this work. Three different objective functionals have …
Topological derivative-based topology optimization of structures subject to multiple load-cases
CG Lopes, RB Santos, AA Novotny - Latin American Journal of Solids …, 2015 - SciELO Brasil
The topological derivative measures the sensitivity of a shape functional with respect to an
infinitesimal singular domain perturbation, such as the insertion of holes, inclusions or …
infinitesimal singular domain perturbation, such as the insertion of holes, inclusions or …
A new reconstruction method for the inverse potential problem
A Canelas, A Laurain, AA Novotny - Journal of Computational Physics, 2014 - Elsevier
The inverse potential problem consists in reconstructing an unknown measure with support
in a geometrical domain from a single boundary measurement. In order to deal with this …
in a geometrical domain from a single boundary measurement. In order to deal with this …
Implementation of topological derivative in the moving morphable components approach
M Takalloozadeh, GH Yoon - Finite Elements in Analysis and Design, 2017 - Elsevier
We propose a new topology optimization approach based on the moving morphable
components (MMC) framework with an explicitly described a layout through a finite number …
components (MMC) framework with an explicitly described a layout through a finite number …
Shape and topology optimal design problems in electromagnetic casting
A Canelas, JR Roche - Engineering Computations, 2021 - emerald.com
Purpose In this paper the authors review the recent numerical techniques proposed to solve
the forward and inverse problems concerning the electromagnetic casting and …
the forward and inverse problems concerning the electromagnetic casting and …
Topological derivatives of shape functionals. Part III: second-order method and applications
AA Novotny, J Sokołowski, A Żochowski - Journal of Optimization Theory …, 2019 - Springer
The framework of asymptotic analysis in singularly perturbed geometrical domains
presented in the first part of this series of review papers can be employed to produce two …
presented in the first part of this series of review papers can be employed to produce two …
Melting interfaces in induction heated bodies
A Canelas, JR Roche, JP Brancher - Computers & Mathematics with …, 2024 - Elsevier
A numerical study of the solution of the mathematical problem corresponding to the melting
of a solid metallic body, heated by the action of an exterior electromagnetic field, is …
of a solid metallic body, heated by the action of an exterior electromagnetic field, is …
Optimization of composite structures: A shape and topology sensitivity analysis
G Delgado - 2014 - pastel.hal.science
This thesis is devoted to the study of two main problems, namely the optimal design of multi-
layered composite laminates and the topological sensitivity analysis in anisotropic …
layered composite laminates and the topological sensitivity analysis in anisotropic …
On the Kohn–Vogelius formulation for solving an inverse source problem
P Menoret, M Hrizi, AA Novotny - Inverse Problems in Science and …, 2021 - Taylor & Francis
An inverse source problem related to the Poisson equation is the main concern of this work.
Specifically, we deal with the reconstruction of a mass distribution in a geometrical domain …
Specifically, we deal with the reconstruction of a mass distribution in a geometrical domain …