Antonio André Novotny

An Introduction to the Topological Derivative Method

Applications of the Topological Derivative Method

Topological Derivatives in Shape Optimization

Análise de Sensibilidade Topológica: Teoria e Aplicações

Thermo-mechanical fracture modeling governed by topological derivatives

A novel multiscale model for micro-structured electromagnetic media

Reconstruction of a singular source in a fractional subdiffusion problem from a single point measurement

Full-waveform reconstruction of micro-seismic events via topological derivative approach

Topology optimization of three-dimensional structures subject to self-weight loading

A new micro-seismic model for fault reconstruction in Reissner-Mindlin plates

Reconstruction of the source term in a time-fractional diffusion equation from partial domain measurement

Emergence of elastostatic strain-gradient effects from topological optimization

Reconstruction of pointwise sources in a time-fractional diffusion equation

Imaging of mass distributions from partial domain measurement

On the robustness of the topological derivative for Helmholtz problems and applications

A hybrid sequential scheme for brittle hydraulic fractures in poroelastic media

Aggregation and regularization schemes: a probabilistic point of view

Guest Editorial: On the topological derivative method and its applications in computational engineering

Damage identification in plate structures based on the topological derivative method

Topology design optimization of nanophotonic devices for energy concentration

A noniterative reconstruction method for solving a time-fractional inverse source problem from partial boundary measurement

Sensitivity of the second order homogenized elasticity tensor to topological microstructural changes

A priori error estimates for local reliability-based sensitivity analysis with Monte Carlo simulation

Topological derivative-based topology optimization of plate structures under bending effects

Topological derivative-based topology optimization of structures subject to self-weight loading

Pollution sources reconstruction based on the topological derivative method

On the Kohn-Vogelius formulation for solving an inverse source problem

Topological asymptotic analysis of a diffusive-convective-reactive problem

Pointwise antennas design in hyperthermia therapy

On the full-waveform inversion of seismic moment tensors

Growth control of cracks under contact conditions based on the topological derivative of the Rice's integral

Hydro-mechanical fracture modelling governed by topological derivatives

Topology design of thermomechanical actuators combined with heat source optimization

Relation between Eshelbyan mechanics and topological derivative concept

Optimization of the electromagnetic scattering problem based on the topological derivative method

A noniterative reconstruction method for the inverse potential problem with partial boundary measurements

Topological derivatives of shape functionals. Part I: Theory in singularly perturbed geometrical domains

Topological derivatives of shape functionals. Part II: First order method and applications

Topological derivatives of shape functionals. Part III: Second order method and applications

Crack growth control based on the topological derivative of the Rice’s integral

An adjoint-based optimization method for gas production in shale reservoirs

Topological asymptotic analysis of an optimal control problem modeled by a coupled system

Homogenized couple stress model of optimal auxetic structures computed by topology optimization

A noniterative reconstruction method for an inverse potential problem modeled by a modified Helmholtz equation

Fast solution of the inverse electromagnetic casting problem

A simplified model of fracking based on the topological derivative concept

Reliability based topology optimization of structures under stress constraints

Design optimization of laminar flow machine rotors based on the topological derivative concept

Asymptotic analysis of variational inequalities with applications to optimum design in elasticity

Topological derivative-based topology optimization of Structures subject to design-dependent hydrostatic pressure loading

Structural weight minimization under stress constraints and multiple loading

Topological derivative-based fracture modelling in brittle materials: A phenomenological approach

Obstacles reconstruction from partial boundary measurements based on the topological derivative concept

Topology design of thermomechanical actuators

A new one-shot pointwise source reconstruction method

A new noniterative reconstruction method for the electrical impedance tomography problem

A new method for topology design of electromagnetic antennas in hyperthermia therapy

Topology design of compliant mechanisms with stress constraints based on the topological derivative concept

Topological derivatives applied to fluid flow channel design optimization problems

Robust compliance topology optimization based on the topological derivative concept

Topological derivative method for electrical impedance tomography problems

Energy change to insertion of inclusions associated with a diffusive/convective steady-state heat conduction problem

Optimum design of flextensional piezoelectric actuators into two spatial dimensions

A new reconstruction method for the inverse source problem from partial boundary measurements

Topological derivative-based topology optimization of structures subject to multiple load-cases

Energy change to insertion of inclusions associated with the Reissner-Mindlin plate bending model

Design of bi-metallic devices based on the topological derivative concept

Topology design of inductors in electromagnetic casting using level-sets and second order topological derivatives

Topology design of plates considering different volume control methods

Minimal partitions and image classification using a gradient-free perimeter approximation

A new reconstruction method for the inverse potential problem

Topological sensitivity analysis for elliptic differential operators of order 2m

Sensitivity of a general class of shape functional to topological changes

Strain energy change to the insertion of inclusions associated to a thermo-mechanical semi-coupled system

Topological derivative for an anisotropic and heterogeneous heat diffusion problem

Topological derivative-based topology optimization of structures subject to Drucker-Prager stress constraints

Second-order topological expansion for electrical impedance tomography

Topological asymptotic analysis of the Kirchhoff plate bending problem

On shape optimization for an evolution coupled system

A new method for inverse electromagnetic casting problems based on the topological derivative

Shape sensitivity analysis of a quasi-eletrostatic Piezoelectric system in multilayered media

Crack nucleation sensitivity analysis

Topological derivative for multi-scale linear elasticity models applied to the synthesis of microstructures

Topological derivative-based optimization of micro-structures considering different multi-scale models

Sensitivity of the macroscopic response of elastic microstructures to the insertion of inclusions

Topological optimization of structures subject to von Mises stress constraints

Topological sensitivity analysis of a multi-scale constitutive model considering a cracked microstructure

Topological derivative for steady-state orthotropic heat diffusion problem

On the second order topological asymptotic expansion

Shape and topology sensitivity analysis for cracks in elastic bodies on boundaries of rigid inclusions

On topological derivatives for elastic solids with uncertain input data

First and second order topological sensitivity analysis for inclusions

A simple method for tomography reconstruction

Sensitivity of the macroscopic elasticity tensor to topological microstructural changes

Sensitivity of the macroscopic thermal conductivity tensor to topological microstructural changes

Topological sensitivity analysis of inclusion in two-dimensional linear elasticity

Topological derivative: A tool for image processing

Second order topological sensitivity analysis

Topological sensitivity analysis for three-dimensional linear elasticity problem

Topological derivative for linear elastic plate bending problems

Topological sensitivity analysis

The topological derivative for the Poisson's problem

A fast hp adaptive finite element mesh design