Senior Researcher at the
National Laboratory for Scientific Computing
Antonio André Novotny
I am Senior Researcher at the National Laboratory for Scientific Computing, Petrópolis, Brazil. I have been trained as a mechanical engineer and applied mathematician. My field of specialization is topological asymptotic expansions of shape functionals with PDEs constraints in singularly perturbed geometrical domains. The main topic of current research is the theoretical development and application of the topological derivative method to shape and topology optimization, inverse problems, image processing, multi-scale material design and mechanical modeling including damage and fracture evolution phenomena. CV Lattes: http://lattes.cnpq.br/8102993969523532
Books
An Introduction to the Topological Derivative Method
A.A. Novotny & J. Sokolowski. SpringerBriefs in Mathematics. Springer Nature, Switzerland, 2020. https://www.springer.com/gp/book/9783030369149
Applications of the Topological Derivative Method
A.A. Novotny, J. Sokolowski & A. Zochowski. Studies in Systems, Decision and Control Series. Springer Nature, Switzerland, 2019. https://www.springer.com/gp/book/9783030054311
Topological Derivatives in Shape Optimization
A.A. Novotny & J. Sokolowski. Interaction of Mechanics and Mathematics Series. Springer-Verlag, Berlin, Heidelberg, 2013. https://www.springer.com/gp/book/9783642352447
Análise de Sensibilidade Topológica: Teoria e Aplicações
A.A. Novotny & J. Sokolowski. Notas em Matemática Aplicada. SBMAC, 2014. https://arquivo.sbmac.org.br/arquivos/notas/livro_73.pdf
Papers
A new micro-seismic model for fault reconstruction in Reissner-Mindlin plates
A.A.M. da Silva and A.A. Novotny. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 45(10):536, 2023.
Download fileReconstruction of the source term in a time-fractional diffusion equation from partial domain measurement
M. Hrizi, A.A. Novotny & R. Prakash. Journal of Geometrical Analysis, 33:168, 2023.
Download fileEmergence of elastostatic strain-gradient effects from topological optimization
V. Calisti, A. Lebée, A.A. Novotny & J. Sokolowski. European Journal of Mechanics, A/Solids, 100:104979, 2023.
Download fileReconstruction of pointwise sources in a time-fractional diffusion equation
M. Hrizi, M. Hassine & A.A. Novotny. Fractional Calculus and Applied Analysis Journal, 26(1):193-219, 2023.
Download fileImaging of mass distributions from partial domain measurement
M. Hrizi, A.A. Novotny & M. Hassine. Journal of inverse and ill-posed problems, 30(5):713-727, 2022.
Download fileOn the robustness of the topological derivative for Helmholtz problems and applications
G. Leugering, A.A. Novotny and J. Sokolowski. Control and Cybernetics, 51(2):227-248, 2022.
Download fileA Hybrid Sequential Scheme for Brittle Hydraulic Fractures in Poroelastic Media
J.M.M. Luz Filho, M. Xavier, M.A. Murad & A.A. Novotny. International Journal for Multiscale Computational Engineering, 20(3):99-123, 2022.
Download fileAggregation and regularization schemes: a probabilistic point of view
A.J. Torii, J.R. de Faria & A.A. Novotny. Structural and Multidisciplinary Optimization, 65(3):76, 2022.
Download fileGuest Editorial: On the topological derivative method and its applications in computational engineering
A.A. Novotny, S.M. Giusti, and S. Amstutz. Engineering Computations, 39(1):1-2, 2022.
Open access at https://doi.org/10.1108/EC-02-2022-759
Damage identification in plate structures based on the topological derivative method
A.A.M. da Silva & A.A. Novotny. Structural and Multidisciplinary Optimization, 65(1):7, 2022.
Download fileTopology Design Optimization of Nanophotonic Devices for Energy Concentration
R. Mattoso, L.H. Gabrielli & A.A. Novotny. Applied Mathematical Modelling, 104:517-530, 2022.
Download fileA Noniterative Reconstruction Method for Solving a Time-Fractional Inverse Source Problem from Partial Boundary Measurement
R. Prakash, M. Hrizi & A.A. Novotny. Inverse Problems, 38(1):015002, 2022.
Download fileSensitivity of the second order homogenized elasticity tensor to topological microstructural changes
V. Calisti, A. Lebée, A.A. Novotny & J. Sokolowski. Journal of Elasticity, 144:141-167, 2021.
Open access at https://doi.org/10.1007/s10659-021-09836-6
A priori error estimates for local reliability-based sensitivity analysis with Monte Carlo Simulation
A.J. Torii & A.A. Novotny, Reliability Engineering & System Safety, 213:107749, 2021.
Download fileTopological Derivative-Based Topology Optimization of Plate Structures under Bending Effects
F. Carvalho, D. Ruscheinsky, S.M. Giusti, C. Anflor & A.A. Novotny. Structural and Multidisciplinary Optimization, 63(2):617-630, 2021.
Download fileTopological Derivative-Based Topology Optimization of Structures Subject to Self-Weight Loading
A.A. Novotny, C.G. Lopes & R.B. Santos. Structural and Multidisciplinary Optimization, 63(4):1853-1861, 2021.
Download filePollution sources reconstruction based on the topological derivative method
L. Fernandez, A.A. Novotny, R. Prakash & J. Sokolowski. Applied Mathematics & Optimization, 84:1493-1525, 2021
Open access at https://doi.org/10.1007/s00245-020-09685-0
On the Kohn-Vogelius Formulation for Solving an Inverse Source Problem
P. Menoret, M. Hrizi & A.A. Novotny. Inverse Problems in Science and Engineering, 29(1):56-72, 2021
Download fileTopological asymptotic analysis of a diffusive-convective-reactive problem
D. Ruscheinsky, F. Carvalho, C. Anflor & A.A. Novotny. Engineering Computations, 38(1):477-500, 2021
Download filePointwise Antennas Design in Hyperthermia Therapy
R. Mattoso & A.A. Novotny. Applied Mathematical Modelling, 89:89-104, 2021
Download fileOn the full-waveform inversion of seismic moment tensors
A.A.S. Amad, A.A. Novotny & B.B. Guzina. International Journal of Solids and Structures, 202(1):717-728, 2020
Download fileGrowth control of cracks under contact conditions based on the topological derivative of the Rice's integral
M. Xavier, A. A. Novotny & J. Sokolowski. Control and Cybernetics, 48(2):307-323, 2020
Download fileHydro-mechanical fracture modelling governed by topological derivatives
M. Xavier, N. Van Goethem & A. A. Novotny. Computer Methods in Applied Mechanics and Engineering, 365:112974, 2020
Download fileTopology Design of Thermomechanical Actuators Combined with Heat Source Optimization
S.M. Giusti, Z. Mróz, A.A. Novotny & J. Sokolowski. Pure and Applied Functional Analysis, 4(4):825-848, 2019
Download fileRelation Between Eshelbyan Mechanics and Topological Derivative Concept
M. Xavier, A. A. Novotny & J. Sokolowski. In: H. Altenbach & A. Öchsner (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg, 2019
Download fileOptimization of the Electromagnetic Scattering Problem Based on the Topological Derivative Method
J.L. Pita Ruiz, A.A.S. Amad, L.H. Gabrielli & A.A. Novotny. Optics Express, 27(23):33586-33605, 2019
Open access at https://doi.org/10.1364/OE.27.033586
A Noniterative Reconstruction Method for the Inverse Potential Problem with Partial Boundary Measurements
L. Fernandez, A.A. Novotny & R. Prakash. Mathematical Methods in the Applied Sciences, 42(7):2256-2278, 2019
Download fileTopological Derivatives of Shape Functionals. Part I: Theory in Singularly Perturbed Geometrical Domains
A.A. Novotny, J. Sokolowski & A. Zochowski. Journal of Optimization Theory and Applications, 180(2):341-373, 2019
Download fileTopological Derivatives of Shape Functionals. Part II: First Order Method and Applications
A.A. Novotny, J. Sokolowski & A. Zochowski. Journal of Optimization Theory and Applications, 180(3):683-710, 2019
Download fileTopological Derivatives of Shape Functionals. Part III: Second Order Method and Applications
A.A. Novotny, J. Sokolowski & A. Zochowski. Journal of Optimization Theory and Applications, 181(1):1-22, 2019
Download fileCrack Growth Control Based on the Topological Derivative of the Rice’s Integral
M. Xavier, A. A. Novotny & J. Sokolowski. Journal of Elasticity, 134(2):175-191, 2019
Download fileAn Adjoint-Based Optimization Method for Gas Production in Shale Reservoirs
A.A. Novotny, M.A. Murad & S. Lima. Acta Geotechnica, 13(4): 833-852, 2018
Download fileTopological Asymptotic Analysis of an Optimal Control Problem Modeled by a Coupled System
L. Fernandez, A.A. Novotny & R. Prakash. Asymptotic Analysis, 109(1-2):1-26, 2018
Download fileHomogenized Couple Stress Model of Optimal Auxetic Structures Computed by Topology Optimization
J.F. Ganghoffer, I. Goda, A.A. Novotny, R. Rahouadj & J. Sokolowski. Journal of Applied Mathematics and Mechanics, 98(5):696-717, 2018
Download fileA Noniterative Reconstruction Method for an Inverse Potential Problem Modeled by a Modified Helmholtz Equation
L. Fernandez, A.A. Novotny & R. Prakash. Numerical Functional Analysis and Optimization, 39(9):937-966, 2018
Download fileFast Solution of the Inverse Electromagnetic Casting Problem
T.J. Machado, A. Canelas, A.A. Novotny & J.R. Roche. Structural and Multidisciplinary Optimization, 57(6): 2447-2455, 2018
Download fileA Simplified Model of Fracking Based on the Topological Derivative Concept
M. Xavier, N. Van Goethem & A. A. Novotny. International Journal of Solids and Structures, 139-140:211-223, 2018
Download fileReliability Based Topology Optimization of Structures under Stress Constraints
R.B Santos, A.J. Torii & A.A. Novotny. International Journal for Numerical Methods in Engineering, 114:660-674, 2018
Download fileDesign Optimization of Laminar Flow Machine Rotors Based on the Topological Derivative Concept
L.F.N. Sá, A.A. Novotny, J.S. Romero & E.C.N. Silva. Structural and Multidisciplinary Optimization, 56(5):1013–1026, 2017
Download fileAsymptotic Analysis of Variational Inequalities with Applications to Optimum Design in Elasticity
C. G. Lopes, R. B. Santos, A. A. Novotny & J. Sokolowski. Asymptotic Analysis, 102 (3-4):227-242, 2017
Download fileTopological Derivative-Based Topology Optimization of Structures Subject to Design-Dependent Hydrostatic Pressure Loading
M. Xavier & A.A. Novotny. Structural and Multidisciplinary Optimization, 56(1):47-57, 2017
Download fileStructural weight minimization under stress constraints and multiple loading
R.B. dos Santos, C.G. Lopes & A.A. Novotny. Mechanics Research Communication, 81:44-50, 2017
Download fileTopological Derivative-Based Fracture Modelling in Brittle Materials: A Phenomenological Approach
M. Xavier, E.A. Fancello, J.M.C. Farias, N. Van Goethem & A.A. Novotny. Engineering Fracture Mechanics, 179:13-27, 2017
Download fileObstacles Reconstruction from Partial Boundary Measurements Based on the Topological Derivative Concept
S.S. Rocha & A.A. Novotny. Structural and Multidisciplinary Optimization, 55(6):2131-2141, 2017
Download fileTopology Design of Thermomechanical Actuators
S.M. Giusti, Z. Mróz, A.A. Novotny & J. Sokolowski. Structural and Multidisciplinary Optimization, 55(5):1575-1587, 2017
Download fileA New One-Shot Pointwise Source Reconstruction Method
T.J. Machado, J.S. Angelo & A.A. Novotny. Mathematical Methods in the Applied Sciences, 40(5):1367-1381, 2017
Download fileA New Non-Iterative Reconstruction Method for the Electrical Impedance Tomography Problem
A.D. Ferreira & A.A. Novotny. Inverse Problems, 33(3):035005, 2017
Download fileA New Method for Topology Design of Electromagnetic Antennas in Hyperthermia Therapy
A.A.S. Amad, A.F.D. Loula & A.A. Novotny. Applied Mathematical Modelling, 42:209-222, 2017
Download fileTopology Design of Compliant Mechanisms with Stress Constraints Based on the Topological Derivative Concept
C.G. Lopes & A.A. Novotny. Structural and Multidisciplinary Optimization, 54(4):737-746, 2016
Download fileTopological Derivatives Applied to Fluid Flow Channel Design Optimization Problems
L. Sá, R. Amigo, A.A. Novotny & E.C.N. Silva. Structural and Multidisciplinary Optimization, 54(2):249-264, 2016
Download fileRobust Compliance Topology Optimization Based on the Topological Derivative Concept
A.J. Torii, A.A. Novotny & R.B Santos. International Journal for Numerical Methods in Engineering, 106(11):889-903, 2016
Download fileTopological Derivative Method for Electrical Impedance Tomography Problems
A. D. Ferreira, A. A. Novotny & J. Sokolowski. Informatyka Automatyka Pomiary, 6(2):4-8, 2016
Download fileEnergy Change to Insertion of Inclusions Associated with a Diffusive/Convective Steady-State Heat Conduction Problem
A.A. Novotny & V. Sales. Mathematical Methods in the Applied Sciences, 39(5):1233-1240, 2016
Download fileOptimum Design of Flextensional Piezoelectric Actuators into Two Spatial Dimensions
R. Amigo, S.M. Giusti, A.A. Novotny, E.C.N. Silva & J. Sokolowski. SIAM Journal on Control and Optimization, 54(2):760-789, 2016
Download fileA New Reconstruction Method for the Inverse Source Problem from Partial Boundary Measurements
A. Canelas, A. Laurain & A.A. Novotny. Inverse Problems, 31(7):075009, 2015
Download fileTopological derivative-based topology optimization of structures subject to multiple load-cases
C.G. Lopes, R.B. Santos & A.A. Novotny. Latin American Journal of Solids and Structures, 12(5): 834-860, 2015
Download fileEnergy Change to Insertion of Inclusions Associated with the Reissner-Mindlin Plate Bending Model
V. Sales, A.A. Novotny & J. Muñoz-Rivera. International Journal of Solids and Structures, 59:132-139, 2015
Download fileDesign of bi-metallic devices based on the topological derivative concept
S.M. Giusti & A.A. Novotny. Mechanics Research Communications, 65:1-8, 2015
Download fileTopology Design of Inductors in Electromagnetic Casting Using Level-Sets and Second Order Topological Derivatives
A. Canelas, A.A. Novotny & J.R. Roche. Structural and Multidisciplinary Optimization, 50(6):1151-1163, 2014
Download fileTopology Design of Plates Considering Different Volume Control Methods
D.E. Campeão, S.M. Giusti & A.A. Novotny. Engineering Computations, 31(5):826-842, 2014
Download fileMinimal Partitions and Image Classification Using a Gradient-Free Perimeter Approximation
S. Amstutz, A.A. Novotny & N. Van Goethem. Inverse Problems and Imaging, 8(2):361-387, 2014
Download fileA New Reconstruction Method for the Inverse Potential Problem
A. Canelas, A. Laurain & A.A. Novotny. Journal of Computational Physics, 268:417-431, 2014
Download fileTopological Sensitivity Analysis for Elliptic Differential Operators of Order 2m
S. Amstutz, A.A. Novotny & N. Van Goethem. Journal of Differential Equations, 256:1735-1770, 2014
Download fileSensitivity of a General Class of Shape Functional to Topological Changes
A.A. Novotny. Mechanics Research Communications, 51:1-7, 2013
Download fileStrain Energy Change to the Insertion of Inclusions Associated to a Thermo-Mechanical Semi-Coupled System
S.M. Giusti, A.A. Novotny, J. Muñoz-Rivera & J. Esparta Rodriguez. International Journal of Solids and Structures, 50(9):1303-1313, 2013
Download fileTopological Derivative for an Anisotropic and Heterogeneous Heat Diffusion Problem
S.M. Giusti & A.A. Novotny. Mechanics Research Communications, 46:26-33, 2012
Download fileTopological derivative-based topology optimization of structures subject to Drucker-Prager stress constraints
S. Amstutz, A.A. Novotny & E.A. de Souza Neto. Computer Methods in Applied Mechanics and Engineering, 233–236:123–136, 2012
Download fileSecond-Order Topological Expansion for Electrical Impedance Tomography
M. Hintermüller, A. Laurain & A.A. Novotny. Advances in Computational Mathematics, 36(2):235-265, 2012
Download fileTopological Asymptotic Analysis of the Kirchhoff Plate Bending Problem
S. Amstutz & A.A. Novotny. ESAIM:COCV, Control, Optimisation and Calculus of Variations, 17(3):705-721, 2011
Download fileOn Shape Optimization for an Evolution Coupled System
G. Leugering, A.A. Novotny, G. Perla Menzala & J. Sokolowski. Applied Mathematics & Optimization, 64:441-466, 2011
Download fileA New Method for Inverse Electromagnetic Casting Problems Based on the Topological Derivative
A. Canelas, A.A. Novotny & J.R. Roche. Journal of Computational Physics, 230:3570-3588, 2011
Download fileShape Sensitivity Analysis of a Quasi-Eletrostatic Piezoelectric System in Multilayered Media
G. Leugering, A.A. Novotny, G. Perla Menzala & J. Sokolowski. Mathematical Methods in the Applied Sciences, 33(17):2118–2131, 2010
Download fileCrack Nucleation Sensitivity Analysis
N. Van Goethem & A.A. Novotny. Mathematical Methods in the Applied Sciences, 33(16):1978–1994, 2010
Download fileTopological derivative for multi-scale linear elasticity models applied to the synthesis of microstructures
S. Amstutz, S.M. Giusti, A.A. Novotny & E.A. de Souza Neto. International Journal for Numerical Methods in Engineering, 84:733–756, 2010
Download fileTopological Derivative-Based Optimization of Micro-Structures Considering Different Multi-Scale Models
E.A. de Souza Neto, S. Amstutz, S.M. Giusti & A.A. Novotny. Computer Modeling in Engineering and Sciences, 62(1):23-56, 2010
Download fileSensitivity of the macroscopic response of elastic microstructures to the insertion of inclusions
S.M. Giusti, A.A. Novotny & E.A. de Souza Neto. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 466:1703–1723, 2010
Download fileTopological optimization of structures subject to von Mises stress constraints
S. Amstutz & A.A. Novotny. Structural and Multidisciplinary Optimization, 41(3):407–420, 2010
Download fileTopological Sensitivity Analysis of a Multi-Scale Constitutive Model Considering a Cracked Microstructure
A.A. Novotny, J. Sokolowski & E.A. de Souza Neto. Mathematical Methods in the Applied Sciences, 33(5):676-686, 2010
Download fileTopological Derivative for Steady-State Orthotropic Heat Diffusion Problem
S.M. Giusti, A.A. Novotny & J. Sokolowski. Structural and Multidisciplinary Optimization, 40(1):53-64, 2010
Download fileShape and topology sensitivity analysis for cracks in elastic bodies on boundaries of rigid inclusions
A.M. Khludnev, A.A. Novotny, J. Sokolowski & A. Zochowski. Journal of the Mechanics and Physics of Solids, 57(10):1718-1732, 2009
Download fileOn the Second Order Topological Asymptotic Expansion
J. Rocha de Faria & A.A. Novotny. Structural and Multidisciplinary Optimization, 39(6):547–555, 2009
Download fileOn topological derivatives for elastic solids with uncertain input data
I. Hlavacek, A.A. Novotny, J. Sokolowski & A. Zochowski. Journal of Optimization Theory and Applications, 141(3):569-595, 2009
Download fileFirst and Second Order Topological Sensitivity Analysis for Inclusions
J. Rocha de Faria, A.A. Novotny, R.A. Feijóo & E. Taroco. Inverse Problems in Science and Engineering, 17(5):665–679, 2009
Download fileA Simple Method for Tomography Reconstruction
I. Larrabide, A.A. Novotny, R.A. Feijóo & R. de Souza Leão Lima. Inverse Problems in Science and Engineering, 17(3):365-380, 2009.
Download fileSensitivity of the Macroscopic Elasticity Tensor to Topological Microstructural Changes
S.M. Giusti, A.A. Novotny, E.A. de Souza Neto & R.A. Feijóo. Journal of the Mechanics and Physics of Solids, 57(3):555-570, 2009
Download fileSensitivity of the Macroscopic Thermal Conductivity Tensor to Topological Microstructural Changes
S.M. Giusti, A.A. Novotny, E.A. de Souza Neto & R.A. Feijóo. Computer Methods in Applied Mechanics and Engineering, 198(5-8):727-739, 2009
Download fileTopological Sensitivity Analysis for Inclusions in Two-dimensional Linear Elasticity Problem
S.M. Giusti, A.A. Novotny & C. Padra. Engineering Analysis with Boundary Elements, 32(11):926-935, 2008
Download fileTopological Derivative: A Tool for Image Processing
I. Larrabide, R.A. Feijóo, A.A. Novotny & E.A. Taroco. Computers & Structures, 86(13-14):1386-1403, 2008
Download fileSecond Order Topological Sensitivity Analysis
J. Rocha de Faria, A.A. Novotny, R.A. Feijóo, E. Taroco & C. Padra. International Journal of Solids and Structures, 44(14-15):4958-4977, 2007
Download fileTopological Sensitivity Analysis for Three-dimensional Linear Elasticity Problem
A.A. Novotny, R.A. Feijóo, E. Taroco & C. Padra. Computer Methods in Applied Mechanics and Engineering, 196(41-44):4354-4364, 2007
Download fileTopological Derivative for Linear Elastic Plate Bending Problems
A.A. Novotny, R.A. Feijóo, C. Padra & E. Taroco. Control and Cybernetics, 34(1):339-361, 2005
Download fileTopological Sensitivity Analysis
A.A. Novotny, R.A. Feijóo, E. Taroco & C. Padra. Computer Methods in Applied Mechanics and Engineering, 192(7-8):803-829, 2003
Download fileThe Topological Derivative for the Poisson's Problem
R.A. Feijóo, A.A. Novotny, E. Taroco & C. Padra. Mathematical Models and Methods in Applied Sciences, 13(12):1825-1844, 2003
Download fileA Fast hp Adaptive Finite Element Mesh Design
A.A. Novotny, J. Tomás Pereira, E.A. Fancello & C.S. Barcellos. Computer Methods in Applied Mechanics and Engineering, 190(1-2):133-148, 2000
Download fileMatLab Codes
Compliance Topology Optimization
Computes the topological derivative and use it together with a level-set domain representation method in the context of structural compliance topology optimization design
Download fileSynthesis of Compliant Mechanisms
Computes the topological derivative and use it together with a level-set domain representation method in the context of compliant mechanisms topology optimization design
Download file