Antoine Laurain

University of Duisburg-Essen — Germany

Engineering · Physical Sciences

18h-index1.1kcitations80works0.42yr avg
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Research Topics

Topology Optimization in Engineering(28), Advanced Mathematical Modeling in Engineering(27), Numerical methods in inverse problems(19), Advanced Numerical Methods in Computational Mathematics(14), Advanced Numerical Analysis Techniques(13)

Publications80 total

FormOpt: A FEniCSx toolbox for level set-based shape optimization supporting parallel computing
ArXiv.org·2026Open Access
FormOpt: A FEniCSx toolbox for level set-based shape optimization supporting parallel computing
arXiv (Cornell University)·2026Open Access
Space-time Control of Stokes Swimmers
SSRN Electronic Journal·2026Open Access
Shape optimization of polytopes and application to the polyhedral Saint–Venant inequality
Computational Optimization and Applications·2025Open Access
Sensitivity analysis and optimization of centroidal Voronoi tessellations with geometric constraints
Optimization and Engineering·2025
Reconstruction of Voronoi diagrams: the case of inverse conductivity problems
Inverse Problems·2025
On second-order tensor representation of derivatives in shape optimization
Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences·2024· 1 citedOpen Access
Analysis and application of a lower envelope method for sharp-interface multiphase problems
Control and Cybernetics·2024Open Access
Reconstruction of Voronoi diagrams in inverse potential problems
ESAIM Control Optimisation and Calculus of Variations·2024· 3 citedOpen Access
Topological Derivative‐Based Heat Sink Design with Temperature Constraints
2024Open Access
Shape Optimization for Covering Problems
Notices of the American Mathematical Society·2023Open Access
Bounds on the Optimal Radius When Covering a Set with Minimum Radius Identical Disks
Mathematics of Operations Research·2023· 3 cited
Optimization of the First Dirichlet Laplacian Eigenvalue with Respect to a Union of Balls
Journal of Geometric Analysis·2023· 2 cited
An abstract Lagrangian framework for computing shape derivatives
ESAIM Control Optimisation and Calculus of Variations·2022· 9 citedOpen Access
A Shape-Newton Approach to the Problem of Covering with Identical Balls
SIAM Journal on Scientific Computing·2022· 13 citedOpen Access
Sensitivity analysis and tailored design of minimization diagrams
arXiv (Cornell University)·2021Open Access
Analysis and application of a lower envelope method for sharp-interface multiphase problems
arXiv (Cornell University)·2021Open Access
Shape optimization in acoustic–structure interaction
Engineering Computations·2021· 8 citedOpen Access
A Shape-Newton approach to the problem of covering with identical balls
arXiv (Cornell University)·2021Open Access
Optimal control of volume-preserving mean curvature flow
Journal of Computational Physics·2021· 7 citedOpen Access
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Frequent Co-authors

Michael Hintermüller(13), Ernesto G. Birgin(5), Jan Sokołowski(4), Kevin Sturm(3), Antônio André Novotny(3), Manuel Freiberger(3), Yannick Privat(2), Piotr Fulmański(2), Jean-François Scheid(2), Alfredo Canelas(2), Irwin Yousept(2), Stephen L. Keeling(2), Florian Knöll(2), Hermann Scharfetter(2), Shawn W. Walker(2), Rafael Massambone(2), Arthur G. Santana(2), Alice Reinbacher‐Köstinger(2), Jimmy Lamboley(1), Grégoire Nadin(1)