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An Extremal Problem Arising in the Dynamics of Two‐Phase Materials That Directly Reveals Information about the Internal Geometry
Ornella Mattei, Graeme W. Milton and Mihai Putinar Communications on Pure and Applied Mathematics 76(10) 2372 (2023) https://doi.org/10.1002/cpa.22082
Geometric Properties for Parabolic and Elliptic PDE's
Yong-Gwan Ji, Hyeonbae Kang, Xiaofei Li and Shigeru Sakaguchi Springer INdAM Series, Geometric Properties for Parabolic and Elliptic PDE's 47 151 (2021) https://doi.org/10.1007/978-3-030-73363-6_8
Maximizing the Electromagnetic Chirality of Thin Dielectric Tubes
Tilo Arens, Roland Griesmaier and Marvin Knöller SIAM Journal on Applied Mathematics 81(5) 1979 (2021) https://doi.org/10.1137/21M1393509
Pollution Sources Reconstruction Based on the Topological Derivative Method
An Asymptotic Representation Formula for Scattering by Thin Tubular Structures and an Application in Inverse Scattering
Yves Capdeboscq, Roland Griesmaier and Marvin Knöller Multiscale Modeling & Simulation 19(2) 846 (2021) https://doi.org/10.1137/20M1369907
Numerical size estimates of inclusions in Kirchhoff–Love elastic plates
Antonio Bilotta, Antonino Morassi, Edi Rosset, Emilio Turco and Sergio Vessella International Journal of Solids and Structures 168 58 (2019) https://doi.org/10.1016/j.ijsolstr.2019.03.006
Topological Derivatives of Shape Functionals. Part III: Second-Order Method and Applications
Antonio André Novotny, Jan Sokołowski and Antoni Żochowski Journal of Optimization Theory and Applications 181(1) 1 (2019) https://doi.org/10.1007/s10957-018-1420-4
Obstacles reconstruction from partial boundary measurements based on the topological derivative concept
Bounds on the Size of an Inclusion Using the Translation Method for Two-Dimensional Complex Conductivity
Hyeonbae Kang, Kyoungsun Kim, Hyundae Lee, Xiaofei Li and Graeme W. Milton SIAM Journal on Applied Mathematics 74(4) 939 (2014) https://doi.org/10.1137/130940426
A source sensitivity approach for source localization in steady-state linear systems
Sharp bounds on the volume fractions of two materials in a two-dimensional body from electrical boundary measurements: the translation method
Hyeonbae Kang, Eunjoo Kim and Graeme W. Milton Calculus of Variations and Partial Differential Equations 45(3-4) 367 (2012) https://doi.org/10.1007/s00526-011-0462-3
Universal bounds on the electrical and elastic response of two-phase bodies and their application to bounding the volume fraction from boundary measurements
Transient anomaly imaging by the acoustic radiation force
Habib Ammari, Pierre Garapon, Lili Guadarrama Bustos and Hyeonbae Kang Journal of Differential Equations 249(7) 1579 (2010) https://doi.org/10.1016/j.jde.2010.07.012
Reconstruction of Thin Tubular Inclusions in Three-Dimensional Domains Using Electrical Impedance Tomography
MUSIC‐Type Electromagnetic Imaging of a Collection of Small Three‐Dimensional Inclusions
Habib Ammari, Ekaterina Iakovleva, Dominique Lesselier and Gaële Perrusson SIAM Journal on Scientific Computing 29(2) 674 (2007) https://doi.org/10.1137/050640655
IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials
Yves Capdeboscq Solid Mechanics and Its Applications, IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials 137 197 (2006) https://doi.org/10.1007/1-4020-4752-5_20