Topological asymptotic analysis for tumor identification problem

DOI10.3233/ASY-201635zbMath1487.35375OpenAlexW3092702226MaRDI QIDQ5155157

Nejmeddine Chorfi, Emna Ghezaiel, Maatoug Hassine

Publication date: 6 October 2021

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-201635

zbMATH Keywords

inverse problemasymptotic analysistopological sensitivityKohn-Vogelius formulation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Cell biology (92C37) Optimality conditions for free problems in two or more independent variables (49K10) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Diffusive and convective heat and mass transfer, heat flow (80A19) Topological methods (93B24)

Cites Work

• Unnamed Item
• Tumor location and parameter estimation by thermography
• Optimal shape design for fluid flow using topological perturbation technique
• Modeling of multidimensional freezing problem during cryosurgery by the dual reciprocity boundary element method
• Topological Sensitivity Analysis for the Location of Small Cavities in Stokes Flow
• Solving Cauchy problems by minimizing an energy-like functional
• The topological asymptotic expansion for the Quasi-Stokes problem

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