RECONSTRUCTION OF SINGULAR SURFACES BY SHAPE SENSITIVITY ANALYSIS AND LEVEL SET METHOD

DOI10.1142/S021820250600156XzbMath1115.35144OpenAlexW1986160074MaRDI QIDQ5485727

Kui Ren, Guillaume Bal

Publication date: 4 September 2006

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021820250600156x

zbMATH Keywords

inverse problemslevel set methoddiffusion equationsinterface conditionsshape sensitivity analysisoptical tomographyclear layerstangential diffusion process

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (5)

Crack reconstruction using a level-set strategy ⋮ Sparsity and level set regularization for diffuse optical tomography using a transport model in 2D ⋮ Level Set Methods for Structural Inversion and Image Reconstruction ⋮ Smooth and robust solutions for Dirichlet boundary control of fluid-solid conjugate heat transfer problems ⋮ Reconstruction of shapes and impedance functions using few far-field measurements

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