Approximate Shape Gradients for Interface Problems
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Publication:3466794
DOI10.1007/978-3-319-17563-8_9zbMath1329.49096OpenAlexW2493614308MaRDI QIDQ3466794
Publication date: 25 January 2016
Published in: New Trends in Shape Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-17563-8_9
Optimization of shapes other than minimal surfaces (49Q10) Discrete approximations in optimal control (49M25) Sensitivity analysis for optimization problems on manifolds (49Q12)
Related Items (13)
Computational comparison of surface metrics for PDE constrained shape optimization ⋮ Shape optimization for interface identification with obstacle problems ⋮ Structured Inverse Modeling in Parabolic Diffusion Problems ⋮ Efficient PDE Constrained Shape Optimization Based on Steklov--Poincaré-Type Metrics ⋮ A quasi-Newton method in shape optimization for a transmission problem ⋮ Higher-Order Moving Mesh Methods for PDE-Constrained Shape Optimization ⋮ Improved Discrete Boundary Type Shape Gradients for PDE-constrained Shape Optimization ⋮ On diffeologies from infinite dimensional geometry to PDE constrained optimization ⋮ On diffeologies for power sets and measures ⋮ Recovering elastic inclusions by shape optimization methods with immersed finite elements ⋮ Suitable spaces for shape optimization ⋮ An equilibrated fluxes approach to the certified descent algorithm for shape optimization using conforming finite element and discontinuous Galerkin discretizations ⋮ Classical optimal designs on annulus and numerical approximations
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