On the resolution of an inverse problem by shape optimization techniques

DOI10.1155/2019/7684637zbMath1474.76025OpenAlexW2939360603WikidataQ128113837 ScholiaQ128113837MaRDI QIDQ2632536

Chahnaz Zakia Timimoun

Publication date: 14 May 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/7684637

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Optimization of shapes other than minimal surfaces (49Q10) Flow control and optimization for incompressible viscous fluids (76D55) Numerical solution to inverse problems in abstract spaces (65J22)

Cites Work

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• A Kohn-Vogelius formulation to detect an obstacle immersed in a fluid
• Variation and optimization of formes. A geometric analysis
• DETECTING AN OBSTACLE IMMERSED IN A FLUID BY SHAPE OPTIMIZATION METHODS
• Differentiation with Respect to the Domain in Boundary Value Problems
• Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
• Identification of immersed obstacles via boundary measurements

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