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An Equilibrated Fluxes Approach to the Certified Descent Algorithm for Shape Optimization Using Conforming Finite Element and Discontinuous Galerkin Discretizations

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Journal of Scientific Computing 75 (1) 560 (2018)
DOI: 10.1007/s10915-017-0545-1
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Higher-Order Moving Mesh Methods for PDE-Constrained Shape Optimization

Alberto Paganini, Florian Wechsung and Patrick E. Farrell
SIAM Journal on Scientific Computing 40 (4) A2356 (2018)
DOI: 10.1137/17M1133956
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Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT

Elena Beretta, Stefano Micheletti, Simona Perotto and Matteo Santacesaria
Journal of Computational Physics 353 264 (2018)
DOI: 10.1016/j.jcp.2017.10.017
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