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An equilibrated fluxes approach to the certified descent algorithm for shape optimization using conforming finite element and discontinuous Galerkin discretizations

Author
Giacomini, M.
Type of activity
Journal article
Journal
Journal of scientific computing
Date of publication
2017-09-07
First page
1
Last page
36
DOI
https://doi.org/10.1007/s10915-017-0545-1 Open in new window
Repository
http://hdl.handle.net/2117/113279 Open in new window
URL
https://link.springer.com/article/10.1007/s10915-017-0545-1 Open in new window
Abstract
The certified descent algorithm (CDA) is a gradient-based method for shape optimization which certifies that the direction computed using the shape gradient is a genuine descent direction for the objective functional under analysis. It relies on the computation of an upper bound of the error introduced by the finite element approximation of the shape gradient. In this paper, we present a goal-oriented error estimator which depends solely on local quantities and is fully-computable. By means of t...
Citation
Giacomini, M. An equilibrated fluxes approach to the certified descent algorithm for shape optimization using conforming finite element and discontinuous Galerkin discretizations. "Journal of scientific computing", 7 Setembre 2017, p. 1-36.
Keywords
Shape optimization Certified descent algorithm A posteriori error estimator Equilibrated fluxes Conforming finite element Discontinuous Galerkin Electrical impedance tomography
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

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