Work

Ana posteriorierror estimator for shape optimization: application to EIT

Year: 2015

Type: conference-paper

Abstract: In this paper we account for the numerical error introduced by the Finite Element approximation of the shape gradient to construct a guaranteed shape optimization method. We present a goal-oriented strategy inspired by the complementary energy principle to construct a constant-free, fully-computable a posteriori error estimator and to derive a certified upper bound of the error in the shape gradient. The resulting Adaptive Boundary Variation Algorithm (ABVA) is able to identify a genuine descent direction at each iteration and features a reliable stopping criterion for the optimization loop. Some preliminary numerical results for the inverse identification problem of Electrical Impedance Tomography are presented.

Source: Journal of Physics Conference Series

DOI: 10.1088/1742-6596/657/1/012004

Authors: M Giacomini, O Pantz, K Trabelsi

Institutions: Institut national de recherche en sciences et technologies du numérique, École Polytechnique, Centre de Mathématiques Appliquées de l'École polytechnique, Centre Inria de Saclay, Institut Polytechnique des Sciences Avancées

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2296958142

FWCI: 3.858

Cites: 8

Cited by: 5

Related to: 10