Para acceder a los documentos con el texto completo, por favor, siga el siguiente enlace: http://hdl.handle.net/2117/113279
|
Título:
|
An equilibrated fluxes approach to the certified descent algorithm for shape optimization using conforming finite element and discontinuous Galerkin discretizations
|
|
Autor/a:
|
Giacomini, Matteo
|
|
Otros autores:
|
Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
|
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 the equilibrated fluxes approach, we construct a unified strategy valid for both conforming finite element approximations and discontinuous Galerkin discretizations. The new variant of the CDA is tested on the inverse identification problem of electrical impedance tomography: both its ability to identify a genuine descent direction at each iteration and its reliable stopping criterion are confirmed. |
|
Abstract:
|
Peer Reviewed |
|
Materia(s):
|
-Àrees temàtiques de la UPC::Informàtica::Automàtica i control
-Shape optimization
-Shape optimization Certified descent algorithm A posteriori error estimator Equilibrated fluxes Conforming finite element Discontinuous Galerkin Electrical impedance tomography
-Optimització |
|
Derechos:
|
|
|
Tipo de documento:
|
Artículo - Versión presentada
Artículo |
|
Compartir:
|
|
Mostrar el registro completo del ítem
