IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
ADAPTIVE FINITE ELEMENT METHOD FOR SHAPE OPTIMIZATION
Autor/es:
MORIN, PEDRO; NOCHETTO, RICARDO; PAULETTI, M. SEBASTIAN; VERANI, MARCO
Revista:
ESAIM. COCV
Editorial:
EDP Science
Referencias:
Año: 2011
ISSN:
1292-8119
Resumen:
We examine shape optimization problems in the context of inexact sequential quadraticprogramming. Inexactness is a consequence of using adaptive finite element methods (AFEM) toapproximate the state and adjoint equations (via the dual weighted residual method), update theboundary, and compute the geometric functional. We present a novel algorithm that equidistributesthe errors due to shape optimization and discretization, thereby leading to coarse resolution in theearly stages and fine resolution upon convergence, and thus optimizing the computational effort. Wediscuss the ability of the algorithm to detect whether or not geometric singularities such as cornersare genuine to the problem or simply due to lack of resolution—a new paradigm in adaptivity.