Creator:

Iguernane, Mohamed ; Nazarov, Serguei A. ; Roche, Jean-Rodolphe ; Sokołowski, Jan ; Szulc, Katarzyna

Contributor:

Korbicz, Józef - ed.

Title:

Topological derivatives for semilinear elliptic equations

Group publication title:

AMCS, volume 19 (2009)

Subject and Keywords:

shape optimization ; topological derivative ; levelset method ; variational inequality ; asymptotic analysis

Abstract:

The form of topological derivatives for an integral shape functional is derived for a class of semilinear elliptic equations. The convergence of finite element approximation for the topological derivatives is shown and the error estimates in the L? norm are obtained. The results of numerical experiments which confirm the theoretical convergence rate are presented.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2009

Resource Type:

artykuł

DOI:

10.2478/v10006-009-0016-4

Pages:

191-205

Source:

AMCS, volume 19, number 2 (2009) ; click here to follow the link

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego