Go to content
UR Home

An extension of the projected gradient method to a Banach space setting with application in structural topology optimization

URN to cite this document:
DOI to cite this document:
Blank, Luise ; Rupprecht, Christoph
Date of publication of this fulltext: 12 Jan 2016 13:00


For the minimization of a nonlinear cost functional j under convex constraints the relaxed projected gradient process φk+1=φk+αk(PH(φk−λk∇Hj(φk))−φk) is a well known method. The analysis is classically performed in a Hilbert space H. We generalize this method to functionals j which are differentiable in a Banach space. Thus it is possible to perform e.g. an L2 gradient method if j is only ...


Owner only: item control page
  1. Homepage UR

University Library

Publication Server


Publishing: oa@ur.de
0941 943 -4239 or -69394

Dissertations: dissertationen@ur.de
0941 943 -3904

Research data: datahub@ur.de
0941 943 -5707

Contact persons