Schulz, Volker; Siebenborn, Martin Computational comparison of surface metrics for PDE constrained shape optimization. (English) Zbl 1342.49065 Comput. Methods Appl. Math. 16, No. 3, 485-496 (2016). MSC: 49Q10 49M15 49M25 65K10 65N30 90C53 PDFBibTeX XMLCite \textit{V. Schulz} and \textit{M. Siebenborn}, Comput. Methods Appl. Math. 16, No. 3, 485--496 (2016; Zbl 1342.49065) Full Text: DOI arXiv
Schulz, Volker H.; Siebenborn, Martin; Welker, Kathrin PDE constrained shape optimization as optimization on shape manifolds. (English) Zbl 1406.49051 Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 499-508 (2015). MSC: 49Q10 49M15 53B20 94A15 PDFBibTeX XMLCite \textit{V. H. Schulz} et al., Lect. Notes Comput. Sci. 9389, 499--508 (2015; Zbl 1406.49051) Full Text: DOI
Schulz, Volker H.; Siebenborn, Martin; Welker, Kathrin Towards a Lagrange-Newton approach for PDE constrained shape optimization. (English) Zbl 1329.49092 Pratelli, Aldo (ed.) et al., New trends in shape optimization. Cham: Birkhäuser/Springer (ISBN 978-3-319-17562-1/hbk; 978-3-319-17563-8/ebook). ISNM. International Series of Numerical Mathematics 166, 229-249 (2015). MSC: 49Q10 49M15 PDFBibTeX XMLCite \textit{V. H. Schulz} et al., ISNM, Int. Ser. Numer. Math. 166, 229--249 (2015; Zbl 1329.49092) Full Text: DOI arXiv