Achtziger, Wolfgang; Baier, Robert; Farkhi, Elza; Roshchina, Vera Exact penalty and Lagrange duality via the directed subdifferential. (English) Zbl 1375.49020 Pure Appl. Funct. Anal. 2, No. 2, 183-220 (2017). MSC: 49J52 90C26 26B25 PDFBibTeX XMLCite \textit{W. Achtziger} et al., Pure Appl. Funct. Anal. 2, No. 2, 183--220 (2017; Zbl 1375.49020) Full Text: Link
Achtziger, Wolfgang; Hoheisel, Tim; Kanzow, Christian A smoothing-regularization approach to mathematical programs with vanishing constraints. (English) Zbl 1291.90234 Comput. Optim. Appl. 55, No. 3, 733-767 (2013). MSC: 90C30 PDFBibTeX XMLCite \textit{W. Achtziger} et al., Comput. Optim. Appl. 55, No. 3, 733--767 (2013; Zbl 1291.90234) Full Text: DOI
Achtziger, Wolfgang; Kanzow, Christian; Hoheisel, Tim On a relaxation method for mathematical programs with vanishing constraints. (English) Zbl 1256.49032 GAMM-Mitt. 35, No. 2, 110-130 (2012). MSC: 49M20 65K10 90C31 90C33 90C90 PDFBibTeX XMLCite \textit{W. Achtziger} et al., GAMM-Mitt. 35, No. 2, 110--130 (2012; Zbl 1256.49032) Full Text: DOI
Achtziger, Wolfgang; Stolpe, Mathias Global optimization of truss topology with discrete bar areas. II: Implementation and numerical results. (English) Zbl 1184.90110 Comput. Optim. Appl. 44, No. 2, 315-341 (2009). MSC: 90C11 90C57 PDFBibTeX XMLCite \textit{W. Achtziger} and \textit{M. Stolpe}, Comput. Optim. Appl. 44, No. 2, 315--341 (2009; Zbl 1184.90110) Full Text: DOI
Achtziger, Wolfgang; Stolpe, Mathias Global optimization of truss topology with discrete bar areas. I: Theory of relaxed problems. (English) Zbl 1181.90202 Comput. Optim. Appl. 40, No. 2, 247-280 (2008). MSC: 90C11 90C57 74P10 PDFBibTeX XMLCite \textit{W. Achtziger} and \textit{M. Stolpe}, Comput. Optim. Appl. 40, No. 2, 247--280 (2008; Zbl 1181.90202) Full Text: DOI
Achtziger, Wolfgang; Kanzow, Christian Mathematical programs with vanishing constraints: optimality conditions and constraint qualifications. (English) Zbl 1151.90046 Math. Program. 114, No. 1 (A), 69-99 (2008). Reviewer: Stephan Dempe (Freiberg) MSC: 90C30 90C46 PDFBibTeX XMLCite \textit{W. Achtziger} and \textit{C. Kanzow}, Math. Program. 114, No. 1 (A), 69--99 (2008; Zbl 1151.90046) Full Text: DOI
Achtziger, Wolfgang; Kočvara, Michal On the maximization of the fundamental eigenvalue in topology optimization. (English) Zbl 1273.74408 Struct. Multidiscip. Optim. 34, No. 3, 181-195 (2007). MSC: 74P99 74P15 90C22 PDFBibTeX XMLCite \textit{W. Achtziger} and \textit{M. Kočvara}, Struct. Multidiscip. Optim. 34, No. 3, 181--195 (2007; Zbl 1273.74408) Full Text: DOI
Achtziger, Wolfgang; Stolpe, Mathias Truss topology optimization with discrete design variables – guaranteed global optimality and benchmark examples. (English) Zbl 1273.74396 Struct. Multidiscip. Optim. 34, No. 1, 1-20 (2007). MSC: 74P15 90C90 90C09 90C57 PDFBibTeX XMLCite \textit{W. Achtziger} and \textit{M. Stolpe}, Struct. Multidiscip. Optim. 34, No. 1, 1--20 (2007; Zbl 1273.74396) Full Text: DOI
Achtziger, Wolfgang On simultaneous optimization of truss geometry and topology. (English) Zbl 1245.90112 Struct. Multidiscip. Optim. 33, No. 4-5, 285-304 (2007). MSC: 90C29 74P05 90C90 65K05 74K10 PDFBibTeX XMLCite \textit{W. Achtziger}, Struct. Multidiscip. Optim. 33, No. 4--5, 285--304 (2007; Zbl 1245.90112) Full Text: DOI
Achtziger, Wolfgang; Kočvara, Michal Structural topology optimization with eigenvalues. (English) Zbl 1149.74044 SIAM J. Optim. 18, No. 4, 1129-1164 (2007). MSC: 74P15 74H15 74K10 PDFBibTeX XMLCite \textit{W. Achtziger} and \textit{M. Kočvara}, SIAM J. Optim. 18, No. 4, 1129--1164 (2007; Zbl 1149.74044) Full Text: DOI Link
Zimmermann, Karl-Heinz; Achtziger, Wolfgang Optimal piecewise linear schedules for LSGP- and LPGS-decomposed array processors via quadratic programming. (English) Zbl 0985.68101 Comput. Phys. Commun. 139, No. 1, 64-89 (2001). MSC: 68W35 68M20 90C20 PDFBibTeX XMLCite \textit{K.-H. Zimmermann} and \textit{W. Achtziger}, Comput. Phys. Commun. 139, No. 1, 64--89 (2001; Zbl 0985.68101) Full Text: DOI
Achtziger, W.; Bendsøe, M. P. Optimal design of discrete engineering structures resisting effects of material degradation. (English) Zbl 1007.90083 Inderfurth, K. (ed.) et al., Operations research proceedings 1999. Selected papers of the symposium (SOR ’99), Magdeburg, Germany, September 1-3, 1999. Berlin: Springer. 1-6 (2000). MSC: 90C90 90C25 PDFBibTeX XMLCite \textit{W. Achtziger} and \textit{M. P. Bendsøe}, in: Operations research proceedings 1999. Selected papers of the symposium (SOR '99), Magdeburg, Germany, September 1--3, 1999. Berlin: Springer. 1--6 (2000; Zbl 1007.90083)
Achtziger, Wolfgang; Zimmermann, Karl-Heinz Finding quadratic schedules for affine recurrence equations via nonsmooth optimization. (English) Zbl 0962.68018 J. VLSI Signal Process. Syst. Signal Image Video Technol. 25, No. 3, 235-260 (2000). MSC: 68M20 PDFBibTeX XMLCite \textit{W. Achtziger} and \textit{K.-H. Zimmermann}, J. VLSI Signal Process. Syst. Signal Image Video Technol. 25, No. 3, 235--260 (2000; Zbl 0962.68018) Full Text: DOI
Achtziger, W.; Bendsøe, M. P.; Taylor, J. E. An optimization problem for predicting the maximal effect of degradation of mechanical structures. (English) Zbl 1005.74050 SIAM J. Optim. 10, No. 4, 982-998 (2000). Reviewer: Stefan Jendo (Warszawa) MSC: 74P10 74K10 PDFBibTeX XMLCite \textit{W. Achtziger} et al., SIAM J. Optim. 10, No. 4, 982--998 (2000; Zbl 1005.74050) Full Text: DOI
Achtziger, Wolfgang Optimization with variable sets of constraints and an application to truss design. (English) Zbl 0942.90036 Comput. Optim. Appl. 15, No. 1, 69-96 (2000). MSC: 90C30 90C31 90C59 PDFBibTeX XMLCite \textit{W. Achtziger}, Comput. Optim. Appl. 15, No. 1, 69--96 (2000; Zbl 0942.90036) Full Text: DOI
Achtziger, W. A numerical approach to optimization w. r. t. variable-dependent constraint-indices. (English) Zbl 0965.90048 Kall, Peter (ed.) et al., Operations research proceedings 1998. Selected papers of the 4th annual international conference, OR98 held in Zürich, Switzerland, August 31-September 3, 1998. Berlin: Springer. 83-92 (1999). MSC: 90C30 90C31 PDFBibTeX XMLCite \textit{W. Achtziger}, in: Operations research proceedings 1998. Selected papers of the 4th annual international conference, OR98 held in Zürich, Switzerland, August 31--September 3, 1998. Berlin: Springer. 83--92 (1999; Zbl 0965.90048)
Achtziger, Wolfgang; Bendsøe, Martin P.; Taylor, John E. Bounds on the effect of progressive structural degradation. (English) Zbl 0971.74053 J. Mech. Phys. Solids 46, No. 6, 1055-1087 (1998). MSC: 74K99 74P99 PDFBibTeX XMLCite \textit{W. Achtziger} et al., J. Mech. Phys. Solids 46, No. 6, 1055--1087 (1998; Zbl 0971.74053) Full Text: DOI
Zimmermann, Karl-Heinz; Achtziger, Wolfgang On time optimal implementation of uniform recurrences onto array processors via quadratic programming. (English) Zbl 0907.68036 J. VLSI Signal Process. Syst. Signal Image Video Technol. 19, No. 1, 19-38 (1998). MSC: 68M99 90C30 PDFBibTeX XMLCite \textit{K.-H. Zimmermann} and \textit{W. Achtziger}, J. VLSI Signal Process. Syst. Signal Image Video Technol. 19, No. 1, 19--38 (1998; Zbl 0907.68036) Full Text: DOI
Achtziger, W. Multiple-load truss topology and sizing optimization: Some properties of minimax compliance. (English) Zbl 0915.73036 J. Optimization Theory Appl. 98, No. 2, 255-280 (1998). MSC: 74P99 90C99 PDFBibTeX XMLCite \textit{W. Achtziger}, J. Optim. Theory Appl. 98, No. 2, 255--280 (1998; Zbl 0915.73036) Full Text: DOI
Zowe, J.; Achtziger, W.; Kočvara, M.; Hörnlein, H.; Oberndorfer, J. Automated design of trusses, structural components and materials. (Automatisiertes Design von Stabwerken, Bauteilen und Materialien.) (German) Zbl 0863.73041 Hoffmann, Karl-Heinz (ed.) et al., Mathematik: Schlüsseltechnologie für die Zukunft. Verbundprojekte zwischen Universität und Industrie. Berlin: Springer. 525-536 (1997). MSC: 74P99 74S30 74P10 PDFBibTeX XMLCite \textit{J. Zowe} et al., in: Mathematik: Schlüsseltechnologie für die Zukunft. Verbundprojekte zwischen Universität und Industrie. Berlin: Springer. 525--536 (1997; Zbl 0863.73041)
Achtziger, W. Topology optimization of discrete structures. An introduction in view of computational and nonsmooth aspects. (English) Zbl 0885.73048 Rozvany, G. I. N. (ed.), Topology optimization in structural mechanics. Wien: Springer. CISM Courses Lect. 374, 57-100 (1997). MSC: 74P99 74S30 65K10 PDFBibTeX XMLCite \textit{W. Achtziger}, CISM Courses Lect. 374, 57--100 (1997; Zbl 0885.73048)
Achtziger, W. Optimization of single- and multi-loaded bar trusses. (Optimierung von einfach und mehrfach belasteten Stabwerken.) (German) Zbl 0796.73043 Bayreuther Mathematische Schriften 46. Bayreuth: Univ. Bayreuth, Lehrst. II f. Math. xviii, 353 p. (1993). Reviewer: St.Jendo (Warszawa) MSC: 74P99 74S05 74B05 PDFBibTeX XMLCite \textit{W. Achtziger}, Optimierung von einfach und mehrfach belasteten Stabwerken. Bayreuth: Univ. Bayreuth, Lehrst. II f. Math. (1993; Zbl 0796.73043)
Achtziger, W.; Bendsøe, Martin P.; Ben-Tal, A.; Zowe, J. Equivalent displacement based formulations for maximum strength truss topology design. (English) Zbl 0769.73054 IMPACT Comput. Sci. Eng. 4, No. 4, 315-345 (1992). Reviewer: W.Achtziger (Bayreuth) MSC: 74P99 74K10 90C90 PDFBibTeX XMLCite \textit{W. Achtziger} et al., IMPACT Comput. Sci. Eng. 4, No. 4, 315--345 (1992; Zbl 0769.73054) Full Text: DOI