Clason, Christian; Tameling, Carla; Wirth, Benedikt Convex relaxation of discrete vector-valued optimization problems. (English) Zbl 1476.49020 SIAM Rev. 63, No. 4, 783-821 (2021). MSC: 49J45 49J15 49J20 49K40 49M15 90C25 49J30 74B05 92C55 PDFBibTeX XMLCite \textit{C. Clason} et al., SIAM Rev. 63, No. 4, 783--821 (2021; Zbl 1476.49020) Full Text: DOI arXiv
Clason, Christian; Kunisch, Karl; Trautmann, Philip Optimal control of the principal coefficient in a scalar wave equation. (English) Zbl 1475.49003 Appl. Math. Optim. 84, No. 3, 2889-2921 (2021). MSC: 49J20 49K20 49M29 65N30 PDFBibTeX XMLCite \textit{C. Clason} et al., Appl. Math. Optim. 84, No. 3, 2889--2921 (2021; Zbl 1475.49003) Full Text: DOI arXiv
Clason, Christian; Mazurenko, Stanislav; Valkonen, Tuomo Primal-dual proximal splitting and generalized conjugation in non-smooth non-convex optimization. (English) Zbl 1478.90095 Appl. Math. Optim. 84, No. 2, 1239-1284 (2021). MSC: 90C26 65K10 65K15 90C30 90C47 PDFBibTeX XMLCite \textit{C. Clason} et al., Appl. Math. Optim. 84, No. 2, 1239--1284 (2021; Zbl 1478.90095) Full Text: DOI arXiv
Clason, Christian; Mazurenko, Stanislav; Valkonen, Tuomo Acceleration and global convergence of a first-order primal-dual method for nonconvex problems. (English) Zbl 1414.49037 SIAM J. Optim. 29, No. 1, 933-963 (2019). MSC: 49M29 49J53 49N45 PDFBibTeX XMLCite \textit{C. Clason} et al., SIAM J. Optim. 29, No. 1, 933--963 (2019; Zbl 1414.49037) Full Text: DOI arXiv
Clason, Christian; Do, Thi Bich Tram Convex regularization of discrete-valued inverse problems. (English) Zbl 06976710 Hofmann, Bernd (ed.) et al., New trends in parameter identification for mathematical models. Proceedings of the conference, Rio de Janeiro, Brazil, October 30 – November 3, 2017. Cham: Birkhäuser. Trends Math., 31-51 (2018). MSC: 47A52 65-XX PDFBibTeX XMLCite \textit{C. Clason} and \textit{T. B. T. Do}, in: New trends in parameter identification for mathematical models. Proceedings of the conference, Rio de Janeiro, Brazil, October 30 -- November 3, 2017. Cham: Birkhäuser. 31--51 (2018; Zbl 06976710) Full Text: DOI arXiv
Clason, Christian; Tameling, Carla; Wirth, Benedikt Vector-valued multibang control of differential equations. (English) Zbl 1393.49007 SIAM J. Control Optim. 56, No. 3, 2295-2326 (2018). MSC: 49J45 49J15 49J20 49K40 49M15 PDFBibTeX XMLCite \textit{C. Clason} et al., SIAM J. Control Optim. 56, No. 3, 2295--2326 (2018; Zbl 1393.49007) Full Text: DOI arXiv
Barnard, Richard C.; Clason, Christian \(L^1\) penalization of volumetric dose objectives in optimal control of PDEs. (English) Zbl 1375.49021 Comput. Optim. Appl. 67, No. 2, 401-419 (2017). MSC: 49J52 49J20 49M15 PDFBibTeX XMLCite \textit{R. C. Barnard} and \textit{C. Clason}, Comput. Optim. Appl. 67, No. 2, 401--419 (2017; Zbl 1375.49021) Full Text: DOI arXiv
Clason, Christian; Valkonen, Tuomo Primal-dual extragradient methods for nonlinear nonsmooth PDE-constrained optimization. (English) Zbl 1369.49040 SIAM J. Optim. 27, No. 3, 1314-1339 (2017). MSC: 49M29 49J53 49N45 PDFBibTeX XMLCite \textit{C. Clason} and \textit{T. Valkonen}, SIAM J. Optim. 27, No. 3, 1314--1339 (2017; Zbl 1369.49040) Full Text: DOI arXiv
Clason, Christian; Valkonen, Tuomo Stability of saddle points via explicit coderivatives of pointwise subdifferentials. (English) Zbl 1367.49011 Set-Valued Var. Anal. 25, No. 1, 69-112 (2017). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 49J53 49K40 90C31 PDFBibTeX XMLCite \textit{C. Clason} and \textit{T. Valkonen}, Set-Valued Var. Anal. 25, No. 1, 69--112 (2017; Zbl 1367.49011) Full Text: DOI arXiv Link
Clason, Christian; Schiela, Anton Optimal control of elliptic equations with positive measures. (English) Zbl 1365.49005 ESAIM, Control Optim. Calc. Var. 23, No. 1, 217-240 (2017). Reviewer: Elvira Mascolo (Firenze) MSC: 49J20 49K20 49N15 PDFBibTeX XMLCite \textit{C. Clason} and \textit{A. Schiela}, ESAIM, Control Optim. Calc. Var. 23, No. 1, 217--240 (2017; Zbl 1365.49005) Full Text: DOI arXiv
Clason, Christian; Kunisch, Karl A convex analysis approach to multi-material topology optimization. (English) Zbl 1354.49092 ESAIM, Math. Model. Numer. Anal. 50, No. 6, 1917-1936 (2016). MSC: 49Q10 49K20 49M15 PDFBibTeX XMLCite \textit{C. Clason} and \textit{K. Kunisch}, ESAIM, Math. Model. Numer. Anal. 50, No. 6, 1917--1936 (2016; Zbl 1354.49092) Full Text: DOI arXiv Link
Clason, Christian; Ito, Kazufumi; Kunisch, Karl A convex analysis approach to optimal controls with switching structure for partial differential equations. (English) Zbl 1338.49056 ESAIM, Control Optim. Calc. Var. 22, No. 2, 581-609 (2016). MSC: 49M20 49M15 49M29 49J20 49K20 49J45 49J52 PDFBibTeX XMLCite \textit{C. Clason} et al., ESAIM, Control Optim. Calc. Var. 22, No. 2, 581--609 (2016; Zbl 1338.49056) Full Text: DOI arXiv Link
Clason, Christian; Rund, Armin; Kunisch, Karl; Barnard, Richard C. A convex penalty for switching control of partial differential equations. (English) Zbl 1335.49042 Syst. Control Lett. 89, 66-73 (2016). MSC: 49M15 49J52 93C20 PDFBibTeX XMLCite \textit{C. Clason} et al., Syst. Control Lett. 89, 66--73 (2016; Zbl 1335.49042) Full Text: DOI arXiv Link
Clason, Christian; Kunisch, Karl Multi-bang control of elliptic systems. (English) Zbl 1304.49014 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 6, 1109-1130 (2014). MSC: 49J30 49K30 49J20 49K20 49M15 PDFBibTeX XMLCite \textit{C. Clason} and \textit{K. Kunisch}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 6, 1109--1130 (2014; Zbl 1304.49014) Full Text: DOI