Robin, Rémi; Roussel, Robin Shape optimization of harmonic helicity in toroidal domains. (English) Zbl 07965915 J. Optim. Theory Appl. 204, No. 1, Paper No. 10, 43 p. (2025). MSC: 90Cxx 49-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Xiaoli; Yang, Zhen Optimal shape design of 1D fractional order heat equation in large time. (English) Zbl 07961691 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 85, 15 p. (2024). MSC: 35-XX 49-XX × Cite Format Result Cite Review PDF Full Text: DOI
Zaccaron, Michele A remark on the Hadamard-Hirakawa formula for an electromagnetic cavity problem. (English) Zbl 1542.35376 Boll. Unione Mat. Ital. 17, No. 2, 527-535 (2024). MSC: 35Q61 35Q60 35P15 78A25 35B20 × Cite Format Result Cite Review PDF Full Text: DOI
Delfour, Michel C. Hadamard semidifferential of continuous convex functions. (English) Zbl 07774544 Pure Appl. Funct. Anal. 8, No. 5, 1341-1356 (2023). MSC: 26B25 58C25 46G05 46T20 26E15 26E20 49Q10 49Q12 58C20 × Cite Format Result Cite Review PDF Full Text: Link
Rüland, Angkana; Tribuzio, Antonio On scaling laws for multi-well nucleation problems without gauge invariances. (English) Zbl 1513.74136 J. Nonlinear Sci. 33, No. 2, Paper No. 25, 41 p. (2023). MSC: 74N05 74N15 49N99 74D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belhachmi, Zakaria; Jacumin, Thomas Optimal interpolation data for PDE-based compression of images with noise. (English) Zbl 1537.94016 Commun. Nonlinear Sci. Numer. Simul. 109, Article ID 106278, 24 p. (2022). MSC: 94A08 68P30 35B27 49Q12 49J99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Atanackovic, Teodor M. Theoretical optimal shape of a longest reach cantilever. (English) Zbl 1515.49023 Eur. J. Phys. 43, No. 1, Article ID 015008, 10 p. (2022). Reviewer: Roman Šimon Hilscher (Brno) MSC: 49N99 49S05 74-10 × Cite Format Result Cite Review PDF Full Text: DOI
Murea, Cornel Marius; Tiba, Dan Implicit parametrizations in shape optimization: boundary observation. (English) Zbl 1505.49032 Pure Appl. Funct. Anal. 7, No. 5, 1835-1856 (2022). Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy) MSC: 49Q10 49M20 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate. (English) Zbl 1492.35374 Commun. Partial Differ. Equations 47, No. 4, 797-828 (2022). MSC: 35Q92 92D25 92D40 49J30 49Q10 49M41 35B44 35B36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Murea, Cornel Marius; Tiba, Dan Periodic Hamiltonian systems in shape optimization problems with Neumann boundary conditions. (English) Zbl 1486.49058 J. Differ. Equations 321, 1-39 (2022). MSC: 49Q10 90C90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Amstutz, Samuel; Dapogny, Charles; Ferrer, Alex A consistent approximation of the total perimeter functional for topology optimization algorithms. (English) Zbl 1485.49050 ESAIM, Control Optim. Calc. Var. 28, Paper No. 18, 71 p. (2022). MSC: 49Q10 49Q12 35J05 35J25 41A60 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Simon, Theresa M. Quantitative aspects of the rigidity of branching microstructures in shape memory alloys via H-measures. (English) Zbl 1480.74244 SIAM J. Math. Anal. 53, No. 4, 4537-4567 (2021). MSC: 74N15 74G45 74B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Manzoni, Andrea; Quarteroni, Alfio; Salsa, Sandro Optimal control of partial differential equations. Analysis, approximation, and applications. (English) Zbl 1483.49001 Applied Mathematical Sciences 207. Cham: Springer (ISBN 978-3-030-77225-3/hbk; 978-3-030-77226-0/ebook). xvii, 498 p. (2021). Reviewer: Gheorghe Moroşanu (Cluj-Napoca) MSC: 49-01 49J20 49K20 49Q10 76-01 90C20 49N35 49S05 49N10 49-02 × Cite Format Result Cite Review PDF Full Text: DOI
Novotny, Antonio André; Sokołowski, Jan An introduction to the topological derivative method. (English) Zbl 1444.49001 SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-030-36914-9/pbk; 978-3-030-36915-6/ebook). x, 114 p. (2020). Reviewer: Andrew Bucki (Edmond) MSC: 49-01 49Q10 49J20 35J20 90-01 65-01 49-02 54C56 94A08 74A45 49Q12 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Abdelwahed, Mohamed; Al Salem, Azhar; Chorfi, Nejmeddine; Hassine, Maatoug Topological sensitivity analysis of a time-dependent nonlinear problem. (English) Zbl 1524.49033 Bound. Value Probl. 2019, Paper No. 23, 12 p. (2019). MSC: 49K20 49K40 49Q12 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Franceschi, Valentina; Stefani, Giorgio Symmetric double bubbles in the Grushin plane. (English) Zbl 1439.53033 ESAIM, Control Optim. Calc. Var. 25, Paper No. 77, 37 p. (2019). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 49Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Younes, Laurent Shapes and diffeomorphisms. 2nd updated edition. (English) Zbl 1423.53002 Applied Mathematical Sciences 171. Berlin: Springer (ISBN 978-3-662-58495-8/hbk; 978-3-662-58496-5/ebook). xxiv, 558 p. (2019). Reviewer: Alain Brillard (Riedisheim) MSC: 53-02 53A04 53A05 37C10 37E30 49-02 49K15 49Q10 65D18 68U05 68U07 58D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Delfour, Michel C. Control, shape, and topological derivatives via minimax differentiability of Lagrangians. (English) Zbl 1416.49049 Falcone, Maurizio (ed.) et al., Numerical methods for optimal control problems. Proceedings of the workshop, Rome, Italy, June 19–23, 2017. Cham: Springer. Springer INdAM Ser. 29, 137-164 (2018). MSC: 49Q12 49J35 49M30 49Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Conti, Sergio; Lenz, Martin; Pawelczyk, Matthäus; Rumpf, Martin Homogenization in magnetic-shape-memory polymer composites. (English) Zbl 1405.74030 Schulz, Volker (ed.) et al., Shape optimization, homogenization and optimal control. DFG-AIMS workshop held at the AIMS Center Sénégal, Mbour, Sénégal, March 13–16, 2017. Cham: Birkhäuser (ISBN 978-3-319-90468-9/hbk; 978-3-319-90469-6/ebook). ISNM. International Series of Numerical Mathematics 169, 1-17 (2018). MSC: 74Q05 74F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tong, Jiajun; Shelley, Michael J. Directed migration of microscale swimmers by an array of shaped obstacles: modeling and shape optimization. (English) Zbl 1404.49029 SIAM J. Appl. Math. 78, No. 5, 2370-2392 (2018). Reviewer: Vladimir Mityushev (Kraków) MSC: 49Q10 49N45 35Q93 65K10 74F10 82C21 82C70 49M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martínez-Frutos, Jesús; Periago Esparza, Francisco Optimal control of PDEs under uncertainty. An introduction with application to optimal shape design of structures. (English) Zbl 1426.49001 SpringerBriefs in Mathematics; BCAM SpringerBriefs. Cham: Springer; Bilbao: BCAM – Basque Center for Applied Mathematics (ISBN 978-3-319-98209-0/pbk; 978-3-319-98210-6/ebook). xix, 123 p. (2018). Reviewer: Stefan Balint (Timişoara) MSC: 49-02 49J20 49Q10 49K20 49M25 × Cite Format Result Cite Review PDF Full Text: DOI
Bianchini, Chiara; Ciraolo, Giulio; Salani, Paolo Some overdetermined problems related to the anisotropic capacity. (English) Zbl 1392.49042 J. Math. Anal. Appl. 465, No. 1, 211-219 (2018). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 49N99 35N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Henrot, Antoine; Pierre, Michel Shape variation and optimization. A geometrical analysis. (English) Zbl 1392.49001 EMS Tracts in Mathematics 28. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-178-1/hbk; 978-3-03719-678-6/ebook). xi, 366 p. (2018). Reviewer: Giuseppe Buttazzo (Pisa) MSC: 49-02 49Q10 49Q05 49Q12 49S05 74P20 76M30 49J45 49M25 × Cite Format Result Cite Review PDF Full Text: DOI
Antunes, Pedro R. S.; Oudet, Edouard Numerical results for extremal problem for eigenvalues of the Laplacian. (English) Zbl 1373.49049 Henrot, Antoine (ed.), Shape optimization and spectral theory. Berlin: De Gruyter (ISBN 978-3-11-055085-6/hbk; 978-3-11-055088-7/ebook). 398-412 (2017). Reviewer: Andrew Bucki (Edmond) MSC: 49Q10 35P15 35J05 47A75 49R05 49M30 × Cite Format Result Cite Review PDF Full Text: DOI
Bogosel, Beniamin; Bucur, Dorin; Giacomini, Alessandro Optimal shapes maximizing the Steklov eigenvalues. (English) Zbl 1367.49037 SIAM J. Math. Anal. 49, No. 2, 1645-1680 (2017). MSC: 49R05 49J35 58C40 26A45 49J45 49M30 × Cite Format Result Cite Review PDF Full Text: DOI
Yan, Wenjing; Gao, Zhiming The application of adjoint method for shape optimization in Stokes-Oseen flow. (English) Zbl 1362.49023 Math. Methods Appl. Sci. 40, No. 4, 1114-1125 (2017). MSC: 49Q10 49K40 49J35 76D55 49M30 × Cite Format Result Cite Review PDF Full Text: DOI
Bergounioux, Maïtine (ed.); Oudet, Édouard (ed.); Rumpf, Martin (ed.); Carlier, Guillaume (ed.); Champion, Thierry (ed.); Santambrogio, Filippo (ed.) Topological optimization and optimal transport in the applied sciences. (English) Zbl 1372.49001 Radon Series on Computational and Applied Mathematics 17. Berlin: De Gruyter (ISBN 978-3-11-043926-7/hbk; 978-3-11-043041-7/ebook). xi, 418 p. (2017). MSC: 49-06 49J20 49J45 49Mxx 49Qxx 49S05 93B27 × Cite Format Result Cite Review PDF Full Text: DOI
Knüpfer, Hans; Kružík, Martin A sharp interface evolutionary model for shape memory alloys. (English) Zbl 07775128 ZAMM, Z. Angew. Math. Mech. 96, No. 11, 1347-1355 (2016). MSC: 49Jxx 74Nxx 74Bxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sturm, Kevin Shape optimization with nonsmooth cost functions: from theory to numerics. (English) Zbl 1355.49036 SIAM J. Control Optim. 54, No. 6, 3319-3346 (2016). MSC: 49Q10 49Q12 49M30 49K20 49K40 49J52 65K10 35J62 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schulz, Volker H.; Siebenborn, Martin; Welker, Kathrin Efficient PDE constrained shape optimization based on Steklov-Poincaré-type metrics. (English) Zbl 1354.49095 SIAM J. Optim. 26, No. 4, 2800-2819 (2016). MSC: 49Q10 49M30 65K10 35Q93 57N25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Laurain, Antoine; Meftahi, Houcine Shape and parameter reconstruction for the Robin transmission inverse problem. (English) Zbl 1354.49078 J. Inverse Ill-Posed Probl. 24, No. 6, 643-662 (2016). MSC: 49N45 49Q10 49M30 35R30 65K10 65N21 × Cite Format Result Cite Review PDF Full Text: DOI
Caubet, Fabien; Conca, Carlos; Godoy, Matías On the detection of several obstacles in 2D Stokes flow: topological sensitivity and combination with shape derivatives. (English) Zbl 1350.49050 Inverse Probl. Imaging 10, No. 2, 327-367 (2016). MSC: 49N45 49Q10 49Q12 49M30 35R30 76D55 × Cite Format Result Cite Review PDF Full Text: DOI
Laurain, Antoine; Sturm, Kevin Distributed shape derivative via averaged adjoint method and applications. (English) Zbl 1347.49070 ESAIM, Math. Model. Numer. Anal. 50, No. 4, 1241-1267 (2016). MSC: 49Q10 49M30 65K10 35Q93 35R30 35R05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fakharzadeh Jahromi, Alireza; Alimorad, H.; Beiranvand, A. A linearization technique for optimal design of the damping set with internal dissipation. (English) Zbl 1347.65114 Iran. J. Numer. Anal. Optim. 6, No. 1, 1-29 (2016). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65K10 65M60 49Q10 49J20 49M30 × Cite Format Result Cite Review PDF Full Text: DOI
Belishev, M. I.; Ivanov, A. V. On a problem in the calculus of variations. (English. Russian original) Zbl 1343.49068 J. Math. Sci., New York 214, No. 3, 252-259 (2016); translation from Zap. Nauchn. Semin. POMI 426, 12-22 (2014). MSC: 49Q05 49S05 × Cite Format Result Cite Review PDF Full Text: DOI
Bogosel, Beniamin The method of fundamental solutions applied to boundary eigenvalue problems. (English) Zbl 1338.49068 J. Comput. Appl. Math. 306, 265-285 (2016). MSC: 49M30 49Q10 65N80 × Cite Format Result Cite Review PDF Full Text: DOI
Sturm, Kevin; Hintermüller, Michael; Hömberg, Dietmar Distortion compensation as a shape optimisation problem for a sharp interface model. (English) Zbl 1341.49054 Comput. Optim. Appl. 64, No. 2, 557-588 (2016). MSC: 49Q10 49M30 × Cite Format Result Cite Review PDF Full Text: DOI
Harbrecht, Helmut; Loos, Florian Optimization of current carrying multicables. (English) Zbl 1333.49062 Comput. Optim. Appl. 63, No. 1, 237-271 (2016). MSC: 49Q10 49N90 49M25 49M30 49J20 65K10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bogosel, Beniamin; Velichkov, Bozhidar A multiphase shape optimization problem for eigenvalues: qualitative study and numerical results. (English) Zbl 1334.49128 SIAM J. Numer. Anal. 54, No. 1, 210-241 (2016). MSC: 49Q10 49R05 49M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rondi, Luca; Santosa, Fadil; Wang, Zhu A variational approach to the inverse photolithography problem. (English) Zbl 1354.49079 SIAM J. Appl. Math. 76, No. 1, 110-137 (2016). MSC: 49N45 49Q10 49J45 65K10 65N21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rahmani, Saïd; Pinoli, Jean-Charles; Debayle, Johan Characterization and estimation of the variations of a random convex set by its mean \(n\)-variogram: application to the Boolean model. (English) Zbl 1376.94018 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, 296-308 (2015). MSC: 94A15 94D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Fußeder, Daniela Isogeometric finite element methods for shape optimization. (English) Zbl 1355.49001 Aachen: Shaker Verlag; Kaiserslautern: Univ. Kaiserslautern, Fachbereich Mathematik (Diss.) (ISBN 978-3-8440-4123-1/pbk). xvii, 165 p. (2015). MSC: 49-02 49Q10 49M25 65D17 × Cite Format Result Cite Review PDF Full Text: Link
Haslinger, Jaroslav; Mäkinen, Raino A. E. On a topology optimization problem governed by two-dimensional Helmholtz equation. (English) Zbl 1333.49063 Comput. Optim. Appl. 62, No. 2, 517-544 (2015). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 49Q10 49J20 49J45 49M30 49M25 35J05 65K10 65N30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Dambrine, Marc; Dapogny, Charles; Harbrecht, Helmut Shape optimization for quadratic functionals and states with random right-hand sides. (English) Zbl 1326.49070 SIAM J. Control Optim. 53, No. 5, 3081-3103 (2015). MSC: 49Q10 49J55 49M30 60H35 65N75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Chan, Allan; Conti, Sergio Energy scaling and branched microstructures in a model for shape-memory alloys with SO(2) invariance. (English) Zbl 1311.49030 Math. Models Methods Appl. Sci. 25, No. 6, 1091-1124 (2015). MSC: 49J45 74B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Velichkov, Bozhidar Existence and regularity results for some shape optimization problems. (English) Zbl 1316.49006 Tesi. Scuola Normale Superiore Pisa (Nuova Serie) 19. Pisa: Edizioni della Normale; Pisa: Scuola Normale Superiore (Diss. 2013) (ISBN 978-88-7642-526-4/pbk; 978-88-7642-527-1/ebook). xvi, 349 p. (2015). Reviewer: Vasile Oproiu (Iaşi) MSC: 49-02 49Q10 49N60 90C90 × Cite Format Result Cite Review PDF Full Text: DOI Link
Azegami, Hideyuki; Ohtsuka, Kohji; Kimura, Masato Shape derivative of cost function for singular point: evaluation by the generalized J integral. (English) Zbl 1410.49048 JSIAM Lett. 6, 29-32 (2014). MSC: 49Q10 35Q93 × Cite Format Result Cite Review PDF Full Text: DOI
Philip, Peter PDE-driven shape optimization: numerical investigation of different descent directions and projections using penalization and regularization. (English) Zbl 1323.49030 Pötzsche, Christian (ed.) et al., System modeling and optimization. 26th IFIP TC 7 conference, CSMO 2013, Klagenfurt, Austria, September 9–13, 2013. Revised selected papers. Heidelberg: Springer (ISBN 978-3-662-45503-6/hbk; 978-3-662-45504-3/ebook). IFIP Advances in Information and Communication Technology 443, 237-246 (2014). MSC: 49Q10 49M25 49M30 49J20 35J15 × Cite Format Result Cite Review PDF Full Text: DOI
Bosse, Torsten; Gauger, Nicolas R.; Griewank, Andreas; Günther, Stefanie; Kaland, Lena; Kratzenstein, Claudia; Lehmann, Lutz; Nemili, Anil; Özkaya, Emre; Slawig, Thomas Optimal design with bounded retardation for problems with non-separable adjoints. (English) Zbl 1332.49034 Leugering, Günter (ed.) et al., Trends in PDE constrained optimization. Cham: Birkhäuser/Springer (ISBN 978-3-319-05082-9/hbk; 978-3-319-05083-6/ebook). ISNM. International Series of Numerical Mathematics 165, 67-84 (2014). MSC: 49M30 49J20 49Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Falcone, Maurizio; Verani, Marco Recent results in shape optimization and optimal control for PDEs. (English) Zbl 1318.49077 Hoppe, Ronald (ed.), Optimization with PDE constraints. ESF networking program ‘OPTPDE’. Cham: Springer (ISBN 978-3-319-08024-6/hbk; 978-3-319-08025-3/ebook). Lecture Notes in Computational Science and Engineering 101, 65-94 (2014). MSC: 49Q10 49M30 49M25 49L20 49M37 49J20 49L25 90C55 × Cite Format Result Cite Review PDF Full Text: DOI Link
Granieri, Luca; Maddalena, Francesco A metric approach to elastic reformations. (English) Zbl 1316.49051 Acta Appl. Math. 133, No. 1, 153-185 (2014). MSC: 49Q10 49Q20 49Q15 37J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Attouch, Hedy; Buttazzo, Giuseppe; Michaille, Gérard Variational analysis in Sobolev and BV spaces. Applications to PDEs and optimization. 2nd revised ed. (English) Zbl 1311.49001 MOS-SIAM Series on Optimization 17. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); Philadelphia, PA: Mathematical Optimization Society (ISBN 978-1-611973-47-1/hbk; 978-1-61197-348-8/ebook). xii, 793 p. (2014). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 49-01 49K20 49J45 49J52 49Q10 49Q20 90C48 × Cite Format Result Cite Review PDF Full Text: DOI
Toland, J. F. Non-existence of global energy minimisers in Stokes waves problems. (English) Zbl 1292.76024 Discrete Contin. Dyn. Syst. 34, No. 8, 3211-3217 (2014). MSC: 76B15 35C07 49J99 × Cite Format Result Cite Review PDF Full Text: DOI
Okumura, Hiroshi; Hikino, Yoichi; Kawahara, Mutsuto A shape optimisation method of a body located in adiabatic flows. (English) Zbl 07510436 Int. J. Comput. Fluid Dyn. 27, No. 6-7, 297-306 (2013). MSC: 76-XX 49-XX × Cite Format Result Cite Review PDF Full Text: DOI
Murai, Daisuke; Azegami, Hideyuki Error analysis of the H1 gradient method for shape-optimization problems of continua. (English) Zbl 1416.49047 JSIAM Lett. 5, 29-32 (2013). MSC: 49Q10 49M30 × Cite Format Result Cite Review PDF Full Text: DOI
Bao, Fan; Yan, Dong-Ming; Mitra, Niloy J.; Wonka, Peter Generating and exploring good building layouts. (English) Zbl 1305.68203 ACM Trans. Graph. 32, No. 4, Paper No. 91, 10 p. (2013). MSC: 68U05 65D10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Park, Won-Kwang Multi-frequency topological derivative for approximate shape acquisition of curve-like thin electromagnetic inhomogeneities. (English) Zbl 1341.49053 J. Math. Anal. Appl. 404, No. 2, 501-518 (2013). MSC: 49Q10 49M30 49N45 78M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Azegami, Hideyuki; Fukumoto, Shota; Aoyama, Taiki Shape optimization of continua using NURBS as basis functions. (English) Zbl 1274.49055 Struct. Multidiscip. Optim. 47, No. 2, 247-258 (2013). MSC: 49Q10 49M30 74P10 35Q74 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Granieri, Luca; Maddalena, Francesco Transport problems and disintegration maps. (English) Zbl 1350.37070 ESAIM, Control Optim. Calc. Var. 19, No. 3, 888-905 (2013). MSC: 37J50 49Q20 49Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Philip, Peter; Tiba, Dan Shape optimization via control of a shape function on a fixed domain: theory and numerical results. (English) Zbl 1268.49052 Repin, Sergei (ed.) et al., Numerical methods for differential equations, optimization, and technological problems. Dedicated to Professor P. Neittaanmäki on his 60th birthday. Selected papers based on the presentations at the ECCOMAS thematic conference computational analysis and optimization (CAO 2011), Jyväskylä, Finland, June 9–11, 2011. Dordrecht: Springer (ISBN 978-94-007-5287-0/hbk; 978-94-007-5288-7/ebook). Computational Methods in Applied Sciences (Springer) 27, 305-320 (2013). MSC: 49Q10 49M30 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Myśliński, Andrzej Structural optimization of variational inequalities using piecewise constant level set method. (English) Zbl 1266.49082 Hömberg, Dietmar (ed.) et al., System modeling and optimization. 25th IFIP TC 7 conference on system modeling and optimization, CSMO 2011, Berlin, Germany, September 12–16, 2011. Revised Selected Papers. Heidelberg: Springer (ISBN 978-3-642-36061-9/hbk; 978-3-642-36062-6/ebook). IFIP Advances in Information and Communication Technology 391, 407-416 (2013). MSC: 49Q10 49M30 49J40 35J86 × Cite Format Result Cite Review PDF Full Text: DOI
Halanay, Andrei; Murea, Cornel Marius Fixed domain algorithms in shape optimization for stationary Navier-Stokes equations. (English) Zbl 1266.49078 Hömberg, Dietmar (ed.) et al., System modeling and optimization. 25th IFIP TC 7 conference on system modeling and optimization, CSMO 2011, Berlin, Germany, September 12–16, 2011. Revised Selected Papers. Heidelberg: Springer (ISBN 978-3-642-36061-9/hbk; 978-3-642-36062-6/ebook). IFIP Advances in Information and Communication Technology 391, 378-386 (2013). MSC: 49Q10 49M30 49K20 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Fulmański, Piotr; Miniak-Górecka, Alicja Note on level set functions. (English) Zbl 1266.49077 Hömberg, Dietmar (ed.) et al., System modeling and optimization. 25th IFIP TC 7 conference on system modeling and optimization, CSMO 2011, Berlin, Germany, September 12–16, 2011. Revised Selected Papers. Heidelberg: Springer (ISBN 978-3-642-36061-9/hbk; 978-3-642-36062-6/ebook). IFIP Advances in Information and Communication Technology 391, 368-377 (2013). MSC: 49Q10 49M30 × Cite Format Result Cite Review PDF Full Text: DOI
Prochazka, P. P.; Valek, M. J. Optimal shape of fibers in transmission problem. (English) Zbl 1356.74159 CMES, Comput. Model. Eng. Sci. 87, No. 3, 207-224 (2012). MSC: 74P10 74A40 74Q05 74S15 49J99 × Cite Format Result Cite Review PDF Full Text: DOI
Pesch, Hans Josef The princess and infinite-dimensional optimization. (English) Zbl 1264.01006 Doc. Math. Extra Vol., Optimization Stories, 345-356 (2012). Reviewer: Victor V. Pambuccian (Phoenix) MSC: 01A20 01A45 49-03 × Cite Format Result Cite Review PDF Full Text: EMIS
Neittaanmäki, P; Tiba, D Fixed domain approaches in shape optimization problems. (English) Zbl 1252.49068 Inverse Probl. 28, No. 9, Article ID 093001, 35 p. (2012). MSC: 49Q10 35J20 65J22 49-02 93B05 × Cite Format Result Cite Review PDF Full Text: DOI
Simon, Eva; Mezey, Paul G. Fragment shape variation index for periodicity deficiency and gradual changes of internal coordinates along linear polymers. (English) Zbl 1244.92063 J. Math. Chem. 50, No. 4, 934-941 (2012). MSC: 92E10 82D60 × Cite Format Result Cite Review PDF Full Text: DOI
Buttazzo, Giuseppe Spectral optimization problems. (English) Zbl 1226.49038 Rev. Mat. Complut. 24, No. 2, 277-322 (2011). MSC: 49Q20 49R05 35P15 47A75 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iwata, Yutaro; Azegami, Hideyuki; Aoyama, Taiki; Katamine, Eiji Numerical solution to shape optimization problems for non-stationary Navier-Stokes problems. (English) Zbl 1273.76080 JSIAM Lett. 2, 37-40 (2010). MSC: 76D05 76M25 65K10 49Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Iwai, Takahiro; Sugimoto, Akinobu; Aoyama, Taiki; Azegami, Hideyuki Shape optimization problem of elastic bodies for controlling contact pressure. (English) Zbl 1273.74355 JSIAM Lett. 2, 1-4 (2010). MSC: 74M15 49Q10 74P15 × Cite Format Result Cite Review PDF Full Text: DOI
Durand-Cartagena, Estibalitz; Lemenant, Antoine Some stability results under domain variation for Neumann problems in metric spaces. (English) Zbl 1208.30053 Ann. Acad. Sci. Fenn., Math. 35, No. 2, 537-563 (2010). MSC: 30L10 49J99 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Granieri, L.; Maddalena, F. On some variational problems involving volume and surface energies. (English) Zbl 1201.58015 J. Optim. Theory Appl. 146, No. 2, 359-374 (2010). MSC: 58E50 × Cite Format Result Cite Review PDF Full Text: DOI
Arrate, Felipe; Ratnanather, J. Tilak; Younes, Laurent Diffeomorphic active contours. (English) Zbl 1189.49062 SIAM J. Imaging Sci. 3, No. 2, 176-198 (2010). MSC: 49Q10 49M30 58D25 58E25 68T10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wang, Quan-Bao; Chen, Ji-An; Fu, Gong-Yi; Duan, Deng-Ping An approach for shape optimization of stratosphere airships based on multidisciplinary design optimization. (English) Zbl 1214.49040 J. Zhejiang Univ., Sci. A 10, No. 11, 1609-1616 (2009). MSC: 49Q10 49N90 49M30 90C59 × Cite Format Result Cite Review PDF Full Text: DOI
Özkaya, Emre; Gauger, Nicolas R. Single-step one-shot aerodynamic shape optimization. (English) Zbl 1197.49046 Kunisch, Karl (ed.) et al., Optimal control of coupled systems of partial differential equations. Based on the international conference, Oberwolfach, Germany, March 2–8, 2008. Basel: Birkhäuser (ISBN 978-3-7643-8922-2/hbk; 978-3-7643-8923-9/ebook). ISNM. International Series of Numerical Mathematics 158, 191-204 (2009). MSC: 49Q10 49N90 49M30 × Cite Format Result Cite Review PDF
He, Lin; Kindermann, Stefan; Sini, Mourad Reconstruction of shapes and impedance functions using few far-field measurements. (English) Zbl 1158.65044 J. Comput. Phys. 228, No. 3, 717-730 (2009). MSC: 65K10 49J20 49Q10 49M30 76Q05 76M30 × Cite Format Result Cite Review PDF Full Text: DOI
Hazra, Subhendu Bikash Multigrid one-shot method for state constrained aerodynamic shape optimization. (English) Zbl 1193.49048 SIAM J. Sci. Comput. 30, No. 6, 3220-3248 (2008). MSC: 49Q10 49M30 65L20 65N20 × Cite Format Result Cite Review PDF Full Text: DOI
Saintier, Nicolas Estimates of the best Sobolev constant of the embedding of \(\mathrm{BV}(\Omega)\) into \(L^1(\partial \Omega)\) and related shape optimization problems. (English) Zbl 1151.49036 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 8, 2479-2491 (2008). MSC: 49Q10 35P15 49Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ito, Kazufumi; Kunisch, Karl Lagrange multiplier approach to variational problems and applications. (English) Zbl 1156.49002 Advances in Design and Control 15. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-49-8/pbk; 978-0-89871-861-4/ebook). xvi, 341 p. (2008). Reviewer: Alfred Göpfert (Halle) MSC: 49-02 49J27 49K27 49K40 49M30 49M37 49N15 90C48 × Cite Format Result Cite Review PDF Full Text: DOI Link
Hazra, Subhendu B.; Schulz, Volker Simultaneous pseudo-timestepping for state-constrained optimization problems in aerodynamics. (English) Zbl 1226.49027 Biegler, Lorenz T. (ed.) et al., Real-time PDE-constrained optimization. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-21-4/pbk; 978-0-89871-893-5/ebook). Computational Science & Engineering, 169-182 (2007). MSC: 49M30 49Q20 × Cite Format Result Cite Review PDF
Farhadinia, B.; Fahari, M. H. On the existence of the solution of an optimal shape design problem governed by full Navier-Stokes equations. (English) Zbl 1138.49003 Int. J. Contemp. Math. Sci. 2, No. 13-16, 701-711 (2007). MSC: 49J20 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Rufibach, Kaspar Computing maximum likelihood estimators of a log-concave density function. (English) Zbl 1146.62027 J. Stat. Comput. Simulation 77, No. 7-8, 561-574 (2007). MSC: 62G07 49M30 × Cite Format Result Cite Review PDF Full Text: DOI
Allaire, Grégoire Optimal treatment of structures. (Conception optimale de structures.) (French) Zbl 1132.49033 Mathématiques & Applications (Berlin) 58. Berlin: Springer (ISBN 3-540-36710-1/pbk). xii, 278 p. (2007). Reviewer: Jean-Pierre Raymond (Toulouse) MSC: 49Q10 65K10 74P05 74P15 74P20 65M99 49-02 × Cite Format Result Cite Review PDF Full Text: DOI
Hazra, S. B.; Schulz, V. Simultaneous pseudo-timestepping for aerodynamic shape optimization problems with state constraints. (English) Zbl 1130.49032 SIAM J. Sci. Comput. 28, No. 3, 1078-1099 (2006). Reviewer: Alireza Fakharzadeh Jahromi (Shiraz) MSC: 49Q10 49M30 × Cite Format Result Cite Review PDF Full Text: DOI
Droske, Marc; Ring, Wolfgang A Mumford-Shah level-set approach for geometric image registration. (English) Zbl 1112.49029 SIAM J. Appl. Math. 66, No. 6, 2127-2148 (2006). MSC: 49M30 68U10 × Cite Format Result Cite Review PDF Full Text: DOI
Chakib, A.; Nachaoui, A. Simulation of a free boundary problem using boundary element method and restarted re-analysis technique. (English) Zbl 1096.65060 Appl. Math. Comput. 177, No. 2, 824-838 (2006). MSC: 65K10 49J20 49M30 49Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Moubachir, Marwan; Zolésio, Jean-Paul Moving shape analysis and control. Applications to fluid structure interactions. (English) Zbl 1117.49003 Pure and Applied Mathematics (Boca Raton) 277. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-611-0/hbk). xx, 291 p. (2006). Reviewer: Erich Miersemann (Leipzig) MSC: 49-02 49Q10 76B75 49J10 49J20 × Cite Format Result Cite Review PDF
Eppler, K.; Harbrecht, H. Second-order shape optimization using wavelet BEM. (English) Zbl 1086.49028 Optim. Methods Softw. 21, No. 1, 135-153 (2006). MSC: 49Q10 49M15 49M30 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
Neittaanmaki, Pekka; Sprekels, Jürgen; Tiba, Dan Optimization of elliptic systems. Theory and applications. (English) Zbl 1106.49002 Springer Monographs in Mathematics. New York, NY: Springer (ISBN 0-387-27235-6/hbk; 0-387-27236-4/ebook). xv, 507 p. (2006). Reviewer: Joseph Frédéric Bonnans (Le Chesnay) MSC: 49-02 49K20 49Q10 35J85 × Cite Format Result Cite Review PDF Full Text: DOI
Griva, Igor A.; Vanderbei, Robert J. Case studies in optimization: catenary problem. (English) Zbl 1194.49061 Optim. Eng. 6, No. 4, 463-482 (2005). MSC: 49Q10 49M25 49-01 × Cite Format Result Cite Review PDF Full Text: DOI
Zolésio, J.; Désidéri, J. Inverse shape optimization problems and application to airfoils. (English) Zbl 1167.49321 Control Cybern. 34, No. 1, 165-202 (2005). MSC: 49N45 49Q10 76B10 35B37 49M37 × Cite Format Result Cite Review PDF
Burger, Martin; Osher, Stanley J. A survey on level set methods for inverse problems and optimal design. (English) Zbl 1091.49001 Eur. J. Appl. Math. 16, No. 2, 263-301 (2005). MSC: 49-02 49N45 49Q10 65D18 × Cite Format Result Cite Review PDF Full Text: DOI
Bucur, Dorin; Buttazzo, Giuseppe Variational methods in shape optimization problems. (English) Zbl 1117.49001 Progress in Nonlinear Differential Equations and their Applications 65. Basel: Birkhäuser (ISBN 0-8176-4359-1/hbk). viii, 216 p. (2005). Reviewer: Manuel Ritoré (Granada) MSC: 49-02 49Q10 49Q15 74P10 × Cite Format Result Cite Review PDF
Henrot, Antoine; Pierre, Michel Variation and optimization of formes. A geometric analysis. (Variation et optimisation de formes. Une analyse géométrique.) (French) Zbl 1098.49001 Mathématiques & Applications (Berlin) 48. Berlin: Springer (ISBN 3-540-26211-3/pbk). xii, 334 p. (2005). Reviewer: Giuseppe Buttazzo (Pisa) MSC: 49-02 74-02 49Q10 49Q05 49Q12 49J45 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Alexandrov, Oleg; Santosa, Fadil A topology-preserving level set method for shape optimization. (English) Zbl 1075.65089 J. Comput. Phys. 204, No. 1, 121-130 (2005). Reviewer: Dinh Nho Hao (Brussels) MSC: 65K10 49Q10 49M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Farahi, M. H.; Borzabadi, A. H.; Mehne, H. H.; Kamyad, A. V. Measure theoretical approach for optimal shape design of a nozzle. (English) Zbl 1060.49028 J. Appl. Math. Comput. 17, No. 1-2, 315-328 (2005). MSC: 49Q10 49M30 × Cite Format Result Cite Review PDF Full Text: DOI
Morgan, Frank Planar Wulff shape is unique equilibrium. (English) Zbl 1071.49025 Proc. Am. Math. Soc. 133, No. 3, 809-813 (2005). Reviewer: Manfredo Perdigao do Carmo (Rio de Janeiro) MSC: 49Q05 53A10 49Q10 74E15 × Cite Format Result Cite Review PDF Full Text: DOI
Gelli, Daniele; Vitulano, Domenico Surface recovery by self shading projection. (English) Zbl 1145.94305 Signal Process. 84, No. 3, 467-473 (2004). MSC: 94A08 94-04 49J99 68U10 × Cite Format Result Cite Review PDF Full Text: DOI
Van Goethem, Nicolas Variational problems on classes of convex domains. (English) Zbl 1102.49001 Commun. Appl. Anal. 8, No. 3, 353-371 (2004). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 49-02 49J20 35J20 90C48 × Cite Format Result Cite Review PDF Full Text: arXiv
Henrot, Antoine; Pierre, Michel; Rihani, Mounir Positivity of the shape Hessian and instability of some equilibrium shapes. (English) Zbl 1072.49028 Mediterr. J. Math. 1, No. 2, 195-214 (2004). Reviewer: Manuel Ritoré (Granada) MSC: 49Q10 49K40 49Q12 35J25 × Cite Format Result Cite Review PDF Full Text: DOI HAL