Lei, Zhenzeng; Zhang, Jian; Liang, Yuan; Chen, Guohai; Yang, Dixiong Efficient two-phase approach to reliability-based discrete variable topology optimization of continuum structures with multimodal distributions. (English) Zbl 07736347 Comput. Methods Appl. Mech. Eng. 415, Article ID 116237, 25 p. (2023). MSC: 74-XX 90-XX PDFBibTeX XMLCite \textit{Z. Lei} et al., Comput. Methods Appl. Mech. Eng. 415, Article ID 116237, 25 p. (2023; Zbl 07736347) Full Text: DOI
Hu, Xueyan; Li, Zonghao; Bao, Ronghao; Chen, Weiqiu; Wang, Huiming An adaptive method of moving asymptotes for topology optimization based on the trust region. (English) Zbl 1507.74305 Comput. Methods Appl. Mech. Eng. 393, Article ID 114202, 22 p. (2022). MSC: 74P15 PDFBibTeX XMLCite \textit{X. Hu} et al., Comput. Methods Appl. Mech. Eng. 393, Article ID 114202, 22 p. (2022; Zbl 1507.74305) Full Text: DOI
Zhou, Xin; Lu, Dechun; Zhang, Yaning; Du, Xiuli; Rabczuk, Timon An open-source unconstrained stress updating algorithm for the modified Cam-clay model. (English) Zbl 1507.74225 Comput. Methods Appl. Mech. Eng. 390, Article ID 114356, 38 p. (2022). MSC: 74L10 PDFBibTeX XMLCite \textit{X. Zhou} et al., Comput. Methods Appl. Mech. Eng. 390, Article ID 114356, 38 p. (2022; Zbl 1507.74225) Full Text: DOI
Yang, Dahao; Lu, Zhong-Rong; Wang, Li Parameter identification of bolted joint models by trust-region constrained sensitivity approach. (English) Zbl 1481.74523 Appl. Math. Modelling 99, 204-227 (2021). MSC: 74K30 90C31 90C90 PDFBibTeX XMLCite \textit{D. Yang} et al., Appl. Math. Modelling 99, 204--227 (2021; Zbl 1481.74523) Full Text: DOI
Yano, Masayuki; Huang, Tianci; Zahr, Matthew J. A globally convergent method to accelerate topology optimization using on-the-fly model reduction. (English) Zbl 1506.74309 Comput. Methods Appl. Mech. Eng. 375, Article ID 113635, 38 p. (2021). MSC: 74P15 65K99 PDFBibTeX XMLCite \textit{M. Yano} et al., Comput. Methods Appl. Mech. Eng. 375, Article ID 113635, 38 p. (2021; Zbl 1506.74309) Full Text: DOI arXiv
Gay Neto, Alfredo; Wriggers, Peter Numerical method for solution of pointwise contact between surfaces. (English) Zbl 1442.74141 Comput. Methods Appl. Mech. Eng. 365, Article ID 112971, 29 p. (2020). MSC: 74M15 65N12 74S05 65N30 74P10 PDFBibTeX XMLCite \textit{A. Gay Neto} and \textit{P. Wriggers}, Comput. Methods Appl. Mech. Eng. 365, Article ID 112971, 29 p. (2020; Zbl 1442.74141) Full Text: DOI
Lu, Zhong-Rong; Yang, Dahao; Liu, Jike; Wang, Li Nonlinear breathing crack identification from time-domain sensitivity analysis. (English) Zbl 1481.74666 Appl. Math. Modelling 83, 30-45 (2020). MSC: 74R10 49M37 49N45 PDFBibTeX XMLCite \textit{Z.-R. Lu} et al., Appl. Math. Modelling 83, 30--45 (2020; Zbl 1481.74666) Full Text: DOI
Kopaničáková, Alena; Krause, Rolf A recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture. (English) Zbl 1441.74208 Comput. Methods Appl. Mech. Eng. 360, Article ID 112720, 29 p. (2020). MSC: 74R10 74S99 65Z05 PDFBibTeX XMLCite \textit{A. Kopaničáková} and \textit{R. Krause}, Comput. Methods Appl. Mech. Eng. 360, Article ID 112720, 29 p. (2020; Zbl 1441.74208) Full Text: DOI arXiv
Matias, Dmitrii V.; Vitokhin, Evgeniy Yu. A comparison of the finite-difference and finite-volume methods for a numerical solution of a hyperbolic thermoelasticity problem utilizing the implicit and explicit schemes. (English) Zbl 07806630 ZAMM, Z. Angew. Math. Mech. 99, No. 5, Article ID e201700369, 17 p. (2019). MSC: 80Axx 74Axx 74Fxx PDFBibTeX XMLCite \textit{D. V. Matias} and \textit{E. Yu. Vitokhin}, ZAMM, Z. Angew. Math. Mech. 99, No. 5, Article ID e201700369, 17 p. (2019; Zbl 07806630) Full Text: DOI
Kopaničáková, Alena; Krause, Rolf; Tamstorf, Rasmus Subdivision-based nonlinear multiscale cloth simulation. (English) Zbl 1425.74297 SIAM J. Sci. Comput. 41, No. 5, S433-S461 (2019). MSC: 74K25 74B20 65M55 65K10 PDFBibTeX XMLCite \textit{A. Kopaničáková} et al., SIAM J. Sci. Comput. 41, No. 5, S433--S461 (2019; Zbl 1425.74297) Full Text: DOI
Youett, Jonathan; Sander, Oliver; Kornhuber, Ralf A globally convergent filter-trust-region method for large deformation contact problems. (English) Zbl 1414.65045 SIAM J. Sci. Comput. 41, No. 1, B114-B138 (2019). Reviewer: Marius Ghergu (Dublin) MSC: 65N55 65K15 65N30 65N12 74B20 74M15 PDFBibTeX XMLCite \textit{J. Youett} et al., SIAM J. Sci. Comput. 41, No. 1, B114--B138 (2019; Zbl 1414.65045) Full Text: DOI arXiv
Blank, Luise; Farshbaf-Shaker, M. Hassan; Hecht, Claudia; Michl, Josef; Rupprecht, Christoph Optimal control of Allen-Cahn systems. (English) Zbl 1327.49018 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, 11-26 (2014). MSC: 49J40 49K20 49J20 49M15 74P99 PDFBibTeX XMLCite \textit{L. Blank} et al., ISNM, Int. Ser. Numer. Math. 165, 11--26 (2014; Zbl 1327.49018) Full Text: DOI arXiv
Bucher, Anke; Görke, Uwe-Jens; Kreißig, Reiner Towards the direct and inverse adaptive mixed finite element formulations for nearly incompressible elasticity at large strains. (English) Zbl 1410.74060 Apel, Thomas (ed.) et al., Advanced finite element methods and applications. Berlin: Springer. Lect. Notes Appl. Comput. Mech. 66, 299-323 (2013). MSC: 74S05 74B20 74G75 74K15 PDFBibTeX XMLCite \textit{A. Bucher} et al., Lect. Notes Appl. Comput. Mech. 66, 299--323 (2013; Zbl 1410.74060) Full Text: DOI
Sander, Oliver Geodesic finite elements for Cosserat rods. (English) Zbl 1193.74157 Int. J. Numer. Methods Eng. 82, No. 13, 1645-1670 (2010). MSC: 74S05 74K10 PDFBibTeX XMLCite \textit{O. Sander}, Int. J. Numer. Methods Eng. 82, No. 13, 1645--1670 (2010; Zbl 1193.74157) Full Text: DOI
Jiang, C.; Han, X.; Liu, G. P. A sequential nonlinear interval number programming method for uncertain structures. (English) Zbl 1194.74247 Comput. Methods Appl. Mech. Eng. 197, No. 49-50, 4250-4265 (2008). MSC: 74P10 74H15 74S30 65G40 PDFBibTeX XMLCite \textit{C. Jiang} et al., Comput. Methods Appl. Mech. Eng. 197, No. 49--50, 4250--4265 (2008; Zbl 1194.74247) Full Text: DOI
Liu, G. P.; Han, X.; Jiang, C. A novel multi-objective optimization method based on an approximation model management technique. (English) Zbl 1194.74253 Comput. Methods Appl. Mech. Eng. 197, No. 33-40, 2719-2731 (2008). MSC: 74P10 74S30 PDFBibTeX XMLCite \textit{G. P. Liu} et al., Comput. Methods Appl. Mech. Eng. 197, No. 33--40, 2719--2731 (2008; Zbl 1194.74253) Full Text: DOI
Lamberti, Luciano; Pappalettere, Carmine Improved sequential linear programming formulation for structural weight minimization. (English) Zbl 1068.74053 Comput. Methods Appl. Mech. Eng. 193, No. 33-35, 3493-3521 (2004). MSC: 74P05 90C90 PDFBibTeX XMLCite \textit{L. Lamberti} and \textit{C. Pappalettere}, Comput. Methods Appl. Mech. Eng. 193, No. 33--35, 3493--3521 (2004; Zbl 1068.74053) Full Text: DOI
Stanley, Lisa G. Shape sensitivities for optimal design: A case study on the use of continuous sensitivity equation methods. (English) Zbl 1015.74045 Gao, David Y. (ed.) et al., Nonsmooth/nonconvex mechanics. Modeling, analysis and numerical methods. A volume dedicated to the memory of Prof. P. D. Panagiotopoulos. Minisymposium within the ASME 1999 Mechanics and materials conference, Blacksburg, VA, USA, June 27-30, 1999. Boston: Kluwer Academic Publishers. Nonconvex Optim. Appl. 50, 369-389 (2001). MSC: 74P99 74F05 80M50 PDFBibTeX XMLCite \textit{L. G. Stanley}, Nonconvex Optim. Appl. 50, 369--389 (2001; Zbl 1015.74045)
Smith, Ralph C.; Bowers, Kenneth L.; Vogel, Curtis R. Numerical recovery of material parameters in Euler-Bernoulli beam models. (English) Zbl 0898.73032 J. Math. Syst. Estim. Control 7, No. 2, 157-195 (1997). MSC: 74K10 74S05 35R30 PDFBibTeX XMLCite \textit{R. C. Smith} et al., J. Math. Syst. Estim. Control 7, No. 2, 157--195 (1997; Zbl 0898.73032)
Jonca, Katarzyna; Vogel, Curtis R. Numerical solution of the magnetic relief problem. (English) Zbl 0713.73099 Transport theory, invariant imbedding, and integral equations, Proc. in Honor of G.M. Wing’s 65th Birthday, Santa Fe/NM (USA) 1988, Lect. Notes Pure Appl. Math. 115, 379-391 (1989). MSC: 74S30 74L05 65R30 76W05 86A25 86A22 65R20 45B05 PDFBibTeX XML
Kwok, H. H.; Kamat, M. P.; Watson, L. T. Location of stable and unstable equilibrium configurations using a model trust region quasi-Newton method and tunnelling. (English) Zbl 0587.73131 Comput. Struct. 21, 909-916 (1985). MSC: 74S30 PDFBibTeX XMLCite \textit{H. H. Kwok} et al., Comput. Struct. 21, 909--916 (1985; Zbl 0587.73131) Full Text: DOI Link