Milz, Johannes; Ulbrich, Michael Sample size estimates for risk-neutral semilinear PDE-constrained optimization. (English) Zbl 07817041 SIAM J. Optim. 34, No. 1, 844-869 (2024). MSC: 90C15 90C30 90C60 49J20 49J55 49K45 49K20 35J61 PDFBibTeX XMLCite \textit{J. Milz} and \textit{M. Ulbrich}, SIAM J. Optim. 34, No. 1, 844--869 (2024; Zbl 07817041) Full Text: DOI arXiv
Qiu, Jinniao; Yang, Yang Optimal control of Infinite-dimensional differential systems with randomness and path-dependence and stochastic path-dependent Hamilton-Jacobi equations. (English) Zbl 07815229 ESAIM, Control Optim. Calc. Var. 30, Paper No. 12, 42 p. (2024). MSC: 49L20 49L25 35R20 47H05 47N10 93E20 35D40 60H15 PDFBibTeX XMLCite \textit{J. Qiu} and \textit{Y. Yang}, ESAIM, Control Optim. Calc. Var. 30, Paper No. 12, 42 p. (2024; Zbl 07815229) Full Text: DOI arXiv
Wang, Yifan; Zhong, Linlin NAS-PINN: neural architecture search-guided physics-informed neural network for solving PDEs. (English) Zbl 07808002 J. Comput. Phys. 496, Article ID 112603, 15 p. (2024). MSC: 68Txx 35Kxx 65Kxx PDFBibTeX XMLCite \textit{Y. Wang} and \textit{L. Zhong}, J. Comput. Phys. 496, Article ID 112603, 15 p. (2024; Zbl 07808002) Full Text: DOI arXiv
Keil, Tim; Ohlberger, Mario A relaxed localized trust-region reduced basis approach for optimization of multiscale problems. (English) Zbl 07799052 ESAIM, Math. Model. Numer. Anal. 58, No. 1, 79-105 (2024). MSC: 90Cxx 35J20 65N15 65N30 90C06 PDFBibTeX XMLCite \textit{T. Keil} and \textit{M. Ohlberger}, ESAIM, Math. Model. Numer. Anal. 58, No. 1, 79--105 (2024; Zbl 07799052) Full Text: DOI arXiv
Canelas, Alfredo; Abreu, Ana I.; Roche, Jean R. Detection of scatterers using an XFEM-BEM level set solver based on the topological derivative. (English) Zbl 07780883 Inverse Probl. 40, No. 1, Article ID 015007, 26 p. (2024). MSC: 65N21 65N30 65N38 35R30 74B10 74P10 74G75 74S05 74S15 90C59 PDFBibTeX XMLCite \textit{A. Canelas} et al., Inverse Probl. 40, No. 1, Article ID 015007, 26 p. (2024; Zbl 07780883) Full Text: DOI
Kenne, Cyrille; Djomegne, Landry; Mophou, Gisèle Optimal control of a parabolic equation with a nonlocal nonlinearity. (English) Zbl 1527.35162 J. Differ. Equations 378, 234-263 (2024). MSC: 35K58 35K20 35Q93 49K20 90C46 92D25 PDFBibTeX XMLCite \textit{C. Kenne} et al., J. Differ. Equations 378, 234--263 (2024; Zbl 1527.35162) Full Text: DOI arXiv
Li, Danlin; Milz, Johannes Criticality measure-based error estimates for infinite dimensional optimization. arXiv:2402.15948 Preprint, arXiv:2402.15948 [math.OC] (2024). MSC: 90C15 90C60 35Q93 35R60 49M25 49N10 65M60 65C05 BibTeX Cite \textit{D. Li} and \textit{J. Milz}, ``Criticality measure-based error estimates for infinite dimensional optimization'', Preprint, arXiv:2402.15948 [math.OC] (2024) Full Text: arXiv OA License
Chen, Haifan; Dong, Guozhi; Iglesias, José A.; Liu, Wei; Xie, Ziqing Second-order flows for approaching stationary points of a class of non-convex energies via convex-splitting schemes. arXiv:2402.12173 Preprint, arXiv:2402.12173 [math.NA] (2024). MSC: 35Q90 35L71 65M15 65K10 BibTeX Cite \textit{H. Chen} et al., ``Second-order flows for approaching stationary points of a class of non-convex energies via convex-splitting schemes'', Preprint, arXiv:2402.12173 [math.NA] (2024) Full Text: arXiv OA License
Dong, Guozhi; Guo, Hailong; Yang, Shuo Accelerated gradient flows for large bending deformations of nonlinear plates. arXiv:2402.12152 Preprint, arXiv:2402.12152 [math.NA] (2024). MSC: 65N12 65K10 74K20 35Q90 BibTeX Cite \textit{G. Dong} et al., ``Accelerated gradient flows for large bending deformations of nonlinear plates'', Preprint, arXiv:2402.12152 [math.NA] (2024) Full Text: arXiv OA License
Milz, Johannes Reliable error estimates for optimal control of linear elliptic PDEs with random inputs. (English) Zbl 07787060 SIAM/ASA J. Uncertain. Quantif. 11, 1139-1163 (2023). MSC: 90C15 90C60 35Q93 35R60 49M25 49N10 65M60 65C05 PDFBibTeX XMLCite \textit{J. Milz}, SIAM/ASA J. Uncertain. Quantif. 11, 1139--1163 (2023; Zbl 07787060) Full Text: DOI arXiv
Berrone, Stefano; Giverso, Chiara; Grappein, Denise; Preziosi, Luigi; Scialò, Stefano An optimization based 3D-1D coupling strategy for tissue perfusion and chemical transport during tumor-induced angiogenesis. (English) Zbl 07783939 Comput. Math. Appl. 151, 252-270 (2023). MSC: 92C32 92C35 92C17 92C15 35Q92 49J20 PDFBibTeX XMLCite \textit{S. Berrone} et al., Comput. Math. Appl. 151, 252--270 (2023; Zbl 07783939) Full Text: DOI arXiv
Kuznetsov, Maxim; Kolobov, Andrey Mathematical modelling for spatial optimization of irradiation during proton radiotherapy with nanosensitizers. (English) Zbl 07767329 Russ. J. Numer. Anal. Math. Model. 38, No. 5, 303-321 (2023). MSC: 65-XX 35Q92 35Q93 92C05 PDFBibTeX XMLCite \textit{M. Kuznetsov} and \textit{A. Kolobov}, Russ. J. Numer. Anal. Math. Model. 38, No. 5, 303--321 (2023; Zbl 07767329) Full Text: DOI
Lebbe, Nicolas; Pham, Kim; Maurel, Agnès Optimization of plasmonic metasurfaces: a homogenization-based design. (English) Zbl 07766254 J. Comput. Phys. 495, Article ID 112553, 21 p. (2023). MSC: 35Bxx 76Qxx 35Qxx PDFBibTeX XMLCite \textit{N. Lebbe} et al., J. Comput. Phys. 495, Article ID 112553, 21 p. (2023; Zbl 07766254) Full Text: DOI
Li, Xin; Sheng, Zhou; Zhang, Luming High-order Lagrange multiplier method for the coupled Klein-Gordon-Schrödinger system. (English) Zbl 07748043 J. Comput. Phys. 493, Article ID 112456, 21 p. (2023). MSC: 65Mxx 35Qxx 65Lxx PDFBibTeX XMLCite \textit{X. Li} et al., J. Comput. Phys. 493, Article ID 112456, 21 p. (2023; Zbl 07748043) Full Text: DOI
Ainseba, B.; Omrane, A. Low-regret optimal control for an inverse electrocardiological problem with incomplete data. (English) Zbl 07734278 Int. J. Control 96, No. 9, 2296-2302 (2023). MSC: 35Q93 35Q92 92C30 92C50 78A70 35M33 35K15 49J20 49N30 90C47 49K20 35R30 PDFBibTeX XMLCite \textit{B. Ainseba} and \textit{A. Omrane}, Int. J. Control 96, No. 9, 2296--2302 (2023; Zbl 07734278) Full Text: DOI
Dai, Xiaoying; de Gironcoli, Stefano; Yang, Bin; Zhou, Aihui Mathematical analysis and numerical approximations of density functional theory models for metallic systems. (English) Zbl 1518.65072 Multiscale Model. Simul. 21, No. 3, 777-803 (2023). MSC: 65K10 65N25 49S05 35P30 PDFBibTeX XMLCite \textit{X. Dai} et al., Multiscale Model. Simul. 21, No. 3, 777--803 (2023; Zbl 1518.65072) Full Text: DOI arXiv
Guth, Philipp A.; Van Barel, Andreas Multilevel quasi-Monte Carlo for optimization under uncertainty. (English) Zbl 1521.65007 Numer. Math. 154, No. 3-4, 443-484 (2023). MSC: 65C05 65C30 65N21 65K99 49M41 35R60 PDFBibTeX XMLCite \textit{P. A. Guth} and \textit{A. Van Barel}, Numer. Math. 154, No. 3--4, 443--484 (2023; Zbl 1521.65007) Full Text: DOI arXiv
Borghi, Giacomo; Herty, Michael; Pareschi, Lorenzo An adaptive consensus based method for multi-objective optimization with uniform Pareto front approximation. (English) Zbl 07730259 Appl. Math. Optim. 88, No. 2, Paper No. 58, 43 p. (2023). MSC: 65K10 35Q93 35Q90 90C29 90C56 PDFBibTeX XMLCite \textit{G. Borghi} et al., Appl. Math. Optim. 88, No. 2, Paper No. 58, 43 p. (2023; Zbl 07730259) Full Text: DOI arXiv
Blauth, Sebastian Space mapping for PDE constrained shape optimization. (English) Zbl 1520.49019 SIAM J. Optim. 33, No. 3, 1707-1733 (2023). MSC: 49Q10 49M41 65K05 35Q93 PDFBibTeX XMLCite \textit{S. Blauth}, SIAM J. Optim. 33, No. 3, 1707--1733 (2023; Zbl 1520.49019) Full Text: DOI arXiv
Petruhanov, V. N.; Pechen, A. N. GRAPE optimization for open quantum systems with time-dependent decoherence rates driven by coherent and incoherent controls. (English) Zbl 1528.81177 J. Phys. A, Math. Theor. 56, No. 30, Article ID 305303, 32 p. (2023). MSC: 81S22 81Q93 81R30 37B35 35Q93 68P10 47A10 15A20 81-10 PDFBibTeX XMLCite \textit{V. N. Petruhanov} and \textit{A. N. Pechen}, J. Phys. A, Math. Theor. 56, No. 30, Article ID 305303, 32 p. (2023; Zbl 1528.81177) Full Text: DOI arXiv
Basir, Shamsulhaq Investigating and mitigating failure modes in physics-informed neural networks (PINNs). (English) Zbl 1514.65146 Commun. Comput. Phys. 33, No. 5, 1240-1269 (2023). MSC: 65M99 35E05 35E15 68T07 90C30 90C47 90C90 PDFBibTeX XMLCite \textit{S. Basir}, Commun. Comput. Phys. 33, No. 5, 1240--1269 (2023; Zbl 1514.65146) Full Text: DOI arXiv
Huang, Hui; Qiu, Jinniao; Riedl, Konstantin On the global convergence of particle swarm optimization methods. (English) Zbl 1515.65037 Appl. Math. Optim. 88, No. 2, Paper No. 30, 44 p. (2023). MSC: 65C35 65K10 90C26 90C56 35Q90 35Q83 PDFBibTeX XMLCite \textit{H. Huang} et al., Appl. Math. Optim. 88, No. 2, Paper No. 30, 44 p. (2023; Zbl 1515.65037) Full Text: DOI arXiv
Rodriguez, Andrea Carracedo; Balicki, Linus; Gugercin, Serkan The p-AAA algorithm for data-driven modeling of parametric dynamical systems. (English) Zbl 1528.93001 SIAM J. Sci. Comput. 45, No. 3, A1332-A1358 (2023). MSC: 93-10 41A20 35B30 37M99 65L60 93A15 93B15 65K99 PDFBibTeX XMLCite \textit{A. C. Rodriguez} et al., SIAM J. Sci. Comput. 45, No. 3, A1332--A1358 (2023; Zbl 1528.93001) Full Text: DOI arXiv
Maldonado, Diego On proving \(C^{1,\alpha}_{\mathrm{loc}}\)-estimates for convex functions. (English) Zbl 07702396 Proc. Am. Math. Soc. 151, No. 9, 3893-3901 (2023). MSC: 35J96 35J70 46N10 35J75 PDFBibTeX XMLCite \textit{D. Maldonado}, Proc. Am. Math. Soc. 151, No. 9, 3893--3901 (2023; Zbl 07702396) Full Text: DOI
Diaz Gautier, Nelson José; da Silva, Edna Raimunda; Manzanares-Filho, Nelson; Ramírez Camacho, Ramiro Gustavo Automatic update of Gaussian and multiquadric shape parameter for sequential metamodels based optimization. (English) Zbl 07699140 Optim. Eng. 24, No. 1, 469-497 (2023). MSC: 65Dxx 90Cxx 35Jxx PDFBibTeX XMLCite \textit{N. J. Diaz Gautier} et al., Optim. Eng. 24, No. 1, 469--497 (2023; Zbl 07699140) Full Text: DOI
Yang, Yunan; Silantyev, Denis; Caflisch, Russel Adjoint DSMC for nonlinear spatially-homogeneous Boltzmann equation with a general collision model. (English) Zbl 07697003 J. Comput. Phys. 488, Article ID 112247, 23 p. (2023). MSC: 76Pxx 35Qxx 82Cxx PDFBibTeX XMLCite \textit{Y. Yang} et al., J. Comput. Phys. 488, Article ID 112247, 23 p. (2023; Zbl 07697003) Full Text: DOI arXiv
Rodrigo, Marianito R. On a strongly continuous semigroup for a Black-Scholes integro-differential operator: European options under jump-diffusion dynamics. (English) Zbl 1514.47068 Appl. Anal. 102, No. 1, 220-238 (2023). MSC: 47D06 47N10 45K05 91G20 91G80 35A22 65R20 PDFBibTeX XMLCite \textit{M. R. Rodrigo}, Appl. Anal. 102, No. 1, 220--238 (2023; Zbl 1514.47068) Full Text: DOI
Falcone, Maurizio; Kirsten, Gerhard; Saluzzi, Luca Approximation of optimal control problems for the Navier-Stokes equation via multilinear HJB-POD. (English) Zbl 1511.49017 Appl. Math. Comput. 442, Article ID 127722, 17 p. (2023). MSC: 49L20 35Q30 49M41 65K05 76D05 PDFBibTeX XMLCite \textit{M. Falcone} et al., Appl. Math. Comput. 442, Article ID 127722, 17 p. (2023; Zbl 1511.49017) Full Text: DOI arXiv
Luo, Jun-Ren; Xiao, Ti-Jun Optimal convergence rates for damped inertial gradient dynamics with flat geometries. (English) Zbl 1516.90053 Appl. Math. Optim. 87, No. 3, Paper No. 53, 15 p. (2023). MSC: 90C25 34G20 34D05 35L90 47N10 35L71 90C30 PDFBibTeX XMLCite \textit{J.-R. Luo} and \textit{T.-J. Xiao}, Appl. Math. Optim. 87, No. 3, Paper No. 53, 15 p. (2023; Zbl 1516.90053) Full Text: DOI
Oka, Tomoyuki; Yamada, Takayuki Topology optimization method with nonlinear diffusion. (English) Zbl 07665604 Comput. Methods Appl. Mech. Eng. 408, Article ID 115940, 24 p. (2023). MSC: 46N10 35Q93 47J35 PDFBibTeX XMLCite \textit{T. Oka} and \textit{T. Yamada}, Comput. Methods Appl. Mech. Eng. 408, Article ID 115940, 24 p. (2023; Zbl 07665604) Full Text: DOI arXiv
Bohaienko, Vsevolod; Lytvynenko, Anton Computational aspects of cyclic voltammetry simulation for the case of porous electrodes of fractal structure. (English) Zbl 1509.65087 Comput. Appl. Math. 42, No. 2, Paper No. 100, 19 p. (2023). MSC: 65M32 65M06 65M15 65Y10 78A57 78A46 78M20 90C59 93B30 26A33 35R11 35Q60 35R30 35R60 PDFBibTeX XMLCite \textit{V. Bohaienko} and \textit{A. Lytvynenko}, Comput. Appl. Math. 42, No. 2, Paper No. 100, 19 p. (2023; Zbl 1509.65087) Full Text: DOI
Boroujeni, Ahmad Aliyari; Pourgholi, Reza; Tabasi, Seyed Hashem A new improved teaching-learning-based optimization (ITLBO) algorithm for solving nonlinear inverse partial differential equation problems. (English) Zbl 1509.65088 Comput. Appl. Math. 42, No. 2, Paper No. 99, 45 p. (2023). MSC: 65M32 65M30 90C59 35R30 35R25 35Q53 35Q92 PDFBibTeX XMLCite \textit{A. A. Boroujeni} et al., Comput. Appl. Math. 42, No. 2, Paper No. 99, 45 p. (2023; Zbl 1509.65088) Full Text: DOI
Liaudat, Tobias; Starck, Jean-Luc; Kilbinger, Martin; Frugier, Pierre-Antoine Rethinking data-driven point spread function modeling with a differentiable optical model. (English) Zbl 1510.78023 Inverse Probl. 39, No. 3, Article ID 035008, 41 p. (2023). MSC: 78A46 78A45 78A40 78-10 86A10 86A22 65M32 78M50 90C15 65D12 65D25 68Q32 05C05 49N25 35B65 PDFBibTeX XMLCite \textit{T. Liaudat} et al., Inverse Probl. 39, No. 3, Article ID 035008, 41 p. (2023; Zbl 1510.78023) Full Text: DOI arXiv
Liu, Hao; Wang, Dong Fast operator splitting methods for obstacle problems. (English) Zbl 07652823 J. Comput. Phys. 477, Article ID 111941, 21 p. (2023). MSC: 35Jxx 65Kxx 49Jxx PDFBibTeX XMLCite \textit{H. Liu} and \textit{D. Wang}, J. Comput. Phys. 477, Article ID 111941, 21 p. (2023; Zbl 07652823) Full Text: DOI arXiv
Fernandez-Corbaton, Ivan; Griesmaier, Roland; Knöller, Marvin; Rockstuhl, Carsten Maximizing the electromagnetic chirality of thin metallic nanowires at optical frequencies. (English) Zbl 07649275 J. Comput. Phys. 475, Article ID 111854, 23 p. (2023). MSC: 78Axx 35Qxx 78Mxx PDFBibTeX XMLCite \textit{I. Fernandez-Corbaton} et al., J. Comput. Phys. 475, Article ID 111854, 23 p. (2023; Zbl 07649275) Full Text: DOI arXiv
Tacchi, Matteo; Lasserre, Jean Bernard; Henrion, Didier Stokes, Gibbs, and volume computation of semi-algebraic sets. (English) Zbl 1507.14080 Discrete Comput. Geom. 69, No. 1, 260-283 (2023). Reviewer: Jaewoo Jung (Daejeon) MSC: 14P10 90C22 12D15 14Q20 28A75 35J05 53C65 65D30 90C59 PDFBibTeX XMLCite \textit{M. Tacchi} et al., Discrete Comput. Geom. 69, No. 1, 260--283 (2023; Zbl 1507.14080) Full Text: DOI arXiv
Frankowska, H.; Marchini, E. M.; Mazzola, M. Second-order necessary conditions in optimal control of evolution systems. (English) Zbl 1509.49004 J. Evol. Equ. 23, No. 1, Paper No. 5, 43 p. (2023). Reviewer: Juan Casado-Díaz (Sevilla) MSC: 49J27 49J20 49J40 35Q93 93C20 46N10 47J22 47N70 PDFBibTeX XMLCite \textit{H. Frankowska} et al., J. Evol. Equ. 23, No. 1, Paper No. 5, 43 p. (2023; Zbl 1509.49004) Full Text: DOI
Borghi, Giacomo; Pareschi, Lorenzo Kinetic description and convergence analysis of genetic algorithms for global optimization. arXiv:2310.08562 Preprint, arXiv:2310.08562 [math.OC] (2023). MSC: 65C35 90C26 90C59 35Q90 35Q20 BibTeX Cite \textit{G. Borghi} and \textit{L. Pareschi}, ``Kinetic description and convergence analysis of genetic algorithms for global optimization'', Preprint, arXiv:2310.08562 [math.OC] (2023) Full Text: arXiv OA License
Court, Sébastien Modeling defibrillation as a hybrid optimal control problem constrained with hyperelasticity and the global injectivity condition. arXiv:2309.12973 Preprint, arXiv:2309.12973 [math.OC] (2023). MSC: 49K20 74B20 74P99 35K20 35K55 35K61 74F99 74H20 74H30 74S05 74-10 65N30 BibTeX Cite \textit{S. Court}, ``Modeling defibrillation as a hybrid optimal control problem constrained with hyperelasticity and the global injectivity condition'', Preprint, arXiv:2309.12973 [math.OC] (2023) Full Text: arXiv OA License
Chen, Marc; Shirazi, Mohammad; Forsyth, Peter A.; Li, Yuying Machine Learning and Hamilton-Jacobi-Bellman Equation for Optimal Decumulation: a Comparison Study. arXiv:2306.10582 Preprint, arXiv:2306.10582 [math.OC] (2023). MSC: 93E20 91Gxx 68T07 65N06 35Q93 BibTeX Cite \textit{M. Chen} et al., ``Machine Learning and Hamilton-Jacobi-Bellman Equation for Optimal Decumulation: a Comparison Study'', Preprint, arXiv:2306.10582 [math.OC] (2023) Full Text: arXiv OA License
Topalova, Hristina; Zlateva, Nadia Perturbation Method in Orlicz Sequence Spaces. arXiv:2304.11647 Preprint, arXiv:2304.11647 [math.FA] (2023). MSC: 46N10 35A15 49J45 90C48 BibTeX Cite \textit{H. Topalova} and \textit{N. Zlateva}, ``Perturbation Method in Orlicz Sequence Spaces'', Preprint, arXiv:2304.11647 [math.FA] (2023) Full Text: arXiv OA License
Mondal, Subhankar Convergence rates for identification of Robin coefficient from terminal observations. arXiv:2304.00726 Preprint, arXiv:2304.00726 [math.AP] (2023). MSC: 35R25 35R30 46N10 BibTeX Cite \textit{S. Mondal}, ``Convergence rates for identification of Robin coefficient from terminal observations'', Preprint, arXiv:2304.00726 [math.AP] (2023) Full Text: arXiv OA License
Leonardi, Gian Paolo; Comi, Giovanni Eugenio The prescribed mean curvature measure equation in non-parametric form. arXiv:2302.10592 Preprint, arXiv:2302.10592 [math.AP] (2023). MSC: 49Q10 35J93 49Q20 46N10 BibTeX Cite \textit{G. P. Leonardi} and \textit{G. E. Comi}, ``The prescribed mean curvature measure equation in non-parametric form'', Preprint, arXiv:2302.10592 [math.AP] (2023) Full Text: arXiv OA License
Nowakowski, Andrzej; Krawczyk, Anita Control of tumor growth modeled by system of PDE, numerical analysis of optimality conditions. (English) Zbl 07781382 Math. Methods Appl. Sci. 45, No. 16, 9371-9385 (2022). MSC: 35Q92 92C37 92C17 92C50 35K45 49K20 49M41 65M60 65K05 90C39 92-08 PDFBibTeX XMLCite \textit{A. Nowakowski} and \textit{A. Krawczyk}, Math. Methods Appl. Sci. 45, No. 16, 9371--9385 (2022; Zbl 07781382) Full Text: DOI
Huang, Hui; Qiu, Jinniao On the mean-field limit for the consensus-based optimization. (English) Zbl 1527.60077 Math. Methods Appl. Sci. 45, No. 12, 7814-7831 (2022). MSC: 60K35 34F05 35Q70 35Q84 60B10 68W50 90C26 90C59 PDFBibTeX XMLCite \textit{H. Huang} and \textit{J. Qiu}, Math. Methods Appl. Sci. 45, No. 12, 7814--7831 (2022; Zbl 1527.60077) Full Text: DOI arXiv
Bungert, Leon; Korolev, Yury Eigenvalue problems in \(\mathrm{L}^\infty\): optimality conditions, duality, and relations with optimal transport. (English) Zbl 07750995 Commun. Am. Math. Soc. 2, 345-373 (2022). MSC: 26A16 35P30 46N10 47J10 49R05 PDFBibTeX XMLCite \textit{L. Bungert} and \textit{Y. Korolev}, Commun. Am. Math. Soc. 2, 345--373 (2022; Zbl 07750995) Full Text: DOI arXiv
Moumni, M.; Tilioua, M. A neural network approximation for a model of micromagnetism. (English) Zbl 1524.78009 Nonlinear Dyn. Syst. Theory 22, No. 4, 432-446 (2022). MSC: 78A25 35Q60 35B40 93-10 68Q32 68T05 68T09 82D40 35A20 49M41 68T07 35R02 PDFBibTeX XMLCite \textit{M. Moumni} and \textit{M. Tilioua}, Nonlinear Dyn. Syst. Theory 22, No. 4, 432--446 (2022; Zbl 1524.78009) Full Text: Link
Syromyasov, Alekseĭ Olegovich; Shurshina, Anzhela Samatovna; Galkin, Dmitriĭ Vasil’evich Mathematical study of medicine diffusion from swelling chitosan film. (Russian. English summary) Zbl 1524.35662 Zh. Sredn. Mat. Obshch. 24, No. 2, 200-214 (2022). MSC: 35Q92 35K05 35R30 65K05 PDFBibTeX XMLCite \textit{A. O. Syromyasov} et al., Zh. Sredn. Mat. Obshch. 24, No. 2, 200--214 (2022; Zbl 1524.35662) Full Text: DOI MNR
Weissen, Jennifer; Kolb, Oliver; Göttlich, Simone A combined first and second order model for a junction with ramp buffer. (English) Zbl 1507.65151 SMAI J. Comput. Math. 8, 349-374 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 90B20 49K20 49M41 35L65 35Q90 PDFBibTeX XMLCite \textit{J. Weissen} et al., SMAI J. Comput. Math. 8, 349--374 (2022; Zbl 1507.65151) Full Text: DOI arXiv
Banholzer, Stefan; Keil, Tim; Ohlberger, Mario; Mechelli, Luca; Schindler, Felix; Volkwein, Stefan An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization. (English) Zbl 1510.90268 Pure Appl. Funct. Anal. 7, No. 5, 1561-1596 (2022). MSC: 90C31 35J20 65N30 90C06 PDFBibTeX XMLCite \textit{S. Banholzer} et al., Pure Appl. Funct. Anal. 7, No. 5, 1561--1596 (2022; Zbl 1510.90268) Full Text: arXiv Link
Yazidi, Youness El; Ellabib, Abdellatif A new hybrid method for shape optimization with application to semiconductor equations. (English) Zbl 1500.49025 Numer. Algebra Control Optim. 12, No. 4, 763-781 (2022). MSC: 49Q10 65M32 35R30 90C59 PDFBibTeX XMLCite \textit{Y. E. Yazidi} and \textit{A. Ellabib}, Numer. Algebra Control Optim. 12, No. 4, 763--781 (2022; Zbl 1500.49025) Full Text: DOI
Coclite, Giuseppe M.; Garavello, Mauro Measure optimal controls for models inspired by biology. (English) Zbl 1517.35231 SIAM J. Control Optim. 60, No. 5, 3051-3077 (2022). MSC: 35Q93 35K51 49J20 49N25 49N90 35B35 35A01 92D25 35Q92 PDFBibTeX XMLCite \textit{G. M. Coclite} and \textit{M. Garavello}, SIAM J. Control Optim. 60, No. 5, 3051--3077 (2022; Zbl 1517.35231) Full Text: DOI
Krizskiĭ, V. N.; Viktorov, S. V.; Luntovskaya, Ya. A. Mathematical modeling of the transition resistance of the insulation of the main pipeline according to the data of measurements of the magnetic induction vector modulus. (Russian. English summary) Zbl 1498.78024 Mat. Model. 34, No. 9, 107-122 (2022). MSC: 78A46 78A57 78-05 78M50 65K10 65J20 65M32 35Q60 PDFBibTeX XMLCite \textit{V. N. Krizskiĭ} et al., Mat. Model. 34, No. 9, 107--122 (2022; Zbl 1498.78024) Full Text: DOI MNR
Heitzinger, Clemens Algorithms with JULIA. Optimization, machine learning, and differential equations using the JULIA language. (English) Zbl 1512.90003 Cham: Springer (ISBN 978-3-031-16559-7/hbk; 978-3-031-16562-7/pbk; 978-3-031-16560-3/ebook). xxi, 439 p. (2022). Reviewer: Syed Inayatullah (Karachi) MSC: 90-04 68-01 34-01 35-01 34-04 35-04 PDFBibTeX XMLCite \textit{C. Heitzinger}, Algorithms with JULIA. Optimization, machine learning, and differential equations using the JULIA language. Cham: Springer (2022; Zbl 1512.90003) Full Text: DOI
Fornasier, Massimo; Huang, Hui; Pareschi, Lorenzo; Sünnen, Philippe Anisotropic diffusion in consensus-based optimization on the sphere. (English) Zbl 1509.65047 SIAM J. Optim. 32, No. 3, 1984-2012 (2022). MSC: 65K05 90C26 90C56 35Q90 35Q84 PDFBibTeX XMLCite \textit{M. Fornasier} et al., SIAM J. Optim. 32, No. 3, 1984--2012 (2022; Zbl 1509.65047) Full Text: DOI arXiv
Bao, Chenglong; Cai, Jian-Feng; Choi, Jae Kyu; Dong, Bin; Wei, Ke Improved harmonic incompatibility removal for susceptibility mapping via reduction of basis mismatch. (English) Zbl 1513.65035 J. Comput. Math. 40, No. 6, 914-937 (2022). MSC: 65D18 35R30 42B20 65K10 90C90 PDFBibTeX XMLCite \textit{C. Bao} et al., J. Comput. Math. 40, No. 6, 914--937 (2022; Zbl 1513.65035) Full Text: DOI
Boncoraglio, Gabriele; Farhat, Charbel Piecewise-global nonlinear model order reduction for PDE-constrained optimization in high-dimensional parameter spaces. (English) Zbl 1492.35217 SIAM J. Sci. Comput. 44, No. 4, A2176-A2203 (2022). MSC: 35Q35 35Q93 46N10 78M50 76G25 76B75 90C30 PDFBibTeX XMLCite \textit{G. Boncoraglio} and \textit{C. Farhat}, SIAM J. Sci. Comput. 44, No. 4, A2176--A2203 (2022; Zbl 1492.35217) Full Text: DOI
Kovtunenko, Victor A.; Ohtsuka, Kohji Inverse problem of shape identification from boundary measurement for Stokes equations: shape differentiability of Lagrangian. (English) Zbl 1492.35184 J. Inverse Ill-Posed Probl. 30, No. 4, 461-474 (2022). MSC: 35Q30 49Q10 49Q12 90C47 PDFBibTeX XMLCite \textit{V. A. Kovtunenko} and \textit{K. Ohtsuka}, J. Inverse Ill-Posed Probl. 30, No. 4, 461--474 (2022; Zbl 1492.35184) Full Text: DOI
Johnson, Joseph D.; Redlich, Adam M.; Abrams, Daniel M. A mathematical model for the origin of name brands and generics. (English) Zbl 1501.35404 SIAM Rev. 64, No. 3, 625-639 (2022). Reviewer: Solden Stoll (Seattle) MSC: 35Q91 37N40 91-10 91A16 91A23 91B15 91B42 91B55 PDFBibTeX XMLCite \textit{J. D. Johnson} et al., SIAM Rev. 64, No. 3, 625--639 (2022; Zbl 1501.35404) Full Text: DOI arXiv
Niu, Yi-Shuai; Glowinski, Roland Discrete dynamical system approaches for Boolean polynomial optimization. (English) Zbl 1492.90088 J. Sci. Comput. 92, No. 2, Paper No. 46, 39 p. (2022). MSC: 90C09 90C10 90C27 90C30 35Q90 65K05 PDFBibTeX XMLCite \textit{Y.-S. Niu} and \textit{R. Glowinski}, J. Sci. Comput. 92, No. 2, Paper No. 46, 39 p. (2022; Zbl 1492.90088) Full Text: DOI arXiv
Domschke, Pia; Kolb, Oliver; Lang, Jens Fast and reliable transient simulation and continuous optimization of large-scale gas networks. (English) Zbl 1502.65059 Math. Methods Oper. Res. 95, No. 3, 475-501 (2022). MSC: 65M06 65N06 65M15 76N15 35Q31 49M25 49M41 90C20 90C46 05C82 93C20 35Q93 PDFBibTeX XMLCite \textit{P. Domschke} et al., Math. Methods Oper. Res. 95, No. 3, 475--501 (2022; Zbl 1502.65059) Full Text: DOI arXiv
Huang, Fei; Lu, Zuliang; Li, Lin; Wu, Xiankui; Liu, Shang; Yang, Yin Numerical simulation for European and American option of risks in climate change of Three Gorges Reservoir Area. (English) Zbl 1493.91143 J. Numer. Math. 30, No. 1, 23-42 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 91G50 65M08 65C30 65M22 65M12 65K10 35K55 35A02 91G60 91G20 35R35 91-10 PDFBibTeX XMLCite \textit{F. Huang} et al., J. Numer. Math. 30, No. 1, 23--42 (2022; Zbl 1493.91143) Full Text: DOI
Glowinski, Roland; Song, Yongcun; Yuan, Xiaoming; Yue, Hangrui Application of the alternating direction method of multipliers to control constrained parabolic optimal control problems and beyond. (English) Zbl 1499.49090 Ann. Appl. Math. 38, No. 2, 115-158 (2022). MSC: 49M41 35Q90 35Q93 65K05 65K10 90C25 PDFBibTeX XMLCite \textit{R. Glowinski} et al., Ann. Appl. Math. 38, No. 2, 115--158 (2022; Zbl 1499.49090) Full Text: DOI
Gao, Bin; Hu, Guanghui; Kuang, Yang; Liu, Xin An orthogonalization-free parallelizable framework for all-electron calculations in density functional theory. (English) Zbl 1491.35402 SIAM J. Sci. Comput. 44, No. 3, B723-B745 (2022). MSC: 35Q55 82M36 65N30 49M41 90C06 65Y05 65N55 65P30 PDFBibTeX XMLCite \textit{B. Gao} et al., SIAM J. Sci. Comput. 44, No. 3, B723--B745 (2022; Zbl 1491.35402) Full Text: DOI arXiv
Wang, Jing On the \(L_q\)-reflector problem in \(\mathbb{R}^n\) with non-Euclidean norm. (English) Zbl 1489.78012 Adv. Nonlinear Stud. 22, 184-202 (2022). MSC: 78M30 78A05 35A01 47N10 53A07 52A41 52A20 PDFBibTeX XMLCite \textit{J. Wang}, Adv. Nonlinear Stud. 22, 184--202 (2022; Zbl 1489.78012) Full Text: DOI
Weiß, Olga; Walther, Andrea A structure exploiting algorithm for non-smooth semi-linear elliptic optimal control problems. (English) Zbl 1489.49011 Surv. Math. Appl. 17, 139-179 (2022). MSC: 49J52 37N30 46N10 65N30 49M15 35J61 PDFBibTeX XMLCite \textit{O. Weiß} and \textit{A. Walther}, Surv. Math. Appl. 17, 139--179 (2022; Zbl 1489.49011) Full Text: Link
Bello-Cruz, J. Y.; Bouza Allende, G. On inexact projected gradient methods for solving variable vector optimization problems. (English) Zbl 1485.90122 Optim. Eng. 23, No. 1, 201-232 (2022). MSC: 90C29 90C52 65K05 35E10 PDFBibTeX XMLCite \textit{J. Y. Bello-Cruz} and \textit{G. Bouza Allende}, Optim. Eng. 23, No. 1, 201--232 (2022; Zbl 1485.90122) Full Text: DOI
Benamou, Jean-David; Chazareix, Guillaume; IJzerman, Wilbert; Rukhaia, Giorgi Point source regularization of the finite source reflector problem. (English) Zbl 07518109 J. Comput. Phys. 456, Article ID 111032, 19 p. (2022). MSC: 78Axx 35Qxx 35Rxx PDFBibTeX XMLCite \textit{J.-D. Benamou} et al., J. Comput. Phys. 456, Article ID 111032, 19 p. (2022; Zbl 07518109) Full Text: DOI HAL
Sirignano, Justin; Spiliopoulos, Konstantinos Online adjoint methods for optimization of PDEs. (English) Zbl 07511789 Appl. Math. Optim. 85, No. 2, Paper No. 18, 29 p. (2022). MSC: 65-XX 35-XX 90-XX 34-XX PDFBibTeX XMLCite \textit{J. Sirignano} and \textit{K. Spiliopoulos}, Appl. Math. Optim. 85, No. 2, Paper No. 18, 29 p. (2022; Zbl 07511789) 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 PDFBibTeX XMLCite \textit{S. Amstutz} et al., ESAIM, Control Optim. Calc. Var. 28, Paper No. 18, 71 p. (2022; Zbl 1485.49050) Full Text: DOI
Walther, Andrea; Weiß, Olga; Griewank, Andreas; Schmidt, Stephan Nonsmooth optimization by successive abs-linearization in function spaces. (English) Zbl 1486.90193 Appl. Anal. 101, No. 1, 225-240 (2022). MSC: 90C30 90C56 65K10 47N10 35Q93 PDFBibTeX XMLCite \textit{A. Walther} et al., Appl. Anal. 101, No. 1, 225--240 (2022; Zbl 1486.90193) Full Text: DOI
Dimarco, Giacomo; Tosin, Andrea; Zanella, Mattia Kinetic derivation of Aw-Rascle-Zhang-type traffic models with driver-assist vehicles. (English) Zbl 1514.35304 J. Stat. Phys. 186, No. 1, Paper No. 17, 26 p. (2022). MSC: 35Q20 35Q90 35Q93 90B20 76A30 82C40 35R09 45K05 49M41 93C20 90-08 PDFBibTeX XMLCite \textit{G. Dimarco} et al., J. Stat. Phys. 186, No. 1, Paper No. 17, 26 p. (2022; Zbl 1514.35304) Full Text: DOI arXiv
Tozza, Silvia; Toraldo, Gerardo Numerical hints for insulation problems. (English) Zbl 1524.49075 Appl. Math. Lett. 123, Article ID 107609, 8 p. (2022). MSC: 49Q10 49Q20 35R35 90C90 PDFBibTeX XMLCite \textit{S. Tozza} and \textit{G. Toraldo}, Appl. Math. Lett. 123, Article ID 107609, 8 p. (2022; Zbl 1524.49075) Full Text: DOI
Milz, Johannes; Surowiec, Thomas M. Asymptotic Consistency for Nonconvex Risk-Averse Stochastic Optimization with Infinite Dimensional Decision Spaces. arXiv:2207.14756 Preprint, arXiv:2207.14756 [math.OC] (2022). MSC: 90C15 90C06 62F12 35Q93 49M41 49J52 BibTeX Cite \textit{J. Milz} and \textit{T. M. Surowiec}, ``Asymptotic Consistency for Nonconvex Risk-Averse Stochastic Optimization with Infinite Dimensional Decision Spaces'', Preprint, arXiv:2207.14756 [math.OC] (2022) Full Text: DOI arXiv OA License
Shao, Sihong; Wu, Yishan An ODE approach to multiple choice polynomial programming. arXiv:2212.06371 Preprint, arXiv:2212.06371 [math.OC] (2022). MSC: 90C59 35Q90 90C09 90C23 BibTeX Cite \textit{S. Shao} and \textit{Y. Wu}, ``An ODE approach to multiple choice polynomial programming'', Preprint, arXiv:2212.06371 [math.OC] (2022) Full Text: arXiv OA License
Riedl, Konstantin Leveraging Memory Effects and Gradient Information in Consensus-Based Optimization: On Global Convergence in Mean-Field Law. arXiv:2211.12184 Preprint, arXiv:2211.12184 [math.NA] (2022). MSC: 65K10 90C26 90C56 35Q90 35Q84 BibTeX Cite \textit{K. Riedl}, ``Leveraging Memory Effects and Gradient Information in Consensus-Based Optimization: On Global Convergence in Mean-Field Law'', Preprint, arXiv:2211.12184 [math.NA] (2022) Full Text: arXiv OA License
Denisov, A. M.; Matveenko, V. S. The inverse problem for a mathematical model of deionization aqueous solutions. (English. Russian original) Zbl 1503.35154 Comput. Math. Model. 32, No. 4, 389-398 (2021); translation from Prikl. Mat. Inf. 68, 4-14 (2021). MSC: 35Q35 76S05 76T20 78A25 35R30 35A02 65M32 65M06 65K10 76M21 76M20 92D40 PDFBibTeX XMLCite \textit{A. M. Denisov} and \textit{V. S. Matveenko}, Comput. Math. Model. 32, No. 4, 389--398 (2021; Zbl 1503.35154); translation from Prikl. Mat. Inf. 68, 4--14 (2021) Full Text: DOI
Jilavyan, S. H.; Khurshudyan, A. Zh. Averaged controllability of thermoelasticity equations. Average state of a rectangular plate. (English) Zbl 1493.35127 Proc. Yerevan State Univ., Phys. Math. Sci. 55, No. 2, 123-130 (2021). MSC: 35Q93 74F05 PDFBibTeX XMLCite \textit{S. H. Jilavyan} and \textit{A. Zh. Khurshudyan}, Proc. Yerevan State Univ., Phys. Math. Sci. 55, No. 2, 123--130 (2021; Zbl 1493.35127) Full Text: DOI MNR
Hintermüller, Michael (ed.); Kunisch, Karl (ed.); Leugering, Günter (ed.); Rocca, Elisabetta (ed.) Challenges in optimization with complex PDE-systems. Abstracts from the workshop held February 14–20, 2021 (hybrid meeting). (English) Zbl 1487.00039 Oberwolfach Rep. 18, No. 1, 419-506 (2021). MSC: 00B05 00B25 35-06 49-06 35Q90 35Q93 35R06 49J20 49J21 49J40 49J52 49J53 49K20 49K21 49Mxx 49N45 49Q10 65M06 90C46 90C48 PDFBibTeX XMLCite \textit{M. Hintermüller} (ed.) et al., Oberwolfach Rep. 18, No. 1, 419--506 (2021; Zbl 1487.00039) Full Text: DOI
Zhao, Hongbo; Braatz, Richard D.; Bazant, Martin Z. Image inversion and uncertainty quantification for constitutive laws of pattern formation. (English) Zbl 07513843 J. Comput. Phys. 436, Article ID 110279, 22 p. (2021). MSC: 68Txx 35Qxx 65Lxx PDFBibTeX XMLCite \textit{H. Zhao} et al., J. Comput. Phys. 436, Article ID 110279, 22 p. (2021; Zbl 07513843) Full Text: DOI arXiv
Klyuchinskiy, Dmitriy V.; Novikov, Nikita S.; Shishlenin, Maxim A. CPU-time and RAM memory optimization for solving dynamic inverse problems using gradient-based approach. (English) Zbl 07512320 J. Comput. Phys. 439, Article ID 110374, 8 p. (2021). MSC: 65Mxx 35Rxx 35Qxx PDFBibTeX XMLCite \textit{D. V. Klyuchinskiy} et al., J. Comput. Phys. 439, Article ID 110374, 8 p. (2021; Zbl 07512320) Full Text: DOI
Chen, Peng; Haberman, Michael R.; Ghattas, Omar Optimal design of acoustic metamaterial cloaks under uncertainty. (English) Zbl 07511447 J. Comput. Phys. 431, Article ID 110114, 23 p. (2021). MSC: 35Qxx 65Cxx 49Mxx PDFBibTeX XMLCite \textit{P. Chen} et al., J. Comput. Phys. 431, Article ID 110114, 23 p. (2021; Zbl 07511447) Full Text: DOI arXiv
Bekar, Ali C.; Madenci, Erdogan Peridynamics enabled learning partial differential equations. (English) Zbl 07508517 J. Comput. Phys. 434, Article ID 110193, 35 p. (2021). MSC: 35Qxx 65Fxx 74Axx PDFBibTeX XMLCite \textit{A. C. Bekar} and \textit{E. Madenci}, J. Comput. Phys. 434, Article ID 110193, 35 p. (2021; Zbl 07508517) Full Text: DOI
Gu, Yu; Quastel, Jeremy; Tsai, Li-Cheng Moments of the 2D SHE at criticality. (English) Zbl 1483.60093 Probab. Math. Phys. 2, No. 1, 179-219 (2021). MSC: 60H15 35R60 82D60 46N30 81Q05 47N10 60H40 PDFBibTeX XMLCite \textit{Y. Gu} et al., Probab. Math. Phys. 2, No. 1, 179--219 (2021; Zbl 1483.60093) Full Text: DOI arXiv
Kwon, Dohyun; Mészáros, Alpár Richárd Degenerate nonlinear parabolic equations with discontinuous diffusion coefficients. (English) Zbl 1478.35134 J. Lond. Math. Soc., II. Ser. 104, No. 2, 688-746 (2021). MSC: 35K65 35D30 35K20 35K59 35R05 49Q22 46N10 PDFBibTeX XMLCite \textit{D. Kwon} and \textit{A. R. Mészáros}, J. Lond. Math. Soc., II. Ser. 104, No. 2, 688--746 (2021; Zbl 1478.35134) Full Text: DOI arXiv
Nobile, Fabio; Pradovera, Davide Non-intrusive double-greedy parametric model reduction by interpolation of frequency-domain rational surrogates. (English) Zbl 1528.65117 ESAIM, Math. Model. Numer. Anal. 55, No. 5, 1895-1920 (2021). MSC: 65N30 65K10 90C59 42C10 35J05 35B30 35P15 41A20 93B11 PDFBibTeX XMLCite \textit{F. Nobile} and \textit{D. Pradovera}, ESAIM, Math. Model. Numer. Anal. 55, No. 5, 1895--1920 (2021; Zbl 1528.65117) Full Text: DOI arXiv
Hintermüller, Michael; Keil, Tobias Optimal control of geometric partial differential equations. (English) Zbl 1475.49005 Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part 2. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 22, 213-270 (2021). MSC: 49J20 49K20 49J40 35J87 35Q93 35Q35 35R35 90C33 90C46 76D45 76T10 65K10 65K15 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{T. Keil}, Handb. Numer. Anal. 22, 213--270 (2021; Zbl 1475.49005) Full Text: DOI
Allaire, Grégoire; Dapogny, Charles; Jouve, François Shape and topology optimization. (English) Zbl 1475.49048 Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part 2. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 22, 1-132 (2021). MSC: 49Q10 90C90 65K10 65N50 35Q74 74S05 35Q93 PDFBibTeX XMLCite \textit{G. Allaire} et al., Handb. Numer. Anal. 22, 1--132 (2021; Zbl 1475.49048) Full Text: DOI HAL
Mazari, Idriss; Nadin, Grégoire; Toledo Marrero, Ana Isis Optimisation of the total population size with respect to the initial condition for semilinear parabolic equations: two-scale expansions and symmetrisations. (English) Zbl 1483.35304 Nonlinearity 34, No. 11, 7510-7539 (2021). MSC: 35Q93 35B30 35B65 35K15 35K57 37K58 49Q10 49M41 65K10 90C20 90C59 92D25 35C20 PDFBibTeX XMLCite \textit{I. Mazari} et al., Nonlinearity 34, No. 11, 7510--7539 (2021; Zbl 1483.35304) Full Text: DOI arXiv
Yuan, Yujing; Liang, Dong Optimization of identifying point pollution sources for the convection-diffusion-reaction equations. (English) Zbl 1488.65388 Adv. Appl. Math. Mech. 13, No. 1, 1-17 (2021). MSC: 65M32 35Q93 86A05 90C59 90C90 PDFBibTeX XMLCite \textit{Y. Yuan} and \textit{D. Liang}, Adv. Appl. Math. Mech. 13, No. 1, 1--17 (2021; Zbl 1488.65388) Full Text: DOI
Keil, Tim; Mechelli, Luca; Ohlberger, Mario; Schindler, Felix; Volkwein, Stefan A non-conforming dual approach for adaptive trust-region reduced basis approximation of PDE-constrained parameter optimization. (English) Zbl 1527.90221 ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1239-1269 (2021). MSC: 90C30 35J20 65N30 90C06 PDFBibTeX XMLCite \textit{T. Keil} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1239--1269 (2021; Zbl 1527.90221) Full Text: DOI arXiv
Wei, Lin-Yang; Qi, Hong; Niu, Zhi-Tian; Wen, Shuang; Ren, Ya-Tao Inverse heat transfer analysis to determine the temperature or phase change-dependent refractive index of semitransparent materials. (English) Zbl 1501.65057 Inverse Probl. Sci. Eng. 29, No. 4, 586-608 (2021). MSC: 65M32 65M08 65K10 80A21 80A23 80A19 78A60 35P20 90C59 78M50 PDFBibTeX XMLCite \textit{L.-Y. Wei} et al., Inverse Probl. Sci. Eng. 29, No. 4, 586--608 (2021; Zbl 1501.65057) Full Text: DOI
Gangl, Peter; Sturm, Kevin Asymptotic analysis and topological derivative for 3D quasi-linear magnetostatics. (English) Zbl 1472.49061 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 853-875 (2021). MSC: 49Q10 90C46 78A30 35Q61 PDFBibTeX XMLCite \textit{P. Gangl} and \textit{K. Sturm}, ESAIM, Math. Model. Numer. Anal. 55, 853--875 (2021; Zbl 1472.49061) Full Text: DOI arXiv
Kostas, Konstantinos; Kalel, Yeraly; Amiralin, Azat Solving 2D heat transfer problems with the aid of a BEM-isogeometric solver. (English) Zbl 1493.65252 van Brummelen, Harald (ed.) et al., Isogeometric analysis and applications 2018. Selected papers based on the presentations at the third conference, IGAA 2018, Delft, The Netherlands, April 23–26, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 133, 99-130 (2021). MSC: 65N38 65D07 65D17 90C59 35K05 35Q79 PDFBibTeX XMLCite \textit{K. Kostas} et al., Lect. Notes Comput. Sci. Eng. 133, 99--130 (2021; Zbl 1493.65252) Full Text: DOI
Brenner, Susanne C.; Sung, Li-yeng; Tan, Zhiyu; Zhang, Hongchao A convexity enforcing \(C^0\) interior penalty method for the Monge-Ampère equation on convex polygonal domains. (English) Zbl 1477.65194 Numer. Math. 148, No. 3, 497-524 (2021). MSC: 65N30 65K10 65N15 35G30 35J96 90C06 90C26 35D30 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Numer. Math. 148, No. 3, 497--524 (2021; Zbl 1477.65194) Full Text: DOI
Ghezaiel, Emna; Hassine, Maatoug Topological asymptotic expansion for a thermal problem. (English) Zbl 1470.49066 Appl. Math. Optim. 84, No. 1, 955-995 (2021). MSC: 49N45 49Q12 49Q10 65K05 35Q93 49S05 PDFBibTeX XMLCite \textit{E. Ghezaiel} and \textit{M. Hassine}, Appl. Math. Optim. 84, No. 1, 955--995 (2021; Zbl 1470.49066) Full Text: DOI
Raeder, T.; Tenenev, V. A.; Chernova, A. A. Incorporation of fluid compressibility into the calculation of the stationary mode of operation of a hydraulic device at high fluid pressures. (English) Zbl 1476.35179 Russ. J. Nonlinear Dyn. 17, No. 2, 195-209 (2021). MSC: 35Q30 35Q31 35Q35 76-10 76D05 76N15 76L05 35L67 65M08 76M12 65K10 PDFBibTeX XMLCite \textit{T. Raeder} et al., Russ. J. Nonlinear Dyn. 17, No. 2, 195--209 (2021; Zbl 1476.35179) Full Text: DOI MNR
Petrasova, Iveta; Kotlan, Vaclav; Panek, David; Dolezel, Ivo Methodology of determining material parameters based on optimization techniques. (English) Zbl 1475.80002 J. Comput. Appl. Math. 398, Article ID 113671, 14 p. (2021). Reviewer: Aleksey Syromyasov (Saransk) MSC: 80A17 80A22 80A23 35K05 80M50 65K05 PDFBibTeX XMLCite \textit{I. Petrasova} et al., J. Comput. Appl. Math. 398, Article ID 113671, 14 p. (2021; Zbl 1475.80002) Full Text: DOI
Kouri, Drew P.; Ridzal, Denis; Tuminaro, Ray KKT preconditioners for PDE-constrained optimization with the Helmholtz equation. (English) Zbl 1477.65179 SIAM J. Sci. Comput. 43, No. 3, S225-S248 (2021). MSC: 65N21 65K10 65F08 65N12 35J05 49M41 49M05 90C46 93B05 93B07 PDFBibTeX XMLCite \textit{D. P. Kouri} et al., SIAM J. Sci. Comput. 43, No. 3, S225--S248 (2021; Zbl 1477.65179) Full Text: DOI
Papadopoulos, Ioannis P. A.; Farrell, Patrick E.; Surowiec, Thomas M. Computing multiple solutions of topology optimization problems. (English) Zbl 1472.35308 SIAM J. Sci. Comput. 43, No. 3, A1555-A1582 (2021). MSC: 35Q35 49M15 65K05 65K10 74P05 74P10 90C26 90C51 PDFBibTeX XMLCite \textit{I. P. A. Papadopoulos} et al., SIAM J. Sci. Comput. 43, No. 3, A1555--A1582 (2021; Zbl 1472.35308) Full Text: DOI arXiv