Xia, Qing; Zhu, Junxia; Yu, Qian; Kim, Junseok; Li, Yibao Triply periodic minimal surfaces based topology optimization for the hydrodynamic and convective heat transfer. (English) Zbl 07810023 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107819, 23 p. (2024). MSC: 65M06 65N06 65K10 76D07 76S05 76D55 80A19 74F10 74F05 49M41 53E10 76M20 35Q35 PDFBibTeX XMLCite \textit{Q. Xia} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107819, 23 p. (2024; Zbl 07810023) Full Text: DOI
Peng, Zhichao; Appelö, Daniel; Liu, Shuang Universal AMG accelerated embedded boundary method without small cell stiffness. (English) Zbl 07754876 J. Sci. Comput. 97, No. 2, Paper No. 40, 29 p. (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N06 65M55 65N50 65M12 65M15 65D12 65D05 65F10 80A22 76D05 49Q10 35R37 PDFBibTeX XMLCite \textit{Z. Peng} et al., J. Sci. Comput. 97, No. 2, Paper No. 40, 29 p. (2023; Zbl 07754876) Full Text: DOI arXiv
Gao, Yuan; Zhou, Yufan Hamilton dynamics in chemical reactions: the Maupertuis principle, transition paths and energy landscape. (English) Zbl 07747628 Commun. Math. Anal. Appl. 2, No. 3, 245-288 (2023). MSC: 49L99 80A30 49N99 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{Y. Zhou}, Commun. Math. Anal. Appl. 2, No. 3, 245--288 (2023; Zbl 07747628) Full Text: DOI
Ali, Riasat; Akhtar, Z.; Bamba, Kazuharu; Khan, M. Umar Tunneling and thermodynamics evolution of the magnetised ernst-like black hole. (English) Zbl 1528.83065 Gen. Relativ. Gravitation 55, No. 2, Paper No. 28, 18 p. (2023). MSC: 83C57 82D40 83C45 49L12 80A10 65B05 81U26 81S07 94A17 PDFBibTeX XMLCite \textit{R. Ali} et al., Gen. Relativ. Gravitation 55, No. 2, Paper No. 28, 18 p. (2023; Zbl 1528.83065) Full Text: DOI arXiv
Blauth, Sebastian; Pinnau, René; Andres, Matthias; Totzeck, Claudia Asymptotic analysis for optimal control of the Cattaneo model. (English) Zbl 07708124 J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127375, 21 p. (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q79 35K05 80A10 35B40 35R07 49M41 65M60 65M06 65N30 65M12 PDFBibTeX XMLCite \textit{S. Blauth} et al., J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127375, 21 p. (2023; Zbl 07708124) Full Text: DOI arXiv
Feliciangeli, Dario; Gerolin, Augusto; Portinale, Lorenzo A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. (English) Zbl 1522.81056 J. Funct. Anal. 285, No. 4, Article ID 109963, 39 p. (2023). MSC: 81P68 81S07 94A17 74E30 49Q22 81P16 80A10 81V55 PDFBibTeX XMLCite \textit{D. Feliciangeli} et al., J. Funct. Anal. 285, No. 4, Article ID 109963, 39 p. (2023; Zbl 1522.81056) Full Text: DOI arXiv
Nguyen, Dinh-Liem (ed.); Nguyen, Loc Hoang (ed.); Nguyen, Thi-Phong (ed.) Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13–14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23–24, 2021. (English) Zbl 1512.35009 Contemporary Mathematics 784. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6968-9/pbk; 978-1-4704-7288-7/ebook). vii, 206 p. (2023). MSC: 35-06 00B25 35J05 35R30 49N45 65M32 65N21 65R20 78A46 78M22 80A23 86A22 PDFBibTeX XMLCite \textit{D.-L. Nguyen} (ed.) et al., Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13--14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23--24, 2021. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1512.35009) Full Text: DOI
Du, Hengrong; Li, Qinfeng; Wang, Changyou Compactness of \(M\)-uniform domains and optimal thermal insulation problems. (English) Zbl 1505.80003 Adv. Calc. Var. 16, No. 1, 17-43 (2023). MSC: 80A19 80A21 49Q20 49Q10 35R09 PDFBibTeX XMLCite \textit{H. Du} et al., Adv. Calc. Var. 16, No. 1, 17--43 (2023; Zbl 1505.80003) Full Text: DOI arXiv
Alpar, Sultan; Rysbaiuly, Bolatbek Determination of thermophysical characteristics in a nonlinear inverse heat transfer problem. (English) Zbl 1511.49023 Appl. Math. Comput. 440, Article ID 127656, 19 p. (2023). MSC: 49N45 35C05 35K20 35R11 35R30 65M32 80A23 PDFBibTeX XMLCite \textit{S. Alpar} and \textit{B. Rysbaiuly}, Appl. Math. Comput. 440, Article ID 127656, 19 p. (2023; Zbl 1511.49023) Full Text: DOI
Zhang, Shan; Yang, Zihao; Guan, Xiaofei Multi-modes multiscale approach of heat transfer problems in heterogeneous solids with uncertain thermal conductivity. (English) Zbl 1513.65474 Adv. Appl. Math. Mech. 15, No. 1, 69-93 (2023). MSC: 65N30 65N12 65N15 80M10 80M22 35R60 49M41 80M31 80A19 PDFBibTeX XMLCite \textit{S. Zhang} et al., Adv. Appl. Math. Mech. 15, No. 1, 69--93 (2023; Zbl 1513.65474) Full Text: DOI
Acampora, Paolo; Cristoforoni, Emanuele; Nitsch, Carlo; Trombetti, Cristina On the optimal shape of a thin insulating layer. arXiv:2305.04078 Preprint, arXiv:2305.04078 [math.AP] (2023). MSC: 49J45 35J25 35B06 80A19 BibTeX Cite \textit{P. Acampora} et al., ``On the optimal shape of a thin insulating layer'', Preprint, arXiv:2305.04078 [math.AP] (2023) Full Text: arXiv OA License
Evtushenko, Yu. G.; Zubov, V. I.; Albu, A. F. Numerical study of stability of an algorithm for identifying the thermal conductivity in the three-dimensional case. (English) Zbl 07798285 J. Math. Sci., New York 267, No. 4, 474-482 (2022). MSC: 65M32 65M06 35K05 80A19 49M41 49N45 PDFBibTeX XMLCite \textit{Yu. G. Evtushenko} et al., J. Math. Sci., New York 267, No. 4, 474--482 (2022; Zbl 07798285) Full Text: DOI
Marx, Thomas Shape optimization for radiative transfer models – with applications in high-temperature processes. (English) Zbl 1518.80002 Mathematik. München: Dr. Hut; Kaiserslautern: TU Kaiserslautern (Diss.) (ISBN 978-3-8439-5021-3/pbk). 153 p. (2022). MSC: 80-02 80A21 49Q10 49K20 35A01 35A02 35B45 35R09 76D05 76R05 76R10 80M99 35Q79 PDFBibTeX XMLCite \textit{T. Marx}, Shape optimization for radiative transfer models -- with applications in high-temperature processes. München: Dr. Hut; Kaiserslautern: TU Kaiserslautern (Diss.) (2022; Zbl 1518.80002)
Dietrich, Nicolas Asymptotic analysis and optimization problems in approximate radiative heat transfer. (English) Zbl 1518.80001 Mathematik. München: Dr. Hut; Kaiserslautern: TU Kaiserslautern (Diss.) (ISBN 978-3-8439-5176-0/pbk). 139 p. (2022). MSC: 80-02 80A21 49Q10 49K20 93C20 80M35 80M99 35A01 35A02 35B40 PDFBibTeX XMLCite \textit{N. Dietrich}, Asymptotic analysis and optimization problems in approximate radiative heat transfer. München: Dr. Hut; Kaiserslautern: TU Kaiserslautern (Diss.) (2022; Zbl 1518.80001)
Wang, Cheng; Wise, Steven M. A thermodynamically-consistent phase field crystal model of solidification with heat flux. (English) Zbl 1524.80013 J. Math. Study 55, No. 4, 337-357 (2022). MSC: 80A22 35K35 35K55 49J40 82M36 82C21 PDFBibTeX XMLCite \textit{C. Wang} and \textit{S. M. Wise}, J. Math. Study 55, No. 4, 337--357 (2022; Zbl 1524.80013) Full Text: DOI arXiv
Sunayama, Yosuke; Kimura, Masato; Rabago, Julius Fergy T. Comoving mesh method for certain classes of moving boundary problems. (English) Zbl 1506.65163 Japan J. Ind. Appl. Math. 39, No. 3, 973-1001 (2022). MSC: 65M60 65M99 65N30 65N50 65M12 65M15 35R35 35R37 76D27 80A22 49Q10 PDFBibTeX XMLCite \textit{Y. Sunayama} et al., Japan J. Ind. Appl. Math. 39, No. 3, 973--1001 (2022; Zbl 1506.65163) Full Text: DOI arXiv
Prohl, Andreas; Wang, Yanqing Strong error estimates for a space-time discretization of the linear-quadratic control problem with the stochastic heat equation with linear noise. (English) Zbl 1505.65267 IMA J. Numer. Anal. 42, No. 4, 3386-3429 (2022). MSC: 65M60 49M05 49N10 60H15 65C30 80A19 93E20 PDFBibTeX XMLCite \textit{A. Prohl} and \textit{Y. Wang}, IMA J. Numer. Anal. 42, No. 4, 3386--3429 (2022; Zbl 1505.65267) Full Text: DOI arXiv
Lai, Ning-An; Liu, Chun; Tarfulea, Andrei Positivity of temperature for some non-isothermal fluid models. (English) Zbl 1498.35429 J. Differ. Equations 339, 555-578 (2022). MSC: 35Q35 76N15 76S05 80A19 49J35 35B09 PDFBibTeX XMLCite \textit{N.-A. Lai} et al., J. Differ. Equations 339, 555--578 (2022; Zbl 1498.35429) Full Text: DOI arXiv
Gao, Yuan; Liu, Jian-Guo Revisit of macroscopic dynamics for some non-equilibrium chemical reactions from a Hamiltonian viewpoint. (English) Zbl 1498.80011 J. Stat. Phys. 189, No. 2, Paper No. 22, 57 p. (2022). MSC: 80A32 80A30 44A15 35F21 49L12 60F10 60G55 92C40 81Q20 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{J.-G. Liu}, J. Stat. Phys. 189, No. 2, Paper No. 22, 57 p. (2022; Zbl 1498.80011) Full Text: DOI arXiv
Labourie, C.; Milakis, E. The calibration method for the thermal insulation functional. (English) Zbl 1496.80003 ESAIM, Control Optim. Calc. Var. 28, Paper No. 50, 39 p. (2022). MSC: 80A19 35R09 35R35 49K10 49Q10 PDFBibTeX XMLCite \textit{C. Labourie} and \textit{E. Milakis}, ESAIM, Control Optim. Calc. Var. 28, Paper No. 50, 39 p. (2022; Zbl 1496.80003) Full Text: DOI arXiv
Bucur, Dorin; Nahon, Mickaël; Nitsch, Carlo; Trombetti, Cristina Shape optimization of a thermal insulation problem. (English) Zbl 1496.35383 Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 186, 29 p. (2022). MSC: 35Q79 49Q10 35K05 35B65 35A01 35A02 80A19 80A21 80M50 PDFBibTeX XMLCite \textit{D. Bucur} et al., Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 186, 29 p. (2022; Zbl 1496.35383) Full Text: DOI arXiv
Benner, Peter; Stillfjord, Tony; Trautwein, Christoph A linear implicit Euler method for the finite element discretization of a controlled stochastic heat equation. (English) Zbl 1503.65219 IMA J. Numer. Anal. 42, No. 3, 2118-2150 (2022). Reviewer: Sebastian Franz (Dresden) MSC: 65M60 65M06 65N30 65M12 35K05 80A19 60H50 49M41 35Q79 35R60 PDFBibTeX XMLCite \textit{P. Benner} et al., IMA J. Numer. Anal. 42, No. 3, 2118--2150 (2022; Zbl 1503.65219) Full Text: DOI arXiv
Andrej, Julian; Grüne, Lars; Mechelli, Luca; Meurer, Thomas; Pirkelmann, Simon; Volkwein, Stefan Parallelized POD-based suboptimal economic model predictive control of a state-constrained Boussinesq approximation. (English) Zbl 1524.65506 Comput. Math. Appl. 116, 71-81 (2022). MSC: 65M60 65N30 35J20 76D05 49K20 65M06 76M10 76M20 65M15 65M12 93B25 65Y05 80A19 49M41 PDFBibTeX XMLCite \textit{J. Andrej} et al., Comput. Math. Appl. 116, 71--81 (2022; Zbl 1524.65506) Full Text: DOI arXiv
Evtushenko, Yury; Zubov, Vladimir; Albu, Alla Inverse coefficient problems and fast automatic differentiation. (English) Zbl 1490.80002 J. Inverse Ill-Posed Probl. 30, No. 3, 447-460 (2022). MSC: 80A23 80A19 35K05 80M50 65M32 49J20 49S05 35R30 PDFBibTeX XMLCite \textit{Y. Evtushenko} et al., J. Inverse Ill-Posed Probl. 30, No. 3, 447--460 (2022; Zbl 1490.80002) Full Text: DOI
Xiong, Zonghong; Wei, Wei; Zhou, Ying; Wang, Yue; Liao, Yumei Optimal control for a phase field model of melting arising from inductive heating. (English) Zbl 1485.49012 AIMS Math. 7, No. 1, 121-142 (2022). MSC: 49J20 49K20 78M50 80A19 35Q93 35K55 35Q60 PDFBibTeX XMLCite \textit{Z. Xiong} et al., AIMS Math. 7, No. 1, 121--142 (2022; Zbl 1485.49012) Full Text: DOI
Chicone, Carmen; Lombardo, Stephen J.; Retzloff, David G. Modeling, approximation, and time optimal temperature control for binder removal from ceramics. (English) Zbl 1483.35161 Discrete Contin. Dyn. Syst., Ser. B 27, No. 1, 103-140 (2022). MSC: 35Q35 35Q93 93C95 93C20 49M41 35B25 76V05 76S05 80A19 34E15 92-08 PDFBibTeX XMLCite \textit{C. Chicone} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 1, 103--140 (2022; Zbl 1483.35161) Full Text: DOI
Lurie, S. A.; Belov, P. A. Variational formulation of coupled hydrodynamic problems. (English. Russian original) Zbl 1503.76074 J. Appl. Mech. Tech. Phys. 62, No. 5, 828-841 (2021); translation from Prikl. Mekh. Tekh. Fiz. 62, No. 5, 145-160 (2021). MSC: 76M30 76D05 76S05 80A17 49S05 PDFBibTeX XMLCite \textit{S. A. Lurie} and \textit{P. A. Belov}, J. Appl. Mech. Tech. Phys. 62, No. 5, 828--841 (2021; Zbl 1503.76074); translation from Prikl. Mekh. Tekh. Fiz. 62, No. 5, 145--160 (2021) Full Text: DOI
Blauth, Sebastian; Leithäuser, Christian; Pinnau, René Optimal control of the Sabatier process in microchannel reactors. (English) Zbl 1476.80013 J. Eng. Math. 128, Paper No. 19, 28 p. (2021). MSC: 80A32 49M05 35Q35 65K10 PDFBibTeX XMLCite \textit{S. Blauth} et al., J. Eng. Math. 128, Paper No. 19, 28 p. (2021; Zbl 1476.80013) Full Text: DOI arXiv
Della Pietra, Francesco; Nitsch, Carlo; Scala, Riccardo; Trombetti, Cristina An optimization problem in thermal insulation with Robin boundary conditions. (English) Zbl 1477.49021 Commun. Partial Differ. Equations 46, No. 12, 2288-2304 (2021). MSC: 49J45 35J25 35B06 80A05 PDFBibTeX XMLCite \textit{F. Della Pietra} et al., Commun. Partial Differ. Equations 46, No. 12, 2288--2304 (2021; Zbl 1477.49021) Full Text: DOI arXiv
Mastrippolito, Franck; Aubert, Stéphane; Ducros, Frédéric Kriging metamodels-based multi-objective shape optimization applied to a multi-scale heat exchanger. (English) Zbl 1521.49030 Comput. Fluids 221, Article ID 104899, 22 p. (2021). MSC: 49Q10 80A19 90C29 PDFBibTeX XMLCite \textit{F. Mastrippolito} et al., Comput. Fluids 221, Article ID 104899, 22 p. (2021; Zbl 1521.49030) Full Text: DOI
Ullah, Baseer; Siraj-ul-Islam; Ullah, Zahur; Khan, Wajid A parametrized level set based topology optimization method for analysing thermal problems. (English) Zbl 1524.74388 Comput. Math. Appl. 99, 99-112 (2021). MSC: 74P15 49Q10 80A19 65K10 74F05 PDFBibTeX XMLCite \textit{B. Ullah} et al., Comput. Math. Appl. 99, 99--112 (2021; Zbl 1524.74388) Full Text: DOI
Chorfi, Nejmeddine; Ghezaiel, Emna; Hassine, Maatoug Topological asymptotic analysis for tumor identification problem. (English) Zbl 1487.35375 Asymptotic Anal. 123, No. 3-4, 317-333 (2021). MSC: 35Q92 35Q79 92C37 80A19 35B40 49K10 93B24 35R30 35R25 PDFBibTeX XMLCite \textit{N. Chorfi} et al., Asymptotic Anal. 123, No. 3--4, 317--333 (2021; Zbl 1487.35375) Full Text: DOI
Nilavarasi, K.; Ponmurugan, M. Optimized efficiency at maximum \(\dot{\Omega}\) figure of merit and efficient power of power law dissipative Carnot-like heat engines. (English) Zbl 1486.80001 J. Stat. Mech. Theory Exp. 2021, No. 4, Article ID 043208, 12 p. (2021). MSC: 80A19 80A10 82C35 49K21 PDFBibTeX XMLCite \textit{K. Nilavarasi} and \textit{M. Ponmurugan}, J. Stat. Mech. Theory Exp. 2021, No. 4, Article ID 043208, 12 p. (2021; Zbl 1486.80001) Full Text: DOI arXiv
Kovtanyuk, Andrey; Chebotarev, Alexander; Astrakhantseva, Alena Inverse extremum problem for a model of endovenous laser ablation. (English) Zbl 1473.35564 J. Inverse Ill-Posed Probl. 29, No. 3, 467-476 (2021). MSC: 35Q79 49J20 49M41 80A21 80A19 80M50 35K05 35R30 92C99 65M32 65M60 65K10 PDFBibTeX XMLCite \textit{A. Kovtanyuk} et al., J. Inverse Ill-Posed Probl. 29, No. 3, 467--476 (2021; Zbl 1473.35564) Full Text: DOI
Ghazi, Hala; James, François; Mathis, Hélène A nonisothermal thermodynamical model of liquid-vapor interaction with metastability. (English) Zbl 1466.80003 Discrete Contin. Dyn. Syst., Ser. B 26, No. 5, 2371-2409 (2021). MSC: 80A22 37N10 76T10 76N99 35L40 80M50 49M41 65L06 82C26 35Q31 35Q82 PDFBibTeX XMLCite \textit{H. Ghazi} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 5, 2371--2409 (2021; Zbl 1466.80003) Full Text: DOI arXiv
Ioan, Daniel; Ciuprina, Gabriela; Schilders, Wilhelmus H. A. Complexity reduction of electromagnetic systems. (English) Zbl 1471.35282 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 145-199 (2021). MSC: 35Q93 35-02 93A15 93C05 49M41 49M37 80A25 76V05 35B30 37M99 41A05 65K10 65F20 PDFBibTeX XMLCite \textit{D. Ioan} et al., in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 145--199 (2021; Zbl 1471.35282) Full Text: DOI
Eason, John P.; Biegler, Lorenz T. Model reduction in chemical process optimization. (English) Zbl 1471.35281 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 1-31 (2021). MSC: 35Q93 35-02 93A15 93C05 49M41 49M37 80A25 76V05 35B30 37M99 41A05 65K10 65M99 65F20 PDFBibTeX XMLCite \textit{J. P. Eason} and \textit{L. T. Biegler}, in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 1--31 (2021; Zbl 1471.35281) Full Text: DOI
Omella, Ángel Javier; Celorrio, Ricardo; Pardo, David Sensitivity and uncertainty analysis by discontinuous Galerkin of lock-in thermography for crack characterization. (English) Zbl 1506.80004 Comput. Methods Appl. Mech. Eng. 373, Article ID 113523, 14 p. (2021). MSC: 80M10 49Q12 80A23 PDFBibTeX XMLCite \textit{Á. J. Omella} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113523, 14 p. (2021; Zbl 1506.80004) Full Text: DOI Link
Lujano, John; Tausch, Johannes A shape optimization method for moving interface problems governed by the heat equation. (English) Zbl 1473.80015 J. Comput. Appl. Math. 390, Article ID 113266, 14 p. (2021). MSC: 80M50 80A22 49Q10 49M41 65D32 35K05 35Q79 65K10 65M38 35R25 PDFBibTeX XMLCite \textit{J. Lujano} and \textit{J. Tausch}, J. Comput. Appl. Math. 390, Article ID 113266, 14 p. (2021; Zbl 1473.80015) Full Text: DOI
Wang, Yuchan; Wu, Bin; Chen, Qun Numerical reconstruction of a non-smooth heat flux in the inverse radial heat conduction problem. (English) Zbl 1448.65141 Appl. Math. Lett. 111, Article ID 106658, 8 p. (2021). MSC: 65M32 65M06 80A23 80M50 65K10 65M12 65M15 65J20 35K05 49J20 49N45 PDFBibTeX XMLCite \textit{Y. Wang} et al., Appl. Math. Lett. 111, Article ID 106658, 8 p. (2021; Zbl 1448.65141) Full Text: DOI
Nevliudov, I. Sh.; Romashov, Yu. V. One numerical approach to optimal control the linear heat conduction processes. (English) Zbl 1488.49055 Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 92, 25-43 (2020). MSC: 49M25 80A19 PDFBibTeX XMLCite \textit{I. Sh. Nevliudov} and \textit{Yu. V. Romashov}, Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 92, 25--43 (2020; Zbl 1488.49055) Full Text: DOI
Wolfmayr, Monika Optimal heating of an indoor swimming pool. (English) Zbl 1473.80008 Lindner, Ewald (ed.) et al., Mathematical modelling in real life problems. Case studies from ECMI-modelling weeks. Cham: Springer. Math. Ind. 33, 87-101 (2020). MSC: 80A19 80A21 80M50 80M10 80M20 49M41 65M60 65M06 65N30 35R09 35Q79 PDFBibTeX XMLCite \textit{M. Wolfmayr}, Math. Ind. 33, 87--101 (2020; Zbl 1473.80008) Full Text: DOI arXiv
Maas, Jan; Mielke, Alexander Modeling of chemical reaction systems with detailed balance using gradient structures. (English) Zbl 1462.80011 J. Stat. Phys. 181, No. 6, 2257-2303 (2020). MSC: 80A32 49J45 60J27 82C31 PDFBibTeX XMLCite \textit{J. Maas} and \textit{A. Mielke}, J. Stat. Phys. 181, No. 6, 2257--2303 (2020; Zbl 1462.80011) Full Text: DOI arXiv
Ahmedou, Bamba Salem; Ellabib, Abdellatif; El Madkouri, Abdessamad Numerical study of optimal control domain decomposition for nonlinear boundary heat in the human eye. (English) Zbl 1474.65461 J. Math. Model. 8, No. 3, 219-240 (2020). MSC: 65N38 65N55 92C50 92C35 80A19 80A21 35Q79 35Q92 49M41 92-08 PDFBibTeX XMLCite \textit{B. S. Ahmedou} et al., J. Math. Model. 8, No. 3, 219--240 (2020; Zbl 1474.65461) Full Text: DOI
Zhao, Qinghai; Fan, Chia-Ming; Wang, Fajie; Qu, Wenzhen Topology optimization of steady-state heat conduction structures using meshless generalized finite difference method. (English) Zbl 1464.74366 Eng. Anal. Bound. Elem. 119, 13-24 (2020). MSC: 74S20 65N06 49Q12 74P15 80A19 PDFBibTeX XMLCite \textit{Q. Zhao} et al., Eng. Anal. Bound. Elem. 119, 13--24 (2020; Zbl 1464.74366) Full Text: DOI
Albu, A. F.; Evtushenko, Yu. G.; Zubov, V. I. Application of the fast automatic differentiation technique for solving inverse coefficient problems. (English. Russian original) Zbl 1455.80007 Comput. Math. Math. Phys. 60, No. 1, 15-25 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 1, 18-28 (2020). Reviewer: Aleksey Syromyasov (Saransk) MSC: 80A23 80A19 80M50 35K05 49S05 49K20 65M32 PDFBibTeX XMLCite \textit{A. F. Albu} et al., Comput. Math. Math. Phys. 60, No. 1, 15--25 (2020; Zbl 1455.80007); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 1, 18--28 (2020) Full Text: DOI
Martins-Costa, Maria Laura; Vendas Sarmento, Vinícius; Moraes de Lira, Allan; Saldanha da Gama, Rogério M. Temperature distribution in porous fins, subjected to convection and radiation, obtained from the minimization of a convex functional. (English) Zbl 1459.80004 Math. Probl. Eng. 2020, Article ID 8613717, 10 p. (2020). MSC: 80A19 49J10 49K10 PDFBibTeX XMLCite \textit{M. L. Martins-Costa} et al., Math. Probl. Eng. 2020, Article ID 8613717, 10 p. (2020; Zbl 1459.80004) Full Text: DOI
Agoshkov, Valery I.; Lezina, Natalia R.; Parmuzin, Eugene I.; Sheloput, Tatiana O.; Shutyaev, Victor P.; Zakharova, Natalia B. Methods of variational data assimilation with application to problems of hydrothermodynamics of marine water areas. (English) Zbl 1447.49063 Russ. J. Numer. Anal. Math. Model. 35, No. 4, 189-202 (2020). MSC: 49S05 65K10 80M30 80A23 49M27 PDFBibTeX XMLCite \textit{V. I. Agoshkov} et al., Russ. J. Numer. Anal. Math. Model. 35, No. 4, 189--202 (2020; Zbl 1447.49063) Full Text: DOI
Yan, Wenjing; Jing, Feifei; Hou, Jiangyong; Gao, Zhiming; Zheng, Nannan An iterative method for shape optimal design of Stokes-Brinkman equations with heat transfer model. (English) Zbl 1459.76049 Math. Probl. Eng. 2020, Article ID 9405018, 11 p. (2020). MSC: 76D55 49Q10 76D07 74P20 80A19 PDFBibTeX XMLCite \textit{W. Yan} et al., Math. Probl. Eng. 2020, Article ID 9405018, 11 p. (2020; Zbl 1459.76049) Full Text: DOI
Jehle, Jonas Siegfried; Mechelli, Luca; Volkwein, Stefan POD-based augmented Lagrangian method for state constrained heat-convection phenomena. (English) Zbl 1427.80005 Fehr, Jörg (ed.) et al., IUTAM symposium on model order reduction of coupled systems. MORCOS 2018. Proceedings of the IUTAM symposium, Stuttgart, Germany, May 22–25, 2018. Cham: Springer. IUTAM Bookser. 36, 127-139 (2020). MSC: 80A20 49J20 80M20 80M10 65M06 65N30 PDFBibTeX XMLCite \textit{J. S. Jehle} et al., IUTAM Bookser. 36, 127--139 (2020; Zbl 1427.80005) Full Text: DOI Link
Sidi Ammi, Moulay Rchid; Torres, Delfim F. M. Optimal control of a nonlocal thermistor problem with ABC fractional time derivatives. (English) Zbl 1442.49027 Comput. Math. Appl. 78, No. 5, 1507-1516 (2019). MSC: 49K21 49J21 35R11 80A05 PDFBibTeX XMLCite \textit{M. R. Sidi Ammi} and \textit{D. F. M. Torres}, Comput. Math. Appl. 78, No. 5, 1507--1516 (2019; Zbl 1442.49027) Full Text: DOI arXiv
Chekurin, V. F.; Postolaki, L. I. Application of the variational method of homogeneous solutions for the optimal control of the axisymmetric thermoelastic state of a cylinder. (English. Russian original) Zbl 1435.80002 J. Math. Sci., New York 243, No. 1, 128-144 (2019); translation from Mat. Metody Fiz.-Mekh. Polya 60, No. 2, 105-116 (2017). MSC: 80A19 74F05 74B10 49N90 80M50 PDFBibTeX XMLCite \textit{V. F. Chekurin} and \textit{L. I. Postolaki}, J. Math. Sci., New York 243, No. 1, 128--144 (2019; Zbl 1435.80002); translation from Mat. Metody Fiz.-Mekh. Polya 60, No. 2, 105--116 (2017) Full Text: DOI
Chen, Yongxin; Conforti, Giovanni; Georgiou, Tryphon T.; Ripani, Luigia Multi-marginal Schrödinger bridges. (English) Zbl 1458.49037 Nielsen, Frank (ed.) et al., Geometric science of information. 4th international conference, GSI 2019, Toulouse, France, August 27–29, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11712, 725-732 (2019). MSC: 49Q22 80A19 PDFBibTeX XMLCite \textit{Y. Chen} et al., Lect. Notes Comput. Sci. 11712, 725--732 (2019; Zbl 1458.49037) Full Text: DOI arXiv
Osmolovskii, V. G. A criterion for the coincidence of the phase transition temperatures in the variational problem on the equilibrium of a two-phase elastic medium. (English. Russian original) Zbl 1427.74045 J. Math. Sci., New York 242, No. 2, 299-307 (2019); translation from Probl. Mat. Anal. 99, 105-112 (2019). MSC: 74F05 74G65 80A20 74P10 49J45 PDFBibTeX XMLCite \textit{V. G. Osmolovskii}, J. Math. Sci., New York 242, No. 2, 299--307 (2019; Zbl 1427.74045); translation from Probl. Mat. Anal. 99, 105--112 (2019) Full Text: DOI
Albu, Alla; Zubov, Vladimir Identification of the thermal conductivity coefficient in two dimension case. (English) Zbl 1431.49039 Optim. Lett. 13, No. 8, 1727-1743 (2019). MSC: 49N45 80A23 PDFBibTeX XMLCite \textit{A. Albu} and \textit{V. Zubov}, Optim. Lett. 13, No. 8, 1727--1743 (2019; Zbl 1431.49039) Full Text: DOI
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a ‘deep quench’ approach. (English) Zbl 1418.49003 J. Convex Anal. 26, No. 2, 485-514 (2019). MSC: 49J20 49K20 74M15 35K86 76R05 82C26 80A22 PDFBibTeX XMLCite \textit{P. Colli} et al., J. Convex Anal. 26, No. 2, 485--514 (2019; Zbl 1418.49003) Full Text: arXiv Link
Pena, M.; Rapún, M.-L. Detecting damage in thin plates by processing infrared thermographic data with topological derivatives. (English) Zbl 1419.80018 Adv. Math. Phys. 2019, Article ID 5494795, 18 p. (2019). MSC: 80A23 80A20 80M10 78A40 93E24 80M50 49K20 65N21 PDFBibTeX XMLCite \textit{M. Pena} and \textit{M. L. Rapún}, Adv. Math. Phys. 2019, Article ID 5494795, 18 p. (2019; Zbl 1419.80018) Full Text: DOI
Burazin, Krešimir; Vrdoljak, Marko Exact solutions in optimal design problems for stationary diffusion equation. (English) Zbl 1426.80019 Acta Appl. Math. 161, 71-88 (2019). Reviewer: Aleksey Syromyasov (Saransk) MSC: 80M50 49J20 49K20 80A20 35J47 35Q79 PDFBibTeX XMLCite \textit{K. Burazin} and \textit{M. Vrdoljak}, Acta Appl. Math. 161, 71--88 (2019; Zbl 1426.80019) Full Text: DOI
Tanana, Vitaliĭ Pavlovich; Ershova, Anna Aleksandrovna On the solution of an inverse boundary value problem for composite materials. (Russian. English summary) Zbl 1442.65468 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 28, No. 4, 474-488 (2018). MSC: 65R32 31A25 49N45 80A19 80M15 PDFBibTeX XMLCite \textit{V. P. Tanana} and \textit{A. A. Ershova}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 28, No. 4, 474--488 (2018; Zbl 1442.65468) Full Text: DOI MNR
Evcin, Cansu; Uğur, Ömür; Tezer-Sezgin, Münevver Determining the optimal parameters for the MHD flow and heat transfer with variable viscosity and Hall effect. (English) Zbl 1448.76188 Comput. Math. Appl. 76, No. 6, 1338-1355 (2018). MSC: 76W05 49N90 80A19 PDFBibTeX XMLCite \textit{C. Evcin} et al., Comput. Math. Appl. 76, No. 6, 1338--1355 (2018; Zbl 1448.76188) Full Text: DOI
Alvarez-Vázquez, Lino J.; Fernández, Francisco J.; Martínez, Aurea; Vázquez-Méndez, Miguel E. Urban heat island effect in metropolitan areas: an optimal control perspective. (English) Zbl 1425.90144 Radu, Florin Adrian (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2017. Selected papers based on the presentations at the European conference, Bergen, Norway, September 25–29, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 126, 829-837 (2018). MSC: 90C90 80M50 49M37 90C11 65K10 91B76 80A20 65M25 65N30 93C20 76D05 PDFBibTeX XMLCite \textit{L. J. Alvarez-Vázquez} et al., Lect. Notes Comput. Sci. Eng. 126, 829--837 (2018; Zbl 1425.90144) Full Text: DOI
Tokoutsi, Zoi; Grepl, Martin; Veroy, Karen; Baragona, Marco; Maessen, Ralph Real-time optimization of thermal ablation cancer treatments. (English) Zbl 1427.65264 Radu, Florin Adrian (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2017. Selected papers based on the presentations at the European conference, Bergen, Norway, September 25–29, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 126, 673-681 (2018). MSC: 65M60 35Q92 35Q93 93C20 92C50 49K20 80A20 PDFBibTeX XMLCite \textit{Z. Tokoutsi} et al., Lect. Notes Comput. Sci. Eng. 126, 673--681 (2018; Zbl 1427.65264) Full Text: DOI
Mechelli, Luca; Volkwein, Stefan POD-based economic model predictive control for heat-convection phenomena. (English) Zbl 1425.93133 Radu, Florin Adrian (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2017. Selected papers based on the presentations at the European conference, Bergen, Norway, September 25–29, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 126, 663-671 (2018). MSC: 93C20 80A20 65M60 65M15 49K20 80M10 35Q79 PDFBibTeX XMLCite \textit{L. Mechelli} and \textit{S. Volkwein}, Lect. Notes Comput. Sci. Eng. 126, 663--671 (2018; Zbl 1425.93133) Full Text: DOI Link
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta Distributed optimal control problems for phase field systems with singular potential. (English) Zbl 1438.49006 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 26, No. 2, 71-85 (2018). MSC: 49J20 35K55 80A22 PDFBibTeX XMLCite \textit{P. Colli} et al., An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 26, No. 2, 71--85 (2018; Zbl 1438.49006) Full Text: DOI
Beermann, Dennis; Dellnitz, Michael; Peitz, Sebastian; Volkwein, Stefan Set-oriented multiobjective optimal control of PDEs using proper orthogonal decomposition. (English) Zbl 1418.65165 Keiper, Winfried (ed.) et al., Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 47-72 (2018). MSC: 65N30 65M06 65N15 65K10 49K20 90C29 35K58 80A20 PDFBibTeX XMLCite \textit{D. Beermann} et al., in: Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 47--72 (2018; Zbl 1418.65165) Full Text: DOI
Brizitskii, R. V.; Saritskaya, Zh. Yu. Boundary control problem for a nonlinear convection-diffusion-reaction equation. (English. Russian original) Zbl 1433.35436 Comput. Math. Math. Phys. 58, No. 12, 2053-2063 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 12, 2139-2152 (2018). Reviewer: Nicolae Cîndea (Aubière) MSC: 35Q93 35D30 93C20 35R30 49K20 80A19 PDFBibTeX XMLCite \textit{R. V. Brizitskii} and \textit{Zh. Yu. Saritskaya}, Comput. Math. Math. Phys. 58, No. 12, 2053--2063 (2018; Zbl 1433.35436); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 12, 2139--2152 (2018) Full Text: DOI
Albu, A. F.; Zubov, V. I. Identification of the thermal conductivity coefficient using a given surface heat flux. (English. Russian original) Zbl 1421.80008 Comput. Math. Math. Phys. 58, No. 12, 2031-2042 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 12, 2112-2126 (2018). Reviewer: Alain Brillard (Riedisheim) MSC: 80A23 80A20 80M50 35R30 65M32 49J20 68W30 PDFBibTeX XMLCite \textit{A. F. Albu} and \textit{V. I. Zubov}, Comput. Math. Math. Phys. 58, No. 12, 2031--2042 (2018; Zbl 1421.80008); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 12, 2112--2126 (2018) Full Text: DOI
Cao, Kai; Lesnic, Daniel Determination of space-dependent coefficients from temperature measurements using the conjugate gradient method. (English) Zbl 1407.80012 Numer. Methods Partial Differ. Equations 34, No. 4, 1370-1400 (2018). MSC: 80M25 65M32 35Q79 80A23 90C31 93B30 65M06 35Q74 92C35 49K20 49N60 65K10 90C30 PDFBibTeX XMLCite \textit{K. Cao} and \textit{D. Lesnic}, Numer. Methods Partial Differ. Equations 34, No. 4, 1370--1400 (2018; Zbl 1407.80012) Full Text: DOI
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta Optimal control for a conserved phase field system with a possibly singular potential. (English) Zbl 1405.49003 Evol. Equ. Control Theory 7, No. 1, 95-116 (2018). MSC: 49J20 49K20 35K52 35K55 80A22 PDFBibTeX XMLCite \textit{P. Colli} et al., Evol. Equ. Control Theory 7, No. 1, 95--116 (2018; Zbl 1405.49003) Full Text: DOI
Albu, A. F.; Zubov, V. I. Identification of thermal conductivity coefficient using a given temperature field. (English. Russian original) Zbl 1412.80002 Comput. Math. Math. Phys. 58, No. 10, 1585-1599 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 10 (2018). Reviewer: Aleksey Syromyasov (Saransk) MSC: 80A20 80A23 35K05 35R30 65M32 49J20 65D25 80M20 PDFBibTeX XMLCite \textit{A. F. Albu} and \textit{V. I. Zubov}, Comput. Math. Math. Phys. 58, No. 10, 1585--1599 (2018; Zbl 1412.80002); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 10 (2018) Full Text: DOI
Burazin, Krešimir On unique solutions of multiple-state optimal design problems on an annulus. (English) Zbl 1400.80009 J. Optim. Theory Appl. 177, No. 2, 329-344 (2018). Reviewer: Balswaroop Bhatt (St. Augustine) MSC: 80A20 49J20 49K35 PDFBibTeX XMLCite \textit{K. Burazin}, J. Optim. Theory Appl. 177, No. 2, 329--344 (2018; Zbl 1400.80009) Full Text: DOI
Disser, Karoline; Liero, Matthias; Zinsl, Jonathan Evolutionary \(\Gamma\)-convergence of gradient systems modeling slow and fast chemical reactions. (English) Zbl 1398.34085 Nonlinearity 31, No. 8, 3689-3706 (2018). Reviewer: Robert Vrabel (Trnava) MSC: 34E15 49J40 49J45 80A30 92E20 PDFBibTeX XMLCite \textit{K. Disser} et al., Nonlinearity 31, No. 8, 3689--3706 (2018; Zbl 1398.34085) Full Text: DOI
Bil’chenko, Natal’ya Grigorievna On the conservation laws in the optimal control problem for laminar boundary layer of non-equilibrium dissociating gas. (Russian. English summary) Zbl 1394.35348 Differ. Uravn. Protsessy Upr. 2018, No. 1, 92-108 (2018). MSC: 35Q35 76K05 80A20 49J20 35R03 PDFBibTeX XMLCite \textit{N. G. Bil'chenko}, Differ. Uravn. Protsessy Upr. 2018, No. 1, 92--108 (2018; Zbl 1394.35348) Full Text: Link
Bil’chenko, Natal’ya Grigorievna On the conservation laws in the optimal control problem for laminar boundary layer of electroconductive gas. (Russian. English summary) Zbl 1394.35347 Differ. Uravn. Protsessy Upr. 2018, No. 1, 77-91 (2018). MSC: 35Q35 76K05 80A20 49J20 35R03 PDFBibTeX XMLCite \textit{N. G. Bil'chenko}, Differ. Uravn. Protsessy Upr. 2018, No. 1, 77--91 (2018; Zbl 1394.35347) Full Text: Link
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen Optimal velocity control of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions. (English) Zbl 1391.49039 SIAM J. Control Optim. 56, No. 3, 1665-1691 (2018). MSC: 49K20 35K61 35K25 76R05 82C26 80A22 PDFBibTeX XMLCite \textit{P. Colli} et al., SIAM J. Control Optim. 56, No. 3, 1665--1691 (2018; Zbl 1391.49039) Full Text: DOI arXiv
Roubíček, Tomáš Variational methods for steady-state Darcy/Fick flow in swollen and poroelastic solids. (English) Zbl 07775392 ZAMM, Z. Angew. Math. Mech. 97, No. 8, 990-1002 (2017). MSC: 35Q74 49S05 74F10 74F15 76S05 78M30 80A17 PDFBibTeX XMLCite \textit{T. Roubíček}, ZAMM, Z. Angew. Math. Mech. 97, No. 8, 990--1002 (2017; Zbl 07775392) Full Text: DOI arXiv
Meilūnas, Mečislavas; Ilgevičius, Audrius; Suboč, Olga; Jankevičiūtė, Gerda; Čiegis, Raimondas On economic-technological optimization of high-voltage electric cables. (English) Zbl 1422.91567 Nonlinear Anal., Model. Control 22, No. 1, 134-146 (2017). MSC: 91B74 80A22 65M08 49N90 PDFBibTeX XMLCite \textit{M. Meilūnas} et al., Nonlinear Anal., Model. Control 22, No. 1, 134--146 (2017; Zbl 1422.91567) Full Text: DOI
Egorov, A. I.; Znamenskaya, L. N. Control of a heat conduction process with a quadratic cost functional. (English. Russian original) Zbl 1390.35384 Comput. Math. Math. Phys. 57, No. 12, 2005-2016 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 12, 2053-2064 (2017). MSC: 35Q93 35K10 93C20 80A20 49K20 35A15 PDFBibTeX XMLCite \textit{A. I. Egorov} and \textit{L. N. Znamenskaya}, Comput. Math. Math. Phys. 57, No. 12, 2005--2016 (2017; Zbl 1390.35384); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 12, 2053--2064 (2017) Full Text: DOI
Klimeš, Lubomír; Popela, Pavel; Mauder, Tomáš; Štětina, Josef; Charvát, Pavel Two-stage stochastic programming approach to a PDE-constrained steel production problem with the moving interface. (English) Zbl 1449.90266 Kybernetika 53, No. 6, 1047-1070 (2017). MSC: 90C15 90C06 80A22 49M27 93C20 PDFBibTeX XMLCite \textit{L. Klimeš} et al., Kybernetika 53, No. 6, 1047--1070 (2017; Zbl 1449.90266) Full Text: DOI Link
Meinlschmidt, Hannes Analysis and optimal control of quasilinear parabolic evolution equations in divergence form on rough domains. (English) Zbl 1397.35327 Göttingen: Sierke; Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.) (ISBN 978-3-86844-932-7/pbk). xvi, 274 p. (2017). Reviewer: Piotr Biler (Wrocław) MSC: 35Q93 35K59 49J20 80A20 93C30 PDFBibTeX XMLCite \textit{H. Meinlschmidt}, Analysis and optimal control of quasilinear parabolic evolution equations in divergence form on rough domains. Göttingen: Sierke; Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.) (2017; Zbl 1397.35327)
Akhouayri, Hassan; Bergounioux, Maïtine; Da Silva, Anabela; Elbau, Peter; Litman, Amelie; Mindrinos, Leonidas Quantitative thermoacoustic tomography with microwaves sources. (English) Zbl 1386.35279 J. Inverse Ill-Posed Probl. 25, No. 6, 703-717 (2017). MSC: 35M33 35Q61 49N45 80A23 93C20 PDFBibTeX XMLCite \textit{H. Akhouayri} et al., J. Inverse Ill-Posed Probl. 25, No. 6, 703--717 (2017; Zbl 1386.35279) Full Text: DOI HAL
Wang, Yuchan; Liu, Jijun Identification of non-smooth boundary heat dissipation by partial boundary data. (English) Zbl 1379.80007 Appl. Math. Lett. 69, 42-48 (2017). Reviewer: Aleksey Syromyasov (Saransk) MSC: 80A23 35Q79 35K05 35K20 35R05 35A02 65K10 49M37 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{J. Liu}, Appl. Math. Lett. 69, 42--48 (2017; Zbl 1379.80007) Full Text: DOI
Paladim, D. A.; Moitinho de Almeida, J. P.; Bordas, S. P. A.; Kerfriden, Pierre Guaranteed error bounds in homogenisation: an optimum stochastic approach to preserve the numerical separation of scales. (English) Zbl 1365.80011 Int. J. Numer. Methods Eng. 110, No. 2, 103-132 (2017). MSC: 80M40 65N15 49K45 49Q15 80A20 PDFBibTeX XMLCite \textit{D. A. Paladim} et al., Int. J. Numer. Methods Eng. 110, No. 2, 103--132 (2017; Zbl 1365.80011) Full Text: DOI Link
Machado, Thiago J.; Angelo, Jaqueline S.; Novotny, Antonio A. A new one-shot pointwise source reconstruction method. (English) Zbl 1366.35242 Math. Methods Appl. Sci. 40, No. 5, 1367-1381 (2017). MSC: 35R30 35C20 49Q12 80A20 76R05 35J05 PDFBibTeX XMLCite \textit{T. J. Machado} et al., Math. Methods Appl. Sci. 40, No. 5, 1367--1381 (2017; Zbl 1366.35242) Full Text: DOI
Yang, Haijian; Cai, Xiao-Chuan Two-level space-time domain decomposition methods for flow control problems. (English) Zbl 1404.65157 J. Sci. Comput. 70, No. 2, 717-743 (2017). MSC: 65M55 65Y05 76D05 65M06 35Q30 49K20 49M15 80A20 35Q79 93C20 65F08 65F10 PDFBibTeX XMLCite \textit{H. Yang} and \textit{X.-C. Cai}, J. Sci. Comput. 70, No. 2, 717--743 (2017; Zbl 1404.65157) Full Text: DOI
Fernández, F. J.; Alvarez-Vázquez, L. J.; Martínez, A.; Vázquez-Méndez, M. E. A 3D optimal control problem related to the urban heat islands. (English) Zbl 1352.80003 J. Math. Anal. Appl. 446, No. 2, 1571-1605 (2017). MSC: 80A20 93C23 49J20 86A10 PDFBibTeX XMLCite \textit{F. J. Fernández} et al., J. Math. Anal. Appl. 446, No. 2, 1571--1605 (2017; Zbl 1352.80003) Full Text: DOI
Koledin, S. N.; Koledina, K. F. Optimal control and optimum sensitivity in problems of chemical kinetics. (Russian. English summary) Zbl 1524.80023 Zh. Sredn. Mat. Obshch. 18, No. 3, 137-144 (2016). MSC: 80A30 80A32 34A30 49K40 PDFBibTeX XMLCite \textit{S. N. Koledin} and \textit{K. F. Koledina}, Zh. Sredn. Mat. Obshch. 18, No. 3, 137--144 (2016; Zbl 1524.80023) Full Text: MNR
Chebotarev, Alexander Yu.; Kovtanyuk, Andrey E.; Grenkin, Gleb V.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz Nondegeneracy of optimality conditions in control problems for a radiative-conductive heat transfer model. (English) Zbl 1410.49004 Appl. Math. Comput. 289, 371-380 (2016). MSC: 49J20 80A20 35Q79 PDFBibTeX XMLCite \textit{A. Yu. Chebotarev} et al., Appl. Math. Comput. 289, 371--380 (2016; Zbl 1410.49004) Full Text: DOI
Albu, Alla F.; Zubov, V. I. On the efficiency of solving optimal control problems by means of fast automatic differentiation technique. (English. Russian original) Zbl 1366.65064 Proc. Steklov Inst. Math. 295, Suppl. 1, S1-S10 (2016); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 4, 20-29 (2015). MSC: 65K10 49J20 49M25 80A22 PDFBibTeX XMLCite \textit{A. F. Albu} and \textit{V. I. Zubov}, Proc. Steklov Inst. Math. 295, S1--S10 (2016; Zbl 1366.65064); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 4, 20--29 (2015) Full Text: DOI
Yu, Hui An optimization problem in heat conduction with minimal temperature constraint, interior heating and exterior insulation. (English) Zbl 1366.35192 Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 130, 15 p. (2016). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q79 35B65 35J60 49J45 49N60 80A22 PDFBibTeX XMLCite \textit{H. Yu}, Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 130, 15 p. (2016; Zbl 1366.35192) Full Text: DOI arXiv
Benincasa, T.; Donado Escobar, L. D.; Moroşanu, C. Distributed and boundary optimal control of the Allen-Cahn equation with regular potential and dynamic boundary conditions. (English) Zbl 1354.65224 Int. J. Control 89, No. 8, 1523-1532 (2016). MSC: 65N12 35K55 49K20 90C46 80A22 PDFBibTeX XMLCite \textit{T. Benincasa} et al., Int. J. Control 89, No. 8, 1523--1532 (2016; Zbl 1354.65224) Full Text: DOI
Renes, Joseph M. Relative submajorization and its use in quantum resource theories. (English) Zbl 1355.81051 J. Math. Phys. 57, No. 12, 122202, 34 p. (2016). Reviewer: Andreas Wichert (Lisboa) MSC: 81P45 81P40 49S05 81R30 80A10 PDFBibTeX XMLCite \textit{J. M. Renes}, J. Math. Phys. 57, No. 12, 122202, 34 p. (2016; Zbl 1355.81051) Full Text: DOI arXiv
Bayón, L.; Otero, J. A.; Suárez, P. M.; Tasis, C. Solving linear unbranched pathways with Michaelis-Menten kinetics using the Lambert \(W\)-function. (English) Zbl 1359.92126 J. Math. Chem. 54, No. 7, 1351-1369 (2016). MSC: 92E20 80A30 49N90 PDFBibTeX XMLCite \textit{L. Bayón} et al., J. Math. Chem. 54, No. 7, 1351--1369 (2016; Zbl 1359.92126) Full Text: DOI
Kerimbekov, Akylbek; Nametkulova, Raĭkhan Zhanuzakovna; Kadirimbetova, Aĭsha Kazakhbaevna An approximate solution of distributed and boundary control problem for the thermal process. (Russian. English summary) Zbl 1348.80005 Izv. Irkutsk. Gos. Univ., Ser. Mat. 16, 71-88 (2016). MSC: 80A20 80M30 49K20 PDFBibTeX XMLCite \textit{A. Kerimbekov} et al., Izv. Irkutsk. Gos. Univ., Ser. Mat. 16, 71--88 (2016; Zbl 1348.80005) Full Text: Link
Albu, Alla F. Control of phase boundary evolution in metal solidification for new thermodynamic parameters of the metal. (English. Russian original) Zbl 1347.93042 Comput. Math. Math. Phys. 56, No. 5, 756-763 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 5, 768-776 (2016). MSC: 93A30 93C20 49M15 93B40 80A22 PDFBibTeX XMLCite \textit{A. F. Albu}, Comput. Math. Math. Phys. 56, No. 5, 756--763 (2016; Zbl 1347.93042); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 5, 768--776 (2016) Full Text: DOI
Kuang, Zhen-Bang Physical variational principle in dissipative media. (English) Zbl 1382.80002 Acta Mech. 227, No. 4, 1095-1110 (2016). MSC: 80A10 49S05 74B05 PDFBibTeX XMLCite \textit{Z.-B. Kuang}, Acta Mech. 227, No. 4, 1095--1110 (2016; Zbl 1382.80002) Full Text: DOI
Wang, Bingxian; Liu, Jijun Recovery of thermal conductivity in two-dimensional media with nonlinear source by optimizations. (English) Zbl 1381.80006 Appl. Math. Lett. 60, 73-80 (2016). MSC: 80A20 35K20 35R30 80A23 35K58 49J20 49N45 80M50 PDFBibTeX XMLCite \textit{B. Wang} and \textit{J. Liu}, Appl. Math. Lett. 60, 73--80 (2016; Zbl 1381.80006) Full Text: DOI
Nadin, Grégoire; Privat, Yannick An extremal eigenvalue problem arising in heat conduction. (English. French summary) Zbl 1339.49036 J. Math. Pures Appl. (9) 105, No. 6, 845-872 (2016). MSC: 49Q10 49R05 49J15 49K15 34B24 34E05 80A20 PDFBibTeX XMLCite \textit{G. Nadin} and \textit{Y. Privat}, J. Math. Pures Appl. (9) 105, No. 6, 845--872 (2016; Zbl 1339.49036) Full Text: DOI
Novotny, A. A.; Sales, V. Energy change to insertion of inclusions associated with a diffusive/convective steady-state heat conduction problem. (English) Zbl 1386.35148 Math. Methods Appl. Sci. 39, No. 5, 1233-1240 (2016). MSC: 35K20 35B25 35C20 49Q12 80A20 PDFBibTeX XMLCite \textit{A. A. Novotny} and \textit{V. Sales}, Math. Methods Appl. Sci. 39, No. 5, 1233--1240 (2016; Zbl 1386.35148) Full Text: DOI
Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz Optimal boundary control of a steady-state heat transfer model accounting for radiative effects. (English) Zbl 1337.80004 J. Math. Anal. Appl. 439, No. 2, 678-689 (2016). MSC: 80A20 93C20 49K20 35R09 80M50 90C52 PDFBibTeX XMLCite \textit{A. E. Kovtanyuk} et al., J. Math. Anal. Appl. 439, No. 2, 678--689 (2016; Zbl 1337.80004) Full Text: DOI