Berdichevsky, Victor L.; Islam, Md-Tofiqul The variational principle for probabilistic measure and Hashin-Shtrikman bounds. (English) Zbl 07816983 Int. J. Eng. Sci. 196, Article ID 104015, 46 p. (2024). MSC: 74-XX 81-XX PDFBibTeX XMLCite \textit{V. L. Berdichevsky} and \textit{M.-T. Islam}, Int. J. Eng. Sci. 196, Article ID 104015, 46 p. (2024; Zbl 07816983) Full Text: DOI
Gómez, Carlos A.; Gómez, Jhonny C.; Luca, Florian The complete solution of the Diophantine equation \(\left(F_{n+1}^{(k)}\right)^x - \left(F_{n-1}^{(k)}\right)^x = F_m^{(k)}\). (English) Zbl 07792693 Mediterr. J. Math. 21, No. 1, Paper No. 13, 25 p. (2024). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D61 11J86 PDFBibTeX XMLCite \textit{C. A. Gómez} et al., Mediterr. J. Math. 21, No. 1, Paper No. 13, 25 p. (2024; Zbl 07792693) Full Text: DOI OA License
Iglesias-Rodríguez, Ernesto; Bravo-Castillero, Julián; Cruz, Manuel E.; Guinovart-Díaz, Raúl Conductivity gain predictions for multiscale fibrous composites with interfacial thermal barrier resistance. (English) Zbl 07782378 Math. Methods Appl. Sci. 46, No. 6, 6613-6638 (2023). MSC: 35B27 34E13 74Q20 PDFBibTeX XMLCite \textit{E. Iglesias-Rodríguez} et al., Math. Methods Appl. Sci. 46, No. 6, 6613--6638 (2023; Zbl 07782378) Full Text: DOI OA License
Mityushev, Vladimir High-order contrast bounds for piezoelectric constants of two-phase fibrous composites. (English) Zbl 07777589 Multiscale Model. Simul. 21, No. 4, 1644-1666 (2023). MSC: 74Q20 PDFBibTeX XMLCite \textit{V. Mityushev}, Multiscale Model. Simul. 21, No. 4, 1644--1666 (2023; Zbl 07777589) Full Text: DOI
Bach, Volker; Rauch, Robert On relative bounds for interacting Fermion operators. (English) Zbl 07753235 Doc. Math. 28, No. 3, 683-707 (2023). MSC: 81Q05 81Q15 70H05 81V45 81V55 78A35 81V74 52B20 81T12 82C20 52A38 81-02 PDFBibTeX XMLCite \textit{V. Bach} and \textit{R. Rauch}, Doc. Math. 28, No. 3, 683--707 (2023; Zbl 07753235) Full Text: DOI arXiv
Gallican, Valentin; Idiart, Martín I. Improved estimates for the elastic properties of dilute composites with imperfect interfacial bondings of moderate anisotropy. (English) Zbl 1526.74057 Meccanica 58, No. 9, 1799-1808 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 74Q20 74E30 74B05 74E10 PDFBibTeX XMLCite \textit{V. Gallican} and \textit{M. I. Idiart}, Meccanica 58, No. 9, 1799--1808 (2023; Zbl 1526.74057) Full Text: DOI
Carini, Angelo; Genna, Francesco; Levi, Francesca Time domain analytical bounds to the homogenized viscous kernels of linear viscoelastic composites. (English) Zbl 07738796 Eur. J. Mech., A, Solids 102, Article ID 105108, 16 p. (2023). MSC: 74Q20 74E30 74D05 PDFBibTeX XMLCite \textit{A. Carini} et al., Eur. J. Mech., A, Solids 102, Article ID 105108, 16 p. (2023; Zbl 07738796) Full Text: DOI
Kaledin, Vl. O.; Kaledin, V. O.; Reshetnikova, E. V.; Paul’zen, A. E.; Ul’yanov, A. D. Simulation modeling of thermomechanical behavior of polymer binders in manufacturing composite hull structure elements. (English. Russian original) Zbl 1527.74012 J. Appl. Mech. Tech. Phys. 64, No. 1, 131-140 (2023); translation from Prikl. Mekh. Tekh. Fiz. 64, No. 1, 152-162 (2023). MSC: 74E30 74F05 74Q20 74S05 PDFBibTeX XMLCite \textit{Vl. O. Kaledin} et al., J. Appl. Mech. Tech. Phys. 64, No. 1, 131--140 (2023; Zbl 1527.74012); translation from Prikl. Mekh. Tekh. Fiz. 64, No. 1, 152--162 (2023) Full Text: DOI
Stefaniuk, Damian; Kachanov, Mark Voigt-reuss and Hashin-Shtrikman bounds revisited. (English) Zbl 07729803 Int. J. Eng. Sci. 191, Article ID 103903, 12 p. (2023). MSC: 68-XX 92-XX PDFBibTeX XMLCite \textit{D. Stefaniuk} and \textit{M. Kachanov}, Int. J. Eng. Sci. 191, Article ID 103903, 12 p. (2023; Zbl 07729803) Full Text: DOI
Conti, Sergio; Rumpf, Martin; Simon, Stefan Two-scale elastic shape optimization for additive manufacturing. (English) Zbl 1514.65167 Multiscale Model. Simul. 21, No. 1, 119-142 (2023). MSC: 65N30 65N55 74P05 74Q20 PDFBibTeX XMLCite \textit{S. Conti} et al., Multiscale Model. Simul. 21, No. 1, 119--142 (2023; Zbl 1514.65167) Full Text: DOI arXiv
Ponte Castañeda, Pedro Soft elastic composites: microstructure evolution, instabilities and relaxed response by domain formation. (English) Zbl 1520.74068 Eur. J. Mech., A, Solids 100, Article ID 105033, 27 p. (2023). Reviewer: Vladimir Mityushev (Kraków) MSC: 74Q05 74E30 74B20 74Q20 74M25 74G60 PDFBibTeX XMLCite \textit{P. Ponte Castañeda}, Eur. J. Mech., A, Solids 100, Article ID 105033, 27 p. (2023; Zbl 1520.74068) Full Text: DOI
Balestrieri, Francesca; Johnson, Alexis; Newton, Rachel Explicit uniform bounds for Brauer groups of singular \(K3\) surfaces. (Bornes uniformes explicites pour les groupes de Brauer des surfaces \(K3\) singulières.) (English. French summary) Zbl 1528.14025 Ann. Inst. Fourier 73, No. 2, 567-607 (2023). Reviewer: Dino Festi (Milano) MSC: 14F22 11G35 14J28 PDFBibTeX XMLCite \textit{F. Balestrieri} et al., Ann. Inst. Fourier 73, No. 2, 567--607 (2023; Zbl 1528.14025) Full Text: DOI arXiv
Wang, Xu; Schiavone, Peter Neutral coated spheres in nonlinear thermoelectricity. (English) Zbl 1519.74016 Acta Mech. 234, No. 4, 1465-1470 (2023). MSC: 74F15 74F05 74E05 74Q15 74Q20 PDFBibTeX XMLCite \textit{X. Wang} and \textit{P. Schiavone}, Acta Mech. 234, No. 4, 1465--1470 (2023; Zbl 1519.74016) Full Text: DOI
Campagna, Francesco Effective bounds on differences of singular moduli that are \(S\)-units. (English) Zbl 07653004 Math. Proc. Camb. Philos. Soc. 174, No. 2, 415-450 (2023). Reviewer: Cherng-tiao Perng (Norfolk) MSC: 11G05 14K22 11G15 11R52 11G50 PDFBibTeX XMLCite \textit{F. Campagna}, Math. Proc. Camb. Philos. Soc. 174, No. 2, 415--450 (2023; Zbl 07653004) Full Text: DOI arXiv
Chen, C. S.; Noorizadegan, Amir; Young, D. L.; Chen, Chuin-Shan On the determination of locating the source points of the MFS using effective condition number. (English) Zbl 1505.65307 J. Comput. Appl. Math. 423, Article ID 114955, 15 p. (2023). MSC: 65N80 65N85 65F35 65F20 65N20 65N15 35J05 31A30 PDFBibTeX XMLCite \textit{C. S. Chen} et al., J. Comput. Appl. Math. 423, Article ID 114955, 15 p. (2023; Zbl 1505.65307) Full Text: DOI
Kaminski, Michael; Shparlinski, Igor E.; Waldschmidt, Michel On sets of linear forms of maximal complexity. (English) Zbl 07638239 Comput. Complexity 32, No. 1, Paper No. 1, 26 p. (2023). MSC: 68Q17 11C08 13F20 PDFBibTeX XMLCite \textit{M. Kaminski} et al., Comput. Complexity 32, No. 1, Paper No. 1, 26 p. (2023; Zbl 07638239) Full Text: DOI arXiv
Krause, Maximilian; Pallicity, Tarkes Dora; Böhlke, Thomas Exact second moments of strain for composites with isotropic phases. (English) Zbl 1504.74012 Eur. J. Mech., A, Solids 97, Article ID 104806, 7 p. (2023). MSC: 74E30 74Q20 74E35 74M25 PDFBibTeX XMLCite \textit{M. Krause} et al., Eur. J. Mech., A, Solids 97, Article ID 104806, 7 p. (2023; Zbl 1504.74012) Full Text: DOI
Cortadellas Benítez, Teresa; D’Andrea, Carlos; Montoro, M. Eulàlia Bounds for degrees of syzygies of polynomials defining a grade two ideal. (English) Zbl 1525.13040 J. Symb. Comput. 115, 124-141 (2023). MSC: 13P20 13D02 14Q20 68W30 PDFBibTeX XMLCite \textit{T. Cortadellas Benítez} et al., J. Symb. Comput. 115, 124--141 (2023; Zbl 1525.13040) Full Text: DOI arXiv
Lee, Seunggyu; Yoon, Sungha; Lee, Chaeyoung; Kim, Sangkwon; Kim, Hyundong; Yang, Junxiang; Kwak, Soobin; Hwang, Youngjin; Kim, Junseok Effective time step analysis for the Allen-Cahn equation with a high-order polynomial free energy. (English) Zbl 07769307 Int. J. Numer. Methods Eng. 123, No. 19, 4726-4743 (2022). MSC: 65M06 65M12 65M15 41A58 41A25 35L35 35Q35 PDFBibTeX XMLCite \textit{S. Lee} et al., Int. J. Numer. Methods Eng. 123, No. 19, 4726--4743 (2022; Zbl 07769307) Full Text: DOI
Ecsedi, István; Lengyel, Ákos József Two theorems on the torsional rigidity of piezoelectric beams. (English) Zbl 1524.74131 J. Comput. Appl. Mech. 17, No. 1, 45-56 (2022). MSC: 74F15 74E10 74Q20 74K10 PDFBibTeX XMLCite \textit{I. Ecsedi} and \textit{Á. J. Lengyel}, J. Comput. Appl. Mech. 17, No. 1, 45--56 (2022; Zbl 1524.74131) Full Text: DOI
Levin, Bruce; Leu, Cheng-Shiun Proof of a key inequality for lattice event probabilities with equal odds. (English) Zbl 07634011 Sequential Anal. 41, No. 4, 451-491 (2022). MSC: 62F07 62F35 62L10 74Q20 PDFBibTeX XMLCite \textit{B. Levin} and \textit{C.-S. Leu}, Sequential Anal. 41, No. 4, 451--491 (2022; Zbl 07634011) Full Text: DOI
Etesami, S. Rasoul Maximizing convergence time in network averaging dynamics subject to edge removal. (English) Zbl 1505.93232 SIAM J. Optim. 32, No. 4, 2718-2744 (2022). MSC: 93D50 93B70 68Q17 93A16 90C20 PDFBibTeX XMLCite \textit{S. R. Etesami}, SIAM J. Optim. 32, No. 4, 2718--2744 (2022; Zbl 1505.93232) Full Text: DOI arXiv
Engl, Dominik; Kreisbeck, Carolin; Ritorto, Antonella Asymptotic analysis of deformation behavior in high-contrast fiber-reinforced materials: rigidity and anisotropy. (English) Zbl 1501.35032 Math. Models Methods Appl. Sci. 32, No. 8, 1633-1669 (2022). MSC: 35B27 35B40 74E30 74Q20 PDFBibTeX XMLCite \textit{D. Engl} et al., Math. Models Methods Appl. Sci. 32, No. 8, 1633--1669 (2022; Zbl 1501.35032) Full Text: DOI arXiv
Lefèvre, Victor; Francfort, Gilles A.; Lopez-Pamies, Oscar The curious case of 2D isotropic incompressible neo-Hookean composites. (English) Zbl 1504.74005 J. Elasticity 151, No. 1, 177-186 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 74A40 74B20 74Q05 74Q20 PDFBibTeX XMLCite \textit{V. Lefèvre} et al., J. Elasticity 151, No. 1, 177--186 (2022; Zbl 1504.74005) Full Text: DOI
Tang, Z.; Ye, W. Bounds of the effective elastic moduli of nanoparticle-reinforced composites based on composite sphere assemblage and interface stress model. (English) Zbl 1502.74089 Arch. Mech. 74, No. 4, 283-317 (2022). Reviewer: Vladimir Mityushev (Kraków) MSC: 74Q20 74E30 PDFBibTeX XMLCite \textit{Z. Tang} and \textit{W. Ye}, Arch. Mech. 74, No. 4, 283--317 (2022; Zbl 1502.74089) Full Text: DOI
Raices Cruz, Ivette; Lindström, Johan; Troffaes, Matthias C. M.; Sahlin, Ullrika Iterative importance sampling with Markov chain Monte Carlo sampling in robust Bayesian analysis. (English) Zbl 07584294 Comput. Stat. Data Anal. 176, Article ID 107558, 14 p. (2022). MSC: 62-XX PDFBibTeX XMLCite \textit{I. Raices Cruz} et al., Comput. Stat. Data Anal. 176, Article ID 107558, 14 p. (2022; Zbl 07584294) Full Text: DOI arXiv
Krawietz, Arnold Upper and lower bounds to the overall incremental stiffness of hyperelastic composites. (English) Zbl 1493.74100 Acta Mech. 233, No. 7, 2931-2953 (2022). MSC: 74Q20 74B20 74E30 PDFBibTeX XMLCite \textit{A. Krawietz}, Acta Mech. 233, No. 7, 2931--2953 (2022; Zbl 1493.74100) Full Text: DOI
Zhu, Dongmei; Zheng, Harry Effective approximation methods for constrained utility maximization with drift uncertainty. (English) Zbl 1492.91137 J. Optim. Theory Appl. 194, No. 1, 191-219 (2022). MSC: 91B16 93E20 49M29 PDFBibTeX XMLCite \textit{D. Zhu} and \textit{H. Zheng}, J. Optim. Theory Appl. 194, No. 1, 191--219 (2022; Zbl 1492.91137) Full Text: DOI
Lim, Tongseok; McCann, Robert J. On the cardinality of sets in \(\mathbb{R}^d\) obeying a slightly obtuse angle bound. (English) Zbl 07524460 SIAM J. Discrete Math. 36, No. 2, 1093-1101 (2022). Reviewer: László A. Székely (Columbia) MSC: 52C10 05A20 05B30 05D99 52C35 PDFBibTeX XMLCite \textit{T. Lim} and \textit{R. J. McCann}, SIAM J. Discrete Math. 36, No. 2, 1093--1101 (2022; Zbl 07524460) Full Text: DOI arXiv
Magazinov, Alexander; Peled, Ron Concentration inequalities for log-concave distributions with applications to random surface fluctuations. (English) Zbl 1486.60036 Ann. Probab. 50, No. 2, 735-770 (2022). MSC: 60E15 60K35 82C24 82B20 PDFBibTeX XMLCite \textit{A. Magazinov} and \textit{R. Peled}, Ann. Probab. 50, No. 2, 735--770 (2022; Zbl 1486.60036) Full Text: DOI arXiv Link
Merker, Joël; Ta, The-Anh Degrees \(d \geq \left (\sqrt{n} \log n\right)^n\) and \(d \geq \left (n \log n\right)^n\) in the conjectures of Green-Griffiths and of Kobayashi. (English) Zbl 1492.14062 Acta Math. Vietnam. 47, No. 1, 305-358 (2022). Reviewer: Hanlong Fang (Madison) MSC: 14J15 32Q45 14J60 14J70 PDFBibTeX XMLCite \textit{J. Merker} and \textit{T.-A. Ta}, Acta Math. Vietnam. 47, No. 1, 305--358 (2022; Zbl 1492.14062) Full Text: DOI arXiv
Li, Haigang; Li, Yan An extended Flaherty-Keller formula for an elastic composite with densely packed convex inclusions. (English) Zbl 1489.74049 Calc. Var. Partial Differ. Equ. 61, No. 3, Paper No. 90, 28 p. (2022). Reviewer: Vladimir Mityushev (Kraków) MSC: 74Q15 74Q20 74E30 74B05 PDFBibTeX XMLCite \textit{H. Li} and \textit{Y. Li}, Calc. Var. Partial Differ. Equ. 61, No. 3, Paper No. 90, 28 p. (2022; Zbl 1489.74049) Full Text: DOI arXiv
Languasco, Alessandro; Trudgian, Timothy S. Uniform effective estimates for \(|L (1, \chi)|\). (English) Zbl 1498.11183 J. Number Theory 236, 245-260 (2022). Reviewer: Sami Omar (Sukhair) MSC: 11M20 33-04 11Y16 11Y99 33B15 PDFBibTeX XMLCite \textit{A. Languasco} and \textit{T. S. Trudgian}, J. Number Theory 236, 245--260 (2022; Zbl 1498.11183) Full Text: DOI arXiv
Friedrich, Manuel; Machill, Lennart Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons. (English) Zbl 1486.74093 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 2, Paper No. 11, 42 p. (2022). Reviewer: V. Leontiev (Sankt-Peterburg) MSC: 74K20 74Q20 74D10 PDFBibTeX XMLCite \textit{M. Friedrich} and \textit{L. Machill}, NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 2, Paper No. 11, 42 p. (2022; Zbl 1486.74093) Full Text: DOI arXiv
Bern, Zvi; Kosmopoulos, Dimitrios; Zhiboedov, Alexander Gravitational effective field theory islands, low-spin dominance, and the four-graviton amplitude. (English) Zbl 1519.81389 J. Phys. A, Math. Theor. 54, No. 34, Article ID 344002, 95 p. (2021). MSC: 81T12 81U20 83D05 81T13 PDFBibTeX XMLCite \textit{Z. Bern} et al., J. Phys. A, Math. Theor. 54, No. 34, Article ID 344002, 95 p. (2021; Zbl 1519.81389) Full Text: DOI arXiv
Levin, Bruce; Leu, Cheng-Shiun A key inequality for lower bound formulas for lattice event probabilities. (English) Zbl 1493.62094 Sequential Anal. 40, No. 4, 554-574 (2021). MSC: 62F07 62F35 62L10 74Q20 PDFBibTeX XMLCite \textit{B. Levin} and \textit{C.-S. Leu}, Sequential Anal. 40, No. 4, 554--574 (2021; Zbl 1493.62094) Full Text: DOI
Abdulle, Assyr; Arjmand, Doghonay; Paganoni, Edoardo A parabolic local problem with exponential decay of the resonance error for numerical homogenization. (English) Zbl 07466873 Math. Models Methods Appl. Sci. 31, No. 13, 2733-2772 (2021). MSC: 65-XX 35B27 76M50 35K20 65L70 PDFBibTeX XMLCite \textit{A. Abdulle} et al., Math. Models Methods Appl. Sci. 31, No. 13, 2733--2772 (2021; Zbl 07466873) Full Text: DOI arXiv
Golgoon, Ashkan; Yavari, Arash On Hashin’s hollow cylinder and sphere assemblages in anisotropic nonlinear elasticity. (English) Zbl 1486.74117 J. Elasticity 146, No. 1, 65-82 (2021). Reviewer: Siran Li (Shanghai) MSC: 74Q20 74B20 74E10 74E30 74F10 PDFBibTeX XMLCite \textit{A. Golgoon} and \textit{A. Yavari}, J. Elasticity 146, No. 1, 65--82 (2021; Zbl 1486.74117) Full Text: DOI
Nie, Yinghao; Li, Zheng; Cheng, Gengdong Efficient prediction of the effective nonlinear properties of porous material by FEM-cluster based analysis (FCA). (English) Zbl 1506.74338 Comput. Methods Appl. Mech. Eng. 383, Article ID 113921, 31 p. (2021). MSC: 74Q20 74S05 65N30 74F10 PDFBibTeX XMLCite \textit{Y. Nie} et al., Comput. Methods Appl. Mech. Eng. 383, Article ID 113921, 31 p. (2021; Zbl 1506.74338) Full Text: DOI
Arkhipov, Igor’ Konstantinovich; Abramova, Vlada Igorevna; Kuzovleva, Ol’ga Vladimirovna; Gvozdev, Aleksandr Evgen’evich Mathematical variational method for determining the effective yield strength of two-component composite materials. (Russian. English summary) Zbl 1484.74067 Chebyshevskiĭ Sb. 22, No. 1(77), 370-377 (2021). MSC: 74Q20 74E30 74C05 PDFBibTeX XMLCite \textit{I. K. Arkhipov} et al., Chebyshevskiĭ Sb. 22, No. 1(77), 370--377 (2021; Zbl 1484.74067) Full Text: MNR
Song, Junpeng; Rui, Hongxing A reduced-order finite element method based on POD for the incompressible miscible displacement problem. (English) Zbl 1524.76471 Comput. Math. Appl. 98, 99-117 (2021). MSC: 76S05 76M10 65M60 65N30 65M15 PDFBibTeX XMLCite \textit{J. Song} and \textit{H. Rui}, Comput. Math. Appl. 98, 99--117 (2021; Zbl 1524.76471) Full Text: DOI
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen Sharp error estimates on a stochastic structure-preserving scheme in computing effective diffusivity of 3D chaotic flows. (English) Zbl 1496.65192 Multiscale Model. Simul. 19, No. 3, 1167-1189 (2021). MSC: 65M75 35B27 37M25 60H35 65P10 65M15 76R50 35Q31 PDFBibTeX XMLCite \textit{Z. Wang} et al., Multiscale Model. Simul. 19, No. 3, 1167--1189 (2021; Zbl 1496.65192) Full Text: DOI arXiv
Dong, Hao; Nie, Yufeng; Cui, Junzhi; Kou, Wenbo; Zou, Minqiang; Han, Junyan; Guan, Xiaofei; Yang, Zihao A wavelet-based learning approach assisted multiscale analysis for estimating the effective thermal conductivities of particulate composites. (English) Zbl 1506.74337 Comput. Methods Appl. Mech. Eng. 374, Article ID 113591, 28 p. (2021). MSC: 74Q20 65T60 PDFBibTeX XMLCite \textit{H. Dong} et al., Comput. Methods Appl. Mech. Eng. 374, Article ID 113591, 28 p. (2021; Zbl 1506.74337) Full Text: DOI
Burazin, Krešimir; Jankov, Jelena On the effective properties of composite elastic plate. (English) Zbl 1458.74123 J. Math. Anal. Appl. 495, No. 1, Article ID 124696, 34 p. (2021). MSC: 74Q15 74Q20 74K20 74E30 PDFBibTeX XMLCite \textit{K. Burazin} and \textit{J. Jankov}, J. Math. Anal. Appl. 495, No. 1, Article ID 124696, 34 p. (2021; Zbl 1458.74123) Full Text: DOI
Burazin, Krešimir; Crnjac, Ivana; Vrdoljak, Marko Optimality criteria method in 2D linearized elasticity problems. (English) Zbl 1457.74161 Appl. Numer. Math. 160, 192-204 (2021). MSC: 74P05 74B10 74Q20 74E30 PDFBibTeX XMLCite \textit{K. Burazin} et al., Appl. Numer. Math. 160, 192--204 (2021; Zbl 1457.74161) Full Text: DOI
Brisard, Sébastien; Tran, V. P.; Sab, Karam Morphology-dependent Hashin-Shtrikman bounds on the effective properties of stress-gradient materials. (English) Zbl 1481.74643 Eur. J. Mech., A, Solids 85, Article ID 104072, 26 p. (2021). Reviewer: Vladimir Mityushev (Kraków) MSC: 74Q20 74Q05 PDFBibTeX XMLCite \textit{S. Brisard} et al., Eur. J. Mech., A, Solids 85, Article ID 104072, 26 p. (2021; Zbl 1481.74643) Full Text: DOI
Hart, Kenneth A.; Rimoli, Julian J. Generation of statistically representative microstructures with direct grain geometry control. (English) Zbl 1506.74406 Comput. Methods Appl. Mech. Eng. 370, Article ID 113242, 19 p. (2020). MSC: 74S05 74M25 65N30 74Q20 PDFBibTeX XMLCite \textit{K. A. Hart} and \textit{J. J. Rimoli}, Comput. Methods Appl. Mech. Eng. 370, Article ID 113242, 19 p. (2020; Zbl 1506.74406) Full Text: DOI
Gómez, Delfina; Nazarov, Sergei A.; Pérez-Martínez, María-Eugenia Asymptotics for spectral problems with rapidly alternating boundary conditions on a strainer Winkler foundation. (English) Zbl 1458.35041 J. Elasticity 142, No. 1, 89-120 (2020). MSC: 35B27 74B05 74Q20 35P05 35B25 35J25 35P15 PDFBibTeX XMLCite \textit{D. Gómez} et al., J. Elasticity 142, No. 1, 89--120 (2020; Zbl 1458.35041) Full Text: DOI
Ochoa, Ignacio; Idiart, Martín I. Explicit estimates versus numerical bounds for the electrical conductivity of dispersions with dissimilar particle shape and distribution. (English) Zbl 1453.74074 J. Eng. Math. 123, 165-171 (2020). MSC: 74Q20 74F15 74F10 74S05 78A48 PDFBibTeX XMLCite \textit{I. Ochoa} and \textit{M. I. Idiart}, J. Eng. Math. 123, 165--171 (2020; Zbl 1453.74074) Full Text: DOI
Mejak, George Hashin-Shtrikman bounds of periodic linear elastic media with cubic symmetry. (English) Zbl 1482.74148 Math. Mech. Solids 25, No. 5, 1182-1198 (2020). MSC: 74Q20 74E30 74B05 PDFBibTeX XMLCite \textit{G. Mejak}, Math. Mech. Solids 25, No. 5, 1182--1198 (2020; Zbl 1482.74148) Full Text: DOI
Dai, Ming; Hua, Jian; Schiavone, Peter Compressible liquid/gas inclusion with high initial pressure in plane deformation: modified boundary conditions and related analytical solutions. (English) Zbl 1475.74019 Eur. J. Mech., A, Solids 82, Article ID 104000, 8 p. (2020). MSC: 74E05 74F10 74S70 74Q20 PDFBibTeX XMLCite \textit{M. Dai} et al., Eur. J. Mech., A, Solids 82, Article ID 104000, 8 p. (2020; Zbl 1475.74019) Full Text: DOI
Wu, Ling; Zulueta, Kepa; Major, Zoltan; Arriaga, Aitor; Noels, Ludovic Bayesian inference of non-linear multiscale model parameters accelerated by a deep neural network. (English) Zbl 1441.74192 Comput. Methods Appl. Mech. Eng. 360, Article ID 112693, 17 p. (2020). MSC: 74Q20 62F15 62M45 65Z05 PDFBibTeX XMLCite \textit{L. Wu} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112693, 17 p. (2020; Zbl 1441.74192) Full Text: DOI Link
Dana, Saumik; Ita, Joel; Wheeler, Mary F. The correspondence between Voigt and Reuss bounds and the decoupling constraint in a two-grid staggered algorithm for consolidation in heterogeneous porous media. (English) Zbl 1433.74093 Multiscale Model. Simul. 18, No. 1, 221-239 (2020). MSC: 74Q20 PDFBibTeX XMLCite \textit{S. Dana} et al., Multiscale Model. Simul. 18, No. 1, 221--239 (2020; Zbl 1433.74093) Full Text: DOI
Lakhal, L.; Brunet, Yves; Kanit, T. Numerical bounds for elastic properties of unidirectional non-overlapping fiber reinforced materials. (English) Zbl 1473.74113 Eur. J. Mech., A, Solids 80, Article ID 103926, 14 p. (2020). MSC: 74Q20 74Q15 74Q05 74S05 PDFBibTeX XMLCite \textit{L. Lakhal} et al., Eur. J. Mech., A, Solids 80, Article ID 103926, 14 p. (2020; Zbl 1473.74113) Full Text: DOI
Kang, Hyeonbae; Yu, Sanghyeon A proof of the Flaherty-Keller formula on the effective property of densely packed elastic composites. (English) Zbl 1439.35160 Calc. Var. Partial Differ. Equ. 59, No. 1, Paper No. 22, 13 p. (2020). MSC: 35J47 74B05 74Q20 PDFBibTeX XMLCite \textit{H. Kang} and \textit{S. Yu}, Calc. Var. Partial Differ. Equ. 59, No. 1, Paper No. 22, 13 p. (2020; Zbl 1439.35160) Full Text: DOI arXiv
Cheng, Gengdong; Li, Xikui; Nie, Yinghao; Li, Hengyang FEM-cluster based reduction method for efficient numerical prediction of effective properties of heterogeneous material in nonlinear range. (English) Zbl 1440.74383 Comput. Methods Appl. Mech. Eng. 348, 157-184 (2019). MSC: 74S05 74Q20 PDFBibTeX XMLCite \textit{G. Cheng} et al., Comput. Methods Appl. Mech. Eng. 348, 157--184 (2019; Zbl 1440.74383) Full Text: DOI
Brito-Santana, Humberto; Thiesen, José Luís Medeiros; de Medeiros, Ricardo; Ferreira, Antonio Joaquim Mendes; Rodríguez-Ramos, Reinaldo; Tita, Volnei Multiscale analysis for predicting the constitutive tensor effective coefficients of layered composites with micro and macro failures. (English) Zbl 1481.74644 Appl. Math. Modelling 75, 250-266 (2019). MSC: 74Q20 PDFBibTeX XMLCite \textit{H. Brito-Santana} et al., Appl. Math. Modelling 75, 250--266 (2019; Zbl 1481.74644) Full Text: DOI
Venetis, J.; Sideridis, E. A lower bound of longitudinal elastic modulus for three-phase fibrous composites. (English) Zbl 1425.74406 Math. Mech. Solids 24, No. 1, 72-84 (2019). MSC: 74Q20 74E30 PDFBibTeX XMLCite \textit{J. Venetis} and \textit{E. Sideridis}, Math. Mech. Solids 24, No. 1, 72--84 (2019; Zbl 1425.74406) Full Text: DOI
Esmaeili, Ali; Asadi, Saeed; Larsson, Fredrik; Runesson, Kenneth Construction of macroscale yield surfaces for ductile composites based on a virtual testing strategy. (English) Zbl 1473.74028 Eur. J. Mech., A, Solids 77, Article ID 103786, 13 p. (2019). MSC: 74E30 74C99 74Q20 PDFBibTeX XMLCite \textit{A. Esmaeili} et al., Eur. J. Mech., A, Solids 77, Article ID 103786, 13 p. (2019; Zbl 1473.74028) Full Text: DOI
Mello, Jorge Canonical heights and monomial maps: on effective lower bounds for points with dense orbit. (English) Zbl 1436.37102 J. Number Theory 205, 321-339 (2019). MSC: 37P30 37P55 11G50 14E05 PDFBibTeX XMLCite \textit{J. Mello}, J. Number Theory 205, 321--339 (2019; Zbl 1436.37102) Full Text: DOI arXiv
Khaochim, Narissara; Masri, Riad; Tsai, Wei-Lun An effective bound for the partition function. (English) Zbl 1451.11112 Res. Number Theory 5, No. 1, Paper No. 14, 25 p. (2019). Reviewer: Nian Hong Zhou (Shanghai) MSC: 11P82 PDFBibTeX XMLCite \textit{N. Khaochim} et al., Res. Number Theory 5, No. 1, Paper No. 14, 25 p. (2019; Zbl 1451.11112) Full Text: DOI
Scheiblechner, Peter Effective de Rham cohomology – the general case. (English) Zbl 1422.14064 Commun. Contemp. Math. 21, No. 5, Article ID 1850067, 37 p. (2019). Reviewer: Josef Schicho (Linz) MSC: 14Q20 14F40 68W30 34C07 PDFBibTeX XMLCite \textit{P. Scheiblechner}, Commun. Contemp. Math. 21, No. 5, Article ID 1850067, 37 p. (2019; Zbl 1422.14064) Full Text: DOI arXiv
Sevostianov, I.; Mogilevskaya, S. G.; Kushch, V. I. Maxwell’s methodology of estimating effective properties: alive and well. (English) Zbl 1425.74405 Int. J. Eng. Sci. 140, 35-88 (2019). MSC: 74Q20 78A25 74E30 PDFBibTeX XMLCite \textit{I. Sevostianov} et al., Int. J. Eng. Sci. 140, 35--88 (2019; Zbl 1425.74405) Full Text: DOI Link
Bos, Len; Slawinski, Michael A.; Stanoev, Theodore On the Backus average of a layered medium with elasticity tensors in random orientations. (English) Zbl 1415.86031 Z. Angew. Math. Phys. 70, No. 3, Paper No. 84, 15 p. (2019). MSC: 86A15 74Q20 74E15 PDFBibTeX XMLCite \textit{L. Bos} et al., Z. Angew. Math. Phys. 70, No. 3, Paper No. 84, 15 p. (2019; Zbl 1415.86031) Full Text: DOI
Lobos Fernández, Mauricio; Böhlke, Thomas Representation of Hashin-Shtrikman bounds in terms of texture coefficients for arbitrarily anisotropic polycrystalline materials. (English) Zbl 1411.74048 J. Elasticity 134, No. 1, 1-38 (2019). MSC: 74Q15 74Q20 74P05 15A72 15A21 42C10 PDFBibTeX XMLCite \textit{M. Lobos Fernández} and \textit{T. Böhlke}, J. Elasticity 134, No. 1, 1--38 (2019; Zbl 1411.74048) Full Text: DOI
Furer, Joshua; Ponte Castañeda, Pedro A symmetric fully optimized second-order method for nonlinear homogenization. (English) Zbl 07776820 ZAMM, Z. Angew. Math. Mech. 98, No. 2, 222-254 (2018). MSC: 49M29 49S05 65Z05 74D10 74B20 74Q05 74Q15 74Q20 PDFBibTeX XMLCite \textit{J. Furer} and \textit{P. Ponte Castañeda}, ZAMM, Z. Angew. Math. Mech. 98, No. 2, 222--254 (2018; Zbl 07776820) Full Text: DOI
Serre, Denis Periodic homogenization in terms of differential forms. (English) Zbl 1463.35066 Rev. Roum. Math. Pures Appl. 63, No. 4, 527-546 (2018). MSC: 35B27 74Q20 PDFBibTeX XMLCite \textit{D. Serre}, Rev. Roum. Math. Pures Appl. 63, No. 4, 527--546 (2018; Zbl 1463.35066)
Serre, Denis Periodic homogenization in terms of differential forms. (English) Zbl 07002422 Rev. Roum. Math. Pures Appl. 63, No. 3, 527-546 (2018). MSC: 35B27 74Q20 PDFBibTeX XMLCite \textit{D. Serre}, Rev. Roum. Math. Pures Appl. 63, No. 3, 527--546 (2018; Zbl 07002422)
Bălilescu, Loredana; Conca, Carlos; Ghosh, Tuhin; San Martín, Jorge; Vanninathan, Muthusamy The dispersion tensor and its unique minimizer in Hashin-Shtrikman micro-structures. (English) Zbl 1398.35230 Arch. Ration. Mech. Anal. 230, No. 2, 665-700 (2018). MSC: 35Q74 35B27 74Q20 49K20 74A60 35P15 74M25 74A40 PDFBibTeX XMLCite \textit{L. Bălilescu} et al., Arch. Ration. Mech. Anal. 230, No. 2, 665--700 (2018; Zbl 1398.35230) Full Text: DOI arXiv
Braides, Andrea; Kreutz, Leonard Design of lattice surface energies. (English) Zbl 1397.35014 Calc. Var. Partial Differ. Equ. 57, No. 4, Paper No. 97, 43 p. (2018). MSC: 35B27 74Q20 82B20 49J45 49Q20 PDFBibTeX XMLCite \textit{A. Braides} and \textit{L. Kreutz}, Calc. Var. Partial Differ. Equ. 57, No. 4, Paper No. 97, 43 p. (2018; Zbl 1397.35014) Full Text: DOI Link
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen Computing effective diffusivity of chaotic and stochastic flows using structure-preserving schemes. (English) Zbl 1404.65209 SIAM J. Numer. Anal. 56, No. 4, 2322-2344 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 65M75 35Q84 35R60 35B27 60H35 65P10 76R99 65M15 PDFBibTeX XMLCite \textit{Z. Wang} et al., SIAM J. Numer. Anal. 56, No. 4, 2322--2344 (2018; Zbl 1404.65209) Full Text: DOI arXiv
Düll, Wolf-Patrick; Hilder, Bastian; Schneider, Guido Analysis of the embedded cell method in 1D for the numerical homogenization of metal-ceramic composite materials. (English) Zbl 1451.74048 J. Appl. Anal. 24, No. 1, 71-80 (2018). MSC: 74B05 74Q20 74A40 PDFBibTeX XMLCite \textit{W.-P. Düll} et al., J. Appl. Anal. 24, No. 1, 71--80 (2018; Zbl 1451.74048) Full Text: DOI arXiv
Pérez-Fernández, Leslie D.; León-Mecías, Ángela M.; Bravo-Castillero, Julián Negligible microstructure in a class of porous nonlinear materials via variational bounds. (English) Zbl 1387.74098 Math. Methods Appl. Sci. 41, No. 2, 504-511 (2018). MSC: 74Q20 74A40 PDFBibTeX XMLCite \textit{L. D. Pérez-Fernández} et al., Math. Methods Appl. Sci. 41, No. 2, 504--511 (2018; Zbl 1387.74098) Full Text: DOI
Shen, Zhongwei; Zhuge, Jinping Approximate correctors and convergence rates in almost-periodic homogenization. (English) Zbl 1409.35027 J. Math. Pures Appl. (9) 110, 187-238 (2018). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 74Q20 35J25 35B15 PDFBibTeX XMLCite \textit{Z. Shen} and \textit{J. Zhuge}, J. Math. Pures Appl. (9) 110, 187--238 (2018; Zbl 1409.35027) Full Text: DOI arXiv
Ju, X.; Mahnken, R. Model adaptivity on effective elastic properties coupled with adaptive FEM. (English) Zbl 1439.74428 Comput. Methods Appl. Mech. Eng. 322, 208-237 (2017). MSC: 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{X. Ju} and \textit{R. Mahnken}, Comput. Methods Appl. Mech. Eng. 322, 208--237 (2017; Zbl 1439.74428) Full Text: DOI
Ghosh, Tuhin; Vanninathan, Muthusamy Convergence relative to a microstructure: properties, optimal bounds and application. (English) Zbl 06850619 J. Abstr. Differ. Equ. Appl. 8, No. 2, 81-188 (2017). MSC: 62K05 78M40 74Q20 78A48 PDFBibTeX XMLCite \textit{T. Ghosh} and \textit{M. Vanninathan}, J. Abstr. Differ. Equ. Appl. 8, No. 2, 81--188 (2017; Zbl 06850619) Full Text: arXiv Link
Marigo, Jean-Jacques; Maurel, Agnès; Pham, Kim; Sbitti, Amine Effective dynamic properties of a row of elastic inclusions: the case of scalar shear waves. (English) Zbl 1374.74106 J. Elasticity 128, No. 2, 265-289 (2017). MSC: 74Q10 74Q15 74Q20 PDFBibTeX XMLCite \textit{J.-J. Marigo} et al., J. Elasticity 128, No. 2, 265--289 (2017; Zbl 1374.74106) Full Text: DOI Link
Lobos, Mauricio; Yuzbasioglu, Tunc; Böhlke, Thomas Homogenization and materials design of anisotropic multiphase linear elastic materials using central model functions. (English) Zbl 1373.74084 J. Elasticity 128, No. 1, 17-60 (2017). MSC: 74Q15 74Q20 74P05 15A72 15A21 42C10 PDFBibTeX XMLCite \textit{M. Lobos} et al., J. Elasticity 128, No. 1, 17--60 (2017; Zbl 1373.74084) Full Text: DOI
Goldsztein, Guillermo H. Mathematical model and analysis of the strength of particle reinforced ideally plastic composites. (English) Zbl 1368.74016 Q. Appl. Math. 75, No. 4, 769-782 (2017). MSC: 74C05 74Q05 74Q15 74Q20 PDFBibTeX XMLCite \textit{G. H. Goldsztein}, Q. Appl. Math. 75, No. 4, 769--782 (2017; Zbl 1368.74016) Full Text: DOI
Milton, Graeme; Harutyunyan, Davit; Briane, Marc Towards a complete characterization of the effective elasticity tensors of mixtures of an elastic phase and an almost rigid phase. (English) Zbl 1368.74054 Math. Mech. Complex Syst. 5, No. 1, 95-113 (2017). MSC: 74Q20 35Q74 PDFBibTeX XMLCite \textit{G. Milton} et al., Math. Mech. Complex Syst. 5, No. 1, 95--113 (2017; Zbl 1368.74054) Full Text: DOI arXiv
Milton, Graeme; Briane, Marc; Harutyunyan, Davit On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials. (English) Zbl 1368.74053 Math. Mech. Complex Syst. 5, No. 1, 41-94 (2017). MSC: 74Q20 35Q74 PDFBibTeX XMLCite \textit{G. Milton} et al., Math. Mech. Complex Syst. 5, No. 1, 41--94 (2017; Zbl 1368.74053) Full Text: DOI arXiv
Kohlenbach, U.; Nicolae, A. A proof-theoretic bound extraction theorem for \(\mathrm{CAT}(\kappa)\)-spaces. (English) Zbl 1420.03140 Stud. Log. 105, No. 3, 611-624 (2017). MSC: 03F10 53C22 58D17 PDFBibTeX XMLCite \textit{U. Kohlenbach} and \textit{A. Nicolae}, Stud. Log. 105, No. 3, 611--624 (2017; Zbl 1420.03140) Full Text: DOI
Braides, Andrea; Kreutz, Leonard Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions. (English) Zbl 1373.35029 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 28, No. 1, 103-117 (2017). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 39A12 74Q20 74E30 82B20 PDFBibTeX XMLCite \textit{A. Braides} and \textit{L. Kreutz}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 28, No. 1, 103--117 (2017; Zbl 1373.35029) Full Text: DOI
Calvo-Jurado, Carmen; Parnell, William J. The influence of two-point statistics on the Hashin-Shtrikman bounds for three phase composites. (English) Zbl 1366.74065 J. Comput. Appl. Math. 318, 354-365 (2017). MSC: 74Q20 74Q15 PDFBibTeX XMLCite \textit{C. Calvo-Jurado} and \textit{W. J. Parnell}, J. Comput. Appl. Math. 318, 354--365 (2017; Zbl 1366.74065) Full Text: DOI
Nguyen, Khoa D. On modules of integral elements over finitely generated domains. (English) Zbl 1420.11066 Trans. Am. Math. Soc. 369, No. 5, 3047-3066 (2017). MSC: 11D61 11R06 13G05 PDFBibTeX XMLCite \textit{K. D. Nguyen}, Trans. Am. Math. Soc. 369, No. 5, 3047--3066 (2017; Zbl 1420.11066) Full Text: DOI arXiv
Dill, Gabriel A. Effective approximation and Diophantine applications. (English) Zbl 1420.11064 Acta Arith. 177, No. 2, 169-199 (2017). MSC: 11D41 11D45 11D57 11J68 PDFBibTeX XMLCite \textit{G. A. Dill}, Acta Arith. 177, No. 2, 169--199 (2017; Zbl 1420.11064) Full Text: DOI arXiv
Sipoş, Andrei Effective results on a fixed point algorithm for families of nonlinear mappings. (English) Zbl 1422.03123 Ann. Pure Appl. Logic 168, No. 1, 112-128 (2017). MSC: 03F10 03F60 47J25 47H09 PDFBibTeX XMLCite \textit{A. Sipoş}, Ann. Pure Appl. Logic 168, No. 1, 112--128 (2017; Zbl 1422.03123) Full Text: DOI arXiv
Kapanadze, D.; Miszuris, W.; Pesetskaya, E. Relationship between the effective thermal properties of linear and nonlinear doubly periodic composites. (English) Zbl 07775067 ZAMM, Z. Angew. Math. Mech. 96, No. 7, 780-790 (2016). MSC: 34B15 35B27 74Q20 PDFBibTeX XMLCite \textit{D. Kapanadze} et al., ZAMM, Z. Angew. Math. Mech. 96, No. 7, 780--790 (2016; Zbl 07775067) Full Text: DOI
Idiart, Martín I.; Lahellec, Noel Estimates for the overall linear properties of pointwise heterogeneous solids with application to elasto-viscoplasticity. (English) Zbl 1451.74198 J. Mech. Phys. Solids 97, 317-332 (2016). MSC: 74Q20 74E05 74C10 PDFBibTeX XMLCite \textit{M. I. Idiart} and \textit{N. Lahellec}, J. Mech. Phys. Solids 97, 317--332 (2016; Zbl 1451.74198) Full Text: DOI
Vigdergauz, S. A planar grained structure with a multiphase nested inclusion in a periodic cell: elastostatic solution and the equi-stressness. (English) Zbl 1370.74132 Math. Mech. Solids 21, No. 6, 709-724 (2016). MSC: 74Q15 74K99 74S70 PDFBibTeX XMLCite \textit{S. Vigdergauz}, Math. Mech. Solids 21, No. 6, 709--724 (2016; Zbl 1370.74132) Full Text: DOI
Leuştean, Laurenţiu; Radu, Vlad; Sipoş, Andrei Quantitative results on the Ishikawa iteration of Lipschitz pseudo-contractions. (English) Zbl 1381.47054 J. Nonlinear Convex Anal. 17, No. 11, 2277-2292 (2016). MSC: 47J25 47H09 03F10 PDFBibTeX XMLCite \textit{L. Leuştean} et al., J. Nonlinear Convex Anal. 17, No. 11, 2277--2292 (2016; Zbl 1381.47054) Full Text: arXiv Link
Hajej, A. Error estimates for approximation schemes of effective Hamiltonians arising in stochastic homogenization of Hamilton-Jacobi equations. (English) Zbl 1366.65082 Numer. Algorithms 73, No. 3, 839-868 (2016). Reviewer: Vit Dolejsi (Praha) MSC: 65M15 35F21 35B27 49L25 65M08 65M12 65P10 37H10 PDFBibTeX XMLCite \textit{A. Hajej}, Numer. Algorithms 73, No. 3, 839--868 (2016; Zbl 1366.65082) Full Text: DOI
Levin, Bruce; Leu, Cheng-Shiun On lattice event probabilities for Levin-Robbins-Leu subset selection procedures. (English) Zbl 1348.62056 Sequential Anal. 35, No. 3, 370-386 (2016). MSC: 62F07 62F35 62L10 74Q20 PDFBibTeX XMLCite \textit{B. Levin} and \textit{C.-S. Leu}, Sequential Anal. 35, No. 3, 370--386 (2016; Zbl 1348.62056) Full Text: DOI
Finkel, Olivier Infinite games specified by 2-tape automata. (English) Zbl 1422.03113 Ann. Pure Appl. Logic 167, No. 12, 1184-1212 (2016). MSC: 03E60 03E35 03D05 68Q45 68Q15 68Q17 03E15 PDFBibTeX XMLCite \textit{O. Finkel}, Ann. Pure Appl. Logic 167, No. 12, 1184--1212 (2016; Zbl 1422.03113) Full Text: DOI arXiv
Das, Sonjoy; Chakravarty, Sourish Predictive algorithm for detection of microcracks from macroscale observables. (English) Zbl 1383.74095 SIAM/ASA J. Uncertain. Quantif. 4, 660-707 (2016). MSC: 74S60 65N21 65C50 74Q20 90C26 90C90 PDFBibTeX XMLCite \textit{S. Das} and \textit{S. Chakravarty}, SIAM/ASA J. Uncertain. Quantif. 4, 660--707 (2016; Zbl 1383.74095) Full Text: DOI
Abdulle, Assyr; Pouchon, Timothée A priori error analysis of the finite element heterogeneous multiscale method for the wave equation over long time. (English) Zbl 1382.65303 SIAM J. Numer. Anal. 54, No. 3, 1507-1534 (2016). MSC: 65M60 65M15 35B27 35B10 35B40 35L05 74Q10 74Q15 PDFBibTeX XMLCite \textit{A. Abdulle} and \textit{T. Pouchon}, SIAM J. Numer. Anal. 54, No. 3, 1507--1534 (2016; Zbl 1382.65303) Full Text: DOI
Gloria, Antoine; Habibi, Zakaria Reduction in the resonance error in numerical homogenization. II: Correctors and extrapolation. (English) Zbl 1335.65086 Found. Comput. Math. 16, No. 1, 217-296 (2016). Reviewer: Marius Ghergu (Dublin) MSC: 65N15 65N12 35B27 PDFBibTeX XMLCite \textit{A. Gloria} and \textit{Z. Habibi}, Found. Comput. Math. 16, No. 1, 217--296 (2016; Zbl 1335.65086) Full Text: DOI arXiv Link
López-Ruiz, G.; Bravo-Castillero, J.; Brenner, R.; Cruz, M. E.; Guinovart-Díaz, R.; Pérez-Fernández, L. D.; Rodríguez-Ramos, R. Variational bounds in composites with nonuniform interfacial thermal resistance. (English) Zbl 1443.74080 Appl. Math. Modelling 39, No. 23-24, 7266-7276 (2015). MSC: 74-10 74E30 PDFBibTeX XMLCite \textit{G. López-Ruiz} et al., Appl. Math. Modelling 39, No. 23--24, 7266--7276 (2015; Zbl 1443.74080) Full Text: DOI
Vondřejc, Jaroslav; Zeman, Jan; Marek, Ivo Guaranteed upper-lower bounds on homogenized properties by FFT-based Galerkin method. (English) Zbl 1423.74806 Comput. Methods Appl. Mech. Eng. 297, 258-291 (2015). MSC: 74Q20 74S05 65N30 65N35 PDFBibTeX XMLCite \textit{J. Vondřejc} et al., Comput. Methods Appl. Mech. Eng. 297, 258--291 (2015; Zbl 1423.74806) Full Text: DOI arXiv
Zhang, Chao; Waksmanski, Natalie; Wheeler, Vincent M.; Pan, Ernian; Larsen, Ross E. The effect of photodegradation on effective properties of polymeric thin films: a micromechanical homogenization approach. (English) Zbl 1423.74807 Int. J. Eng. Sci. 94, 1-22 (2015). MSC: 74Q20 74Q15 74K35 PDFBibTeX XMLCite \textit{C. Zhang} et al., Int. J. Eng. Sci. 94, 1--22 (2015; Zbl 1423.74807) Full Text: DOI