Zhongbo, Yuan; Hien, Poh Leong Pre-trained transformer model as a surrogate in multiscale computational homogenization framework for elastoplastic composite materials subjected to generic loading paths. (English) Zbl 07824854 Comput. Methods Appl. Mech. Eng. 421, Article ID 116745, 25 p. (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{Y. Zhongbo} and \textit{P. L. Hien}, Comput. Methods Appl. Mech. Eng. 421, Article ID 116745, 25 p. (2024; Zbl 07824854) Full Text: DOI
Kalina, Karl A.; Gebhart, Philipp; Brummund, Jörg; Linden, Lennart; Sun, WaiChing; Kästner, Markus Neural network-based multiscale modeling of finite strain magneto-elasticity with relaxed convexity criteria. (English) Zbl 07824853 Comput. Methods Appl. Mech. Eng. 421, Article ID 116739, 39 p. (2024). MSC: 74-XX 92-XX PDFBibTeX XMLCite \textit{K. A. Kalina} et al., Comput. Methods Appl. Mech. Eng. 421, Article ID 116739, 39 p. (2024; Zbl 07824853) Full Text: DOI arXiv
Ildefonso Díaz, Jesus; Shaposhnikova, Tatiana A.; Podolskiy, Alexander V. Strange non-local operators homogenizing the Poisson equation with dynamical unilateral boundary conditions: asymmetric particles of critical size. (English) Zbl 07823656 Electron. J. Differ. Equ. 2024, Paper No. 3, 29 p. (2024). MSC: 35B27 35K57 35K91 35R01 47B44 PDFBibTeX XMLCite \textit{J. Ildefonso Díaz} et al., Electron. J. Differ. Equ. 2024, Paper No. 3, 29 p. (2024; Zbl 07823656) Full Text: Link
Fergoug, Mouad; Parret-Fréaud, Augustin; Feld, Nicolas; Marchand, Basile; Forest, Samuel Hierarchical modeling of heterogeneous structures driven by a modeling error estimator. (English) Zbl 07823429 Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116529, 27 p. (2024). MSC: 74-XX 86-XX PDFBibTeX XMLCite \textit{M. Fergoug} et al., Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116529, 27 p. (2024; Zbl 07823429) Full Text: DOI
Niu, Weisheng Reiterated homogenization of parabolic systems with several spatial and temporal scales. (English) Zbl 07823138 J. Funct. Anal. 286, No. 9, Article ID 110365, 61 p. (2024). MSC: 35B27 PDFBibTeX XMLCite \textit{W. Niu}, J. Funct. Anal. 286, No. 9, Article ID 110365, 61 p. (2024; Zbl 07823138) Full Text: DOI
Zhai, Xiaoya; Wang, Weiming; Chen, Falai; Wu, Jun Topology optimization of differentiable microstructures. (English) Zbl 07822163 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116530, 16 p. (2024). MSC: 74-XX 90-XX PDFBibTeX XMLCite \textit{X. Zhai} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116530, 16 p. (2024; Zbl 07822163) Full Text: DOI
Lange, Nils; Hütter, Geralf; Kiefer, Bjoern A monolithic hyper ROM \(\mathrm{FE}^2\) method with clustered training at finite deformations. (English) Zbl 07822161 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116522, 23 p. (2024). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{N. Lange} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116522, 23 p. (2024; Zbl 07822161) Full Text: DOI arXiv
Francis, Noah M.; Pourahmadian, Fatemeh; Lebensohn, Ricardo A.; Dingreville, Rémi A fast Fourier transform-based solver for elastic micropolar composites. (English) Zbl 07822156 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116510, 21 p. (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{N. M. Francis} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116510, 21 p. (2024; Zbl 07822156) Full Text: DOI
Xia, Damin; Oskay, Caglar Proper orthogonal decomposition assisted eigendeformation-based mathematical homogenization method for modeling cracks in 3D polycrystalline microstructures. (English) Zbl 07822154 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116508, 24 p. (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{D. Xia} and \textit{C. Oskay}, Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116508, 24 p. (2024; Zbl 07822154) Full Text: DOI
Wang, Cong; Xie, Yi Min; Zhuang, Zicheng; Zhang, Xuyu; Zhou, Shiwei Strength design of porous materials using B-Spline based level set method. (English) Zbl 07822137 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116490, 34 p. (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{C. Wang} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116490, 34 p. (2024; Zbl 07822137) Full Text: DOI
Guo, Theron; Rokoš, Ondřej; Veroy, Karen A reduced order model for geometrically parameterized two-scale simulations of elasto-plastic microstructures under large deformations. (English) Zbl 07822119 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116467, 18 p. (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{T. Guo} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116467, 18 p. (2024; Zbl 07822119) Full Text: DOI arXiv
Nandakumaran, A. K.; Sufian, Abu; Thazhathethil, Renjith Homogenization of semi-linear optimal control problems on oscillating domains with matrix coefficients. (English) Zbl 07822051 Appl. Math. Optim. 89, No. 2, Paper No. 46, 42 p. (2024). MSC: 49J20 80M35 35B27 PDFBibTeX XMLCite \textit{A. K. Nandakumaran} et al., Appl. Math. Optim. 89, No. 2, Paper No. 46, 42 p. (2024; Zbl 07822051) Full Text: DOI
Schäfer, Florian; Owhadi, Houman Sparse recovery of elliptic solvers from matrix-vector products. (English) Zbl 07820570 SIAM J. Sci. Comput. 46, No. 2, A998-A1025 (2024). MSC: 65N55 65N22 65N15 65F05 65F50 65F55 65Y05 68T07 62C10 35R11 PDFBibTeX XMLCite \textit{F. Schäfer} and \textit{H. Owhadi}, SIAM J. Sci. Comput. 46, No. 2, A998--A1025 (2024; Zbl 07820570) Full Text: DOI arXiv
Wulfinghoff, Stephan Statistically compatible hyper-reduction for computational homogenization. (English) Zbl 07820280 Comput. Methods Appl. Mech. Eng. 420, Article ID 116744, 16 p. (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{S. Wulfinghoff}, Comput. Methods Appl. Mech. Eng. 420, Article ID 116744, 16 p. (2024; Zbl 07820280) Full Text: DOI
Li, Haozhi; Chen, Leilei; Zhi, Geng; Meng, Lu; Lian, Haojie; Liu, Zhaowei; Yu, Tiantang; Li, Pei A direct \(\mathrm{FE}^2\) method for concurrent multilevel modeling of piezoelectric materials and structures. (English) Zbl 07820241 Comput. Methods Appl. Mech. Eng. 420, Article ID 116696, 28 p. (2024). MSC: 74-XX 78-XX PDFBibTeX XMLCite \textit{H. Li} et al., Comput. Methods Appl. Mech. Eng. 420, Article ID 116696, 28 p. (2024; Zbl 07820241) Full Text: DOI
Davoli, Elisa; Gavioli, Chiara; Pagliari, Valerio A homogenization result in finite plasticity. (English) Zbl 07819601 Calc. Var. Partial Differ. Equ. 63, No. 3, Paper No. 72, 22 p. (2024). MSC: 49J45 74C15 74E30 74Q05 PDFBibTeX XMLCite \textit{E. Davoli} et al., Calc. Var. Partial Differ. Equ. 63, No. 3, Paper No. 72, 22 p. (2024; Zbl 07819601) Full Text: DOI arXiv OA License
Bryngelson, Spencer H.; Schäfer, Florian; Liu, Jessie; Mani, Ali Fast macroscopic forcing method. (English) Zbl 07819068 J. Comput. Phys. 499, Article ID 112721, 13 p. (2024). MSC: 65Fxx 65Nxx 68Wxx PDFBibTeX XMLCite \textit{S. H. Bryngelson} et al., J. Comput. Phys. 499, Article ID 112721, 13 p. (2024; Zbl 07819068) Full Text: DOI arXiv
Bonizzoni, Francesca; Hauck, Moritz; Peterseim, Daniel A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems. (English) Zbl 07819051 J. Comput. Phys. 499, Article ID 112698, 20 p. (2024). MSC: 65Nxx 35Jxx 41Axx PDFBibTeX XMLCite \textit{F. Bonizzoni} et al., J. Comput. Phys. 499, Article ID 112698, 20 p. (2024; Zbl 07819051) Full Text: DOI arXiv
Monsurrò, S.; Nandakumaran, A. K.; Perugia, C. A note on the exact boundary controllability for an imperfect transmission problem. (English) Zbl 07818708 Ric. Mat. 73, No. 1, 547-564 (2024). MSC: 35B27 35Q93 93B05 35B37 35L20 PDFBibTeX XMLCite \textit{S. Monsurrò} et al., Ric. Mat. 73, No. 1, 547--564 (2024; Zbl 07818708) Full Text: DOI OA License
Nika, Grigor Derivation of effective models from heterogenous Cosserat media via periodic unfolding. (English) Zbl 07818702 Ric. Mat. 73, No. 1, 381-406 (2024). MSC: 35A15 35Q74 74M25 74Q15 PDFBibTeX XMLCite \textit{G. Nika}, Ric. Mat. 73, No. 1, 381--406 (2024; Zbl 07818702) Full Text: DOI OA License
Mielke, Alexander; Reichelt, Sina Traveling fronts in a reaction-diffusion equation with a memory term. (English) Zbl 07818501 J. Dyn. Differ. Equations 36, No. 1, Suppl., S487-S513 (2024). MSC: 35-XX 45-XX PDFBibTeX XMLCite \textit{A. Mielke} and \textit{S. Reichelt}, J. Dyn. Differ. Equations 36, No. 1, S487--S513 (2024; Zbl 07818501) Full Text: DOI arXiv OA License
Briane, Marc; Hervé, Loïc Specific properties of the ODE’s flow in dimension two versus dimension three. (English) Zbl 07818466 J. Dyn. Differ. Equations 36, No. 1, 421-461 (2024). MSC: 34E10 37C10 37C40 42B05 PDFBibTeX XMLCite \textit{M. Briane} and \textit{L. Hervé}, J. Dyn. Differ. Equations 36, No. 1, 421--461 (2024; Zbl 07818466) Full Text: DOI arXiv
Jankowiak, Gaspard; Lozinski, Alexei Non-conforming multiscale finite element method for Stokes flows in heterogeneous media. II: Error estimates for periodic microstructure. (English) Zbl 07815401 Discrete Contin. Dyn. Syst., Ser. B 29, No. 5, 2298-2332 (2024). MSC: 65N30 65N12 65N15 35J15 76M10 35Q35 PDFBibTeX XMLCite \textit{G. Jankowiak} and \textit{A. Lozinski}, Discrete Contin. Dyn. Syst., Ser. B 29, No. 5, 2298--2332 (2024; Zbl 07815401) Full Text: DOI arXiv
Lang, Annika; Ljung, Per; Målqvist, Axel Localized orthogonal decomposition for a multiscale parabolic stochastic partial differential equation. (English) Zbl 07813974 Multiscale Model. Simul. 22, No. 1, 204-229 (2024). MSC: 65C30 65M12 65M60 60H35 60H15 65C05 PDFBibTeX XMLCite \textit{A. Lang} et al., Multiscale Model. Simul. 22, No. 1, 204--229 (2024; Zbl 07813974) Full Text: DOI arXiv
Ming, Pingbing; Song, Siqi Error estimate of multiscale finite element method for periodic media revisited. (English) Zbl 07813969 Multiscale Model. Simul. 22, No. 1, 106-124 (2024). MSC: 65N30 35J25 65N12 65N15 PDFBibTeX XMLCite \textit{P. Ming} and \textit{S. Song}, Multiscale Model. Simul. 22, No. 1, 106--124 (2024; Zbl 07813969) Full Text: DOI arXiv
Sprekeler, Timo Homogenization of nondivergence-form elliptic equations with discontinuous coefficients and finite element approximation of the homogenized problem. (English) Zbl 07813249 SIAM J. Numer. Anal. 62, No. 2, 646-666 (2024). MSC: 35B27 35J25 65N12 65N30 PDFBibTeX XMLCite \textit{T. Sprekeler}, SIAM J. Numer. Anal. 62, No. 2, 646--666 (2024; Zbl 07813249) Full Text: DOI arXiv
Geng, Jun; Shi, Bojing Uniform estimates for systems of elasticity in homogenization. (English) Zbl 07812263 J. Differ. Equations 389, 457-507 (2024). MSC: 35B27 35J57 42B37 74B05 74Q05 PDFBibTeX XMLCite \textit{J. Geng} and \textit{B. Shi}, J. Differ. Equations 389, 457--507 (2024; Zbl 07812263) Full Text: DOI
Chiarini, Leandro; Ruszel, Wioletta M. Stochastic homogenization of Gaussian fields on random media. (English) Zbl 07812086 Ann. Henri Poincaré 25, No. 3, 1869-1895 (2024). MSC: 60K37 60G15 60G60 35B27 60J60 60G20 PDFBibTeX XMLCite \textit{L. Chiarini} and \textit{W. M. Ruszel}, Ann. Henri Poincaré 25, No. 3, 1869--1895 (2024; Zbl 07812086) Full Text: DOI arXiv OA License
Fehrman, Benjamin Stochastic homogenization with space-time ergodic divergence-free drift. (English) Zbl 07810671 Ann. Probab. 52, No. 1, 350-380 (2024). MSC: 35B27 35B53 35B65 35K15 60F17 60H25 76M50 PDFBibTeX XMLCite \textit{B. Fehrman}, Ann. Probab. 52, No. 1, 350--380 (2024; Zbl 07810671) Full Text: DOI arXiv Link
de la Cruz, Ren Tristan A.; Cabarle, Francis George C.; Adorna, Henry N. Steps toward a homogenization procedure for spiking neural P systems. (English) Zbl 07808915 Theor. Comput. Sci. 981, Article ID 114250, 12 p. (2024). MSC: 68Qxx PDFBibTeX XMLCite \textit{R. T. A. de la Cruz} et al., Theor. Comput. Sci. 981, Article ID 114250, 12 p. (2024; Zbl 07808915) Full Text: DOI
Verfürth, Barbara Numerical multiscale methods for waves in high-contrast media. (English) Zbl 07808391 Jahresber. Dtsch. Math.-Ver. 126, No. 1, 37-65 (2024). MSC: 65N30 78A48 78M40 65N55 35B27 35B34 35B45 65N15 35J05 78A25 78M10 35Q60 PDFBibTeX XMLCite \textit{B. Verfürth}, Jahresber. Dtsch. Math.-Ver. 126, No. 1, 37--65 (2024; Zbl 07808391) Full Text: DOI OA License
Ye, Shuyu; Ma, Qiang; Tang, Qinglin; Cui, Junzhi; Li, Zhihui Second-order three-scale asymptotic analysis and algorithms for Steklov eigenvalue problems in composite domain with hierarchical cavities. (English) Zbl 07807894 J. Sci. Comput. 98, No. 3, Paper No. 61, 35 p. (2024). MSC: 65N25 65N30 65N12 35B05 35B40 35B27 35C20 35P15 PDFBibTeX XMLCite \textit{S. Ye} et al., J. Sci. Comput. 98, No. 3, Paper No. 61, 35 p. (2024; Zbl 07807894) Full Text: DOI
Higaki, Mitsuo; Prange, Christophe; Zhuge, Jinping Large-scale regularity for the stationary Navier-Stokes equations over non-Lipschitz boundaries. (English) Zbl 07807513 Anal. PDE 17, No. 1, 171-242 (2024). MSC: 35Q30 76D03 76D10 76M50 35B27 35B65 35B05 PDFBibTeX XMLCite \textit{M. Higaki} et al., Anal. PDE 17, No. 1, 171--242 (2024; Zbl 07807513) Full Text: DOI arXiv
Huang, Qiao; Duan, Jinqiao; Song, Renming Homogenization of non-Symmetric jump processes. (English) Zbl 07807054 Adv. Appl. Probab. 56, No. 1, 1-33 (2024). MSC: 35B27 60G53 60F17 35R09 PDFBibTeX XMLCite \textit{Q. Huang} et al., Adv. Appl. Probab. 56, No. 1, 1--33 (2024; Zbl 07807054) Full Text: DOI arXiv
Chen, Shi; Ding, Zhiyan; Li, Qin; Wright, Stephen J. A reduced order Schwarz method for nonlinear multiscale elliptic equations based on two-layer neural networks. (English) Zbl 07806684 J. Comput. Math. 42, No. 2, 570-596 (2024). MSC: 65N55 35J66 41A46 68T07 PDFBibTeX XMLCite \textit{S. Chen} et al., J. Comput. Math. 42, No. 2, 570--596 (2024; Zbl 07806684) Full Text: DOI arXiv
Anguiano, María; Suárez-Grau, Francisco Javier Mathematical derivation of a Reynolds equation for magneto-micropolar fluid flows through a thin domain. (English) Zbl 07804861 Z. Angew. Math. Phys. 75, No. 1, Paper No. 28, 26 p. (2024). MSC: 35Q35 76W05 76A20 76M50 35B27 PDFBibTeX XMLCite \textit{M. Anguiano} and \textit{F. J. Suárez-Grau}, Z. Angew. Math. Phys. 75, No. 1, Paper No. 28, 26 p. (2024; Zbl 07804861) Full Text: DOI
Xiao, Chun; Sun, Yishui; Huang, Huaxiong; Yue, Xingye; Song, Zilong; David, Tim; Xu, Shixin Cellular communication among smooth muscle cells: the role of membrane potential via connexins. (English) Zbl 07803837 J. Theor. Biol. 576, Article ID 111627, 23 p. (2024). MSC: 92C30 92C37 PDFBibTeX XMLCite \textit{C. Xiao} et al., J. Theor. Biol. 576, Article ID 111627, 23 p. (2024; Zbl 07803837) Full Text: DOI
Amar, Micol; Ayub, Afsheen; Gianni, Roberto Double layer concentration and homogenization for the heat diffusion in a composite material. (English) Zbl 07803503 Math. Mech. Complex Syst. 12, No. 1, 19-45 (2024). MSC: 35B27 35C20 35J57 PDFBibTeX XMLCite \textit{M. Amar} et al., Math. Mech. Complex Syst. 12, No. 1, 19--45 (2024; Zbl 07803503) Full Text: DOI
Freese, Philip; Hauck, Moritz; Keil, Tim; Peterseim, Daniel A super-localized generalized finite element method. (English) Zbl 07802486 Numer. Math. 156, No. 1, 205-235 (2024). MSC: 65N30 65N12 65N15 35J15 41A25 35B45 PDFBibTeX XMLCite \textit{P. Freese} et al., Numer. Math. 156, No. 1, 205--235 (2024; Zbl 07802486) Full Text: DOI arXiv OA License
Dörfler, Daniel; Löhne, Andreas Polyhedral approximation of spectrahedral shadows via homogenization. (English) Zbl 07802212 J. Optim. Theory Appl. 200, No. 2, 874-890 (2024). MSC: 52A27 90C59 PDFBibTeX XMLCite \textit{D. Dörfler} and \textit{A. Löhne}, J. Optim. Theory Appl. 200, No. 2, 874--890 (2024; Zbl 07802212) Full Text: DOI arXiv OA License
Han, Yanxiang; Lu, Zeyu; Huang, Juan Multiscale simulation scheme by using a finite-difference derivative framework for lubrication surface. (English) Zbl 07801621 Comput. Math. Appl. 155, 176-192 (2024). MSC: 76-XX 74-XX PDFBibTeX XMLCite \textit{Y. Han} et al., Comput. Math. Appl. 155, 176--192 (2024; Zbl 07801621) Full Text: DOI
Pan, Xiwei; Zhou, Zhengcheng; Ma, Chuang; Li, Shaoshuai; Zhu, Yichao Machine-learning-based asymptotic homogenisation and localisation considering boundary layer effects. (English) Zbl 07801044 Int. J. Numer. Methods Eng. 125, No. 1, Article ID e7367, 34 p. (2024). MSC: 74Qxx 74Exx 74Sxx PDFBibTeX XMLCite \textit{X. Pan} et al., Int. J. Numer. Methods Eng. 125, No. 1, Article ID e7367, 34 p. (2024; Zbl 07801044) Full Text: DOI
Postnikov, Eugene B.; Sokolov, Igor M. Subdiffusion in an array of solid obstacles. (English) Zbl 07800693 J. Phys. A, Math. Theor. 57, No. 5, Article ID 055002, 19 p. (2024). MSC: 82-XX 92-XX PDFBibTeX XMLCite \textit{E. B. Postnikov} and \textit{I. M. Sokolov}, J. Phys. A, Math. Theor. 57, No. 5, Article ID 055002, 19 p. (2024; Zbl 07800693) Full Text: DOI OA License
Garg, Swati; Sardar, Bidhan Chandra Homogenization of distributive optimal control problem governed by Stokes system in an oscillating domain. (English) Zbl 07799930 Asymptotic Anal. 136, No. 1, 1-26 (2024). MSC: 35Q35 76D07 35B27 35B05 49K20 49M41 93C20 PDFBibTeX XMLCite \textit{S. Garg} and \textit{B. C. Sardar}, Asymptotic Anal. 136, No. 1, 1--26 (2024; Zbl 07799930) Full Text: DOI
Lu, Zibo; Huang, Jizu A multiscale asymptotic expansion for combustion system with composite materials. (English) Zbl 07797190 J. Comput. Appl. Math. 441, Article ID 115678, 13 p. (2024). MSC: 65Mxx PDFBibTeX XMLCite \textit{Z. Lu} and \textit{J. Huang}, J. Comput. Appl. Math. 441, Article ID 115678, 13 p. (2024; Zbl 07797190) Full Text: DOI
Davoli, Elisa; D’Elia, Lorenza; Ingmanns, Jonas Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions. (English) Zbl 07797098 J. Nonlinear Sci. 34, No. 2, Paper No. 30, 42 p. (2024). MSC: 78M30 78M40 78A48 35R09 35R60 35Q61 PDFBibTeX XMLCite \textit{E. Davoli} et al., J. Nonlinear Sci. 34, No. 2, Paper No. 30, 42 p. (2024; Zbl 07797098) Full Text: DOI arXiv
Zhao, Ang; Li, Pei; Cui, Yehui; Hu, Zhendong; Tan, Vincent Beng Chye Multiscale topology optimization with direct \(\mathrm{FE}^2\). (English) Zbl 07796684 Comput. Methods Appl. Mech. Eng. 419, Article ID 116662, 21 p. (2024). MSC: 74-XX 90-XX PDFBibTeX XMLCite \textit{A. Zhao} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116662, 21 p. (2024; Zbl 07796684) Full Text: DOI
Bellis, Cédric; Ferrier, Renaud Numerical homogenization by an adaptive Fourier spectral method on non-uniform grids using optimal transport. (English) Zbl 07796681 Comput. Methods Appl. Mech. Eng. 419, Article ID 116658, 28 p. (2024). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{C. Bellis} and \textit{R. Ferrier}, Comput. Methods Appl. Mech. Eng. 419, Article ID 116658, 28 p. (2024; Zbl 07796681) Full Text: DOI
Feppon, F. Multiscale topology optimization of modulated fluid microchannels based on asymptotic homogenization. (English) Zbl 07796669 Comput. Methods Appl. Mech. Eng. 419, Article ID 116646, 30 p. (2024). MSC: 35B27 65K10 65N99 35Q93 PDFBibTeX XMLCite \textit{F. Feppon}, Comput. Methods Appl. Mech. Eng. 419, Article ID 116646, 30 p. (2024; Zbl 07796669) Full Text: DOI
Gao, Hongwei; Long, Ziang; Xin, Jack; Yu, Yifeng Existence of an effective burning velocity in a cellular flow for the curvature \(G\)-equation proved using a game analysis. (English) Zbl 07796597 J. Geom. Anal. 34, No. 3, Paper No. 81, 48 p. (2024). MSC: 76V05 76M50 76M45 76N20 PDFBibTeX XMLCite \textit{H. Gao} et al., J. Geom. Anal. 34, No. 3, Paper No. 81, 48 p. (2024; Zbl 07796597) Full Text: DOI arXiv
Cardaliaguet, P.; Forcadel, N. Microscopic derivation of a traffic flow model with a bifurcation. (English) Zbl 07795048 Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 6, 68 p. (2024). MSC: 35R02 35B27 35B32 35F21 35D40 76A30 PDFBibTeX XMLCite \textit{P. Cardaliaguet} and \textit{N. Forcadel}, Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 6, 68 p. (2024; Zbl 07795048) Full Text: DOI arXiv
Ruf, Matthias; Schäffner, Mathias New homogenization results for convex integral functionals and their Euler-Lagrange equations. (English) Zbl 07794363 Calc. Var. Partial Differ. Equ. 63, No. 2, Paper No. 32, 51 p. (2024). MSC: 49J45 49J55 60G10 35J92 35J50 35J70 PDFBibTeX XMLCite \textit{M. Ruf} and \textit{M. Schäffner}, Calc. Var. Partial Differ. Equ. 63, No. 2, Paper No. 32, 51 p. (2024; Zbl 07794363) Full Text: DOI arXiv
Fülöp, Zita Borbála; Ramírez-Torres, Ariel; Penta, Raimondo Multiscale modelling of fluid transport in vascular tumours subjected to electrophoresis anticancer therapies. (English) Zbl 07793876 Z. Angew. Math. Phys. 75, No. 1, Paper No. 9, 23 p. (2024). MSC: 76Z05 76S05 76W05 76M50 92C10 PDFBibTeX XMLCite \textit{Z. B. Fülöp} et al., Z. Angew. Math. Phys. 75, No. 1, Paper No. 9, 23 p. (2024; Zbl 07793876) Full Text: DOI OA License
Orlik, J.; Neusius, D.; Steiner, K.; Krier, M. On the ultimate strength of heterogeneous slender structures based on multi-scale stress decomposition. (English) Zbl 07791671 Int. J. Eng. Sci. 195, Article ID 104010, 23 p. (2024). MSC: 74-XX 68-XX PDFBibTeX XMLCite \textit{J. Orlik} et al., Int. J. Eng. Sci. 195, Article ID 104010, 23 p. (2024; Zbl 07791671) Full Text: DOI
Bou-Rabee, Ahmed; Morfe, Peter S. Hamilton-Jacobi scaling limits of Pareto peeling in 2D. (English) Zbl 07785752 Probab. Theory Relat. Fields 188, No. 1-2, 235-307 (2024). MSC: 35D40 35B27 68Q87 PDFBibTeX XMLCite \textit{A. Bou-Rabee} and \textit{P. S. Morfe}, Probab. Theory Relat. Fields 188, No. 1--2, 235--307 (2024; Zbl 07785752) Full Text: DOI arXiv
Brusca, Giuseppe Cosma Homogenization in perforated domains at the critical scale. (English) Zbl 07784795 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 239, Article ID 113436, 26 p. (2024). MSC: 49J45 35B27 31A15 31B15 PDFBibTeX XMLCite \textit{G. C. Brusca}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 239, Article ID 113436, 26 p. (2024; Zbl 07784795) Full Text: DOI arXiv
Ruan, Hongshi; Ju, Xiaozhe; Chen, Junjun; Liang, Lihua; Xu, Yangjian A clustering-enhanced potential-based reduced order homogenization framework for nonlinear heterogeneous materials. (English) Zbl 07782765 Eur. J. Mech., A, Solids 103, Article ID 105190, 12 p. (2024). MSC: 74Q05 74E05 74B20 74S99 PDFBibTeX XMLCite \textit{H. Ruan} et al., Eur. J. Mech., A, Solids 103, Article ID 105190, 12 p. (2024; Zbl 07782765) Full Text: DOI
Turpin, Léonard; Neggers, Jan; Mendoza, Arturo; Schneider, Julien; Pannier, Yannick; Roux, Stéphane Identification of the effective interface between the homogenized phases of a dual-weave 3D composite. (English) Zbl 07782743 Eur. J. Mech., A, Solids 103, Article ID 105166, 9 p. (2024). MSC: 74-XX PDFBibTeX XMLCite \textit{L. Turpin} et al., Eur. J. Mech., A, Solids 103, Article ID 105166, 9 p. (2024; Zbl 07782743) Full Text: DOI
Lange, Stephan; Warkentin, Andreas; Ricoeur, Andreas Scale transition and residual fields in modeling of polycrystalline ferroelectrics based on the internal energy potential and a Voigt-Reuss approximation. (English) Zbl 07782739 Eur. J. Mech., A, Solids 103, Article ID 105161, 19 p. (2024). MSC: 74-XX PDFBibTeX XMLCite \textit{S. Lange} et al., Eur. J. Mech., A, Solids 103, Article ID 105161, 19 p. (2024; Zbl 07782739) Full Text: DOI
Hamdia, Khader M. A representative volume element model to evaluate the effective properties of flexoelectric nanocomposite. (English) Zbl 07782728 Eur. J. Mech., A, Solids 103, Article ID 105149, 6 p. (2024). MSC: 74-XX PDFBibTeX XMLCite \textit{K. M. Hamdia}, Eur. J. Mech., A, Solids 103, Article ID 105149, 6 p. (2024; Zbl 07782728) Full Text: DOI
Monchiet, V.; Bonnet, G. FFT based iterative schemes for composite conductors with uniform boundary conditions. (English) Zbl 07782725 Eur. J. Mech., A, Solids 103, Article ID 105146, 10 p. (2024). MSC: 74-XX PDFBibTeX XMLCite \textit{V. Monchiet} and \textit{G. Bonnet}, Eur. J. Mech., A, Solids 103, Article ID 105146, 10 p. (2024; Zbl 07782725) Full Text: DOI
Monaldo, Elisabetta; Marfia, Sonia Modelling of damage and plasticity phenomena in 3D printed materials via a multiscale approach. (English) Zbl 07782719 Eur. J. Mech., A, Solids 103, Article ID 105140, 17 p. (2024). MSC: 74-XX PDFBibTeX XMLCite \textit{E. Monaldo} and \textit{S. Marfia}, Eur. J. Mech., A, Solids 103, Article ID 105140, 17 p. (2024; Zbl 07782719) Full Text: DOI
Camilli, Fabio; Marchi, Claudio A continuous dependence estimate for viscous Hamilton-Jacobi equations on networks with applications. (English) Zbl 07782509 Calc. Var. Partial Differ. Equ. 63, No. 1, Paper No. 18, 22 p. (2024). MSC: 35R02 35B27 35B30 35F21 49N70 91A16 PDFBibTeX XMLCite \textit{F. Camilli} and \textit{C. Marchi}, Calc. Var. Partial Differ. Equ. 63, No. 1, Paper No. 18, 22 p. (2024; Zbl 07782509) Full Text: DOI arXiv
Alicandro, Roberto; Braides, Andrea; Cicalese, Marco; Solci, Margherita Discrete variational problems with interfaces. (English) Zbl 07770956 Cambridge Monographs on Applied and Computational Mathematics 40. Cambridge: Cambridge University Press (ISBN 978-1-00-929878-0/hbk; 978-1-00-929876-6/ebook). x, 264 p. (2024). MSC: 49-02 35-02 49Jxx 35B27 49J45 PDFBibTeX XMLCite \textit{R. Alicandro} et al., Discrete variational problems with interfaces. Cambridge: Cambridge University Press (2024; Zbl 07770956) Full Text: DOI
Dong, Rong; Li, Dongsheng Uniform \(C^{1,1}\) estimates of homogenization of elliptic equations in non-divergence form with Dini conditions. (English) Zbl 07770133 Discrete Contin. Dyn. Syst. 44, No. 1, 318-341 (2024). Reviewer: Yao Xu (Beijing) MSC: 35B27 35B65 35J25 PDFBibTeX XMLCite \textit{R. Dong} and \textit{D. Li}, Discrete Contin. Dyn. Syst. 44, No. 1, 318--341 (2024; Zbl 07770133) Full Text: DOI
Díaz, Jesús Ildefonso; Podolskiy, Alexander Vadimovich; Shaposhnikova, Tatiana Ardolionovna Unexpected regionally negative solutions of the homogenization of Poisson equation with dynamic unilateral boundary conditions: critical symmetric particles. (English) Zbl 1526.35030 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 9, 19 p. (2024). MSC: 35B27 35K57 35K91 35R01 47B44 PDFBibTeX XMLCite \textit{J. I. Díaz} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 9, 19 p. (2024; Zbl 1526.35030) Full Text: DOI
Casado-Díaz, J.; Luna-Laynez, M.; Pallares-Martín, A. Asymptotic behavior of the linear elasticity system with varying and unbounded coefficients in a thin beam. (English) Zbl 1526.35054 J. Math. Anal. Appl. 530, No. 1, Article ID 127625, 26 p. (2024). MSC: 35B40 35B27 35J57 74K10 PDFBibTeX XMLCite \textit{J. Casado-Díaz} et al., J. Math. Anal. Appl. 530, No. 1, Article ID 127625, 26 p. (2024; Zbl 1526.35054) Full Text: DOI
Rohan, E.; Lukeš, V. Homogenization of the acoustic transmission on periodically perforated plates interacting with potential mean flow. (English) Zbl 1526.35033 J. Comput. Appl. Math. 438, Article ID 115509, 18 p. (2024). MSC: 35B27 74F10 76M50 76Q05 PDFBibTeX XMLCite \textit{E. Rohan} and \textit{V. Lukeš}, J. Comput. Appl. Math. 438, Article ID 115509, 18 p. (2024; Zbl 1526.35033) Full Text: DOI arXiv
Lin, Zhongshuo; Liu, Haochen; Xie, Hehu Tensor Neural Network Based Machine Learning Method for Elliptic Multiscale Problems. arXiv:2403.16380 Preprint, arXiv:2403.16380 [math.NA] (2024). MSC: 35B27 65L15 68T07 BibTeX Cite \textit{Z. Lin} et al., ``Tensor Neural Network Based Machine Learning Method for Elliptic Multiscale Problems'', Preprint, arXiv:2403.16380 [math.NA] (2024) Full Text: arXiv OA License
Kosygina, Elena; Yilmaz, Atilla Homogenization of nonconvex viscous Hamilton-Jacobi equations in stationary ergodic media in one dimension. arXiv:2403.15963 Preprint, arXiv:2403.15963 [math.AP] (2024). MSC: 35B27 35F21 60G10 BibTeX Cite \textit{E. Kosygina} and \textit{A. Yilmaz}, ``Homogenization of nonconvex viscous Hamilton-Jacobi equations in stationary ergodic media in one dimension'', Preprint, arXiv:2403.15963 [math.AP] (2024) Full Text: arXiv OA License
Wiedemann, David; Peter, Malte A. A Darcy law with memory by homogenisation for evolving microstructure. arXiv:2403.08166 Preprint, arXiv:2403.08166 [math.AP] (2024). MSC: 76M50 35B27 76S05 35R37 76D07 BibTeX Cite \textit{D. Wiedemann} and \textit{M. A. Peter}, ``A Darcy law with memory by homogenisation for evolving microstructure'', Preprint, arXiv:2403.08166 [math.AP] (2024) Full Text: arXiv OA License
Casado-Díaz, Juan An elliptic problem in dimension N with a varying drift term bounded in \(L^N\). arXiv:2403.03115 Preprint, arXiv:2403.03115 [math.AP] (2024). MSC: 35B27 BibTeX Cite \textit{J. Casado-Díaz}, ``An elliptic problem in dimension N with a varying drift term bounded in $L^N$'', Preprint, arXiv:2403.03115 [math.AP] (2024) Full Text: arXiv OA License
Sau, Federico Tiny fluctuations of the averaging process around its degenerate steady state. arXiv:2403.02032 Preprint, arXiv:2403.02032 [math.PR] (2024). MSC: 60K35 35B27 BibTeX Cite \textit{F. Sau}, ``Tiny fluctuations of the averaging process around its degenerate steady state'', Preprint, arXiv:2403.02032 [math.PR] (2024) Full Text: arXiv OA License
Klawonn, Axel; Lanser, Martin; Mager, Lucas; Rege, Ameya Computational homogenization for aerogel-like polydisperse open-porous materials using neural network–based surrogate models on the microscale. arXiv:2403.00571 Preprint, arXiv:2403.00571 [math.NA] (2024). MSC: 68T07 65N30 74Q05 BibTeX Cite \textit{A. Klawonn} et al., ``Computational homogenization for aerogel-like polydisperse open-porous materials using neural network--based surrogate models on the microscale'', Preprint, arXiv:2403.00571 [math.NA] (2024) Full Text: arXiv OA License
Clozeau, Nicolas; Gloria, Antoine; Qi, Siguang Quantitative homogenization for log-normal coefficients. arXiv:2403.00168 Preprint, arXiv:2403.00168 [math.AP] (2024). MSC: 35R60 35B27 35B65 60F05 60H07 BibTeX Cite \textit{N. Clozeau} et al., ``Quantitative homogenization for log-normal coefficients'', Preprint, arXiv:2403.00168 [math.AP] (2024) Full Text: arXiv OA License
Gloria, Antoine; Qi, Siguang Quantitative homogenization for log-normal coefficients via Malliavin calculus: the one-dimensional case. arXiv:2402.19182 Preprint, arXiv:2402.19182 [math.AP] (2024). MSC: 35R60 35B27 35B65 60H07 BibTeX Cite \textit{A. Gloria} and \textit{S. Qi}, ``Quantitative homogenization for log-normal coefficients via Malliavin calculus: the one-dimensional case'', Preprint, arXiv:2402.19182 [math.AP] (2024) Full Text: arXiv OA License
Braides, Andrea; Maso, Gianni Dal; Bris, Claude Le A closure theorem for \(\Gamma\)-convergence and H-convergence with applications to non-periodic homogenization. arXiv:2402.19031 Preprint, arXiv:2402.19031 [math.AP] (2024). MSC: 49J45 35B27 35B20 35B40 35B35 BibTeX Cite \textit{A. Braides} et al., ``A closure theorem for $\Gamma$-convergence and H-convergence with applications to non-periodic homogenization'', Preprint, arXiv:2402.19031 [math.AP] (2024) Full Text: arXiv OA License
Khrabustovskyi, Andrii The Neumann sieve problem revisited. arXiv:2402.16451 Preprint, arXiv:2402.16451 [math.AP] (2024). MSC: 35B27 35B40 35P05 47A55 BibTeX Cite \textit{A. Khrabustovskyi}, ``The Neumann sieve problem revisited'', Preprint, arXiv:2402.16451 [math.AP] (2024) Full Text: arXiv OA License
Righi, Robert; Shen, Zhongwei Dirichlet Problems in Perforated Domains. arXiv:2402.13021 Preprint, arXiv:2402.13021 [math.AP] (2024). MSC: 35Q35 35B27 76D07 BibTeX Cite \textit{R. Righi} and \textit{Z. Shen}, ``Dirichlet Problems in Perforated Domains'', Preprint, arXiv:2402.13021 [math.AP] (2024) Full Text: arXiv OA License
Qi, Kunlun; Wang, Li; Watson, Alexander B. Radiative transport in a periodic structure with band crossings. arXiv:2402.06828 Preprint, arXiv:2402.06828 [math-ph] (2024). MSC: 82C70 35Q99 35R60 74A40 74E05 74Q10 BibTeX Cite \textit{K. Qi} et al., ``Radiative transport in a periodic structure with band crossings'', Preprint, arXiv:2402.06828 [math-ph] (2024) Full Text: arXiv OA License
Albin, Nathan; Nesi, Vincenzo; Palombaro, Mariapia Differential inclusions, polycrystals and stability under lamination. arXiv:2402.06401 Preprint, arXiv:2402.06401 [math.AP] (2024). MSC: 35B27 49J45 BibTeX Cite \textit{N. Albin} et al., ``Differential inclusions, polycrystals and stability under lamination'', Preprint, arXiv:2402.06401 [math.AP] (2024) Full Text: arXiv OA License
Fuchs, Jakob; Röger, Matthias Mathematical analysis of a mesoscale model for multiphase membranes. arXiv:2402.05069 Preprint, arXiv:2402.05069 [math.AP] (2024). MSC: 74K15 49J45 49Q20 74L15 74Q05 BibTeX Cite \textit{J. Fuchs} and \textit{M. Röger}, ``Mathematical analysis of a mesoscale model for multiphase membranes'', Preprint, arXiv:2402.05069 [math.AP] (2024) Full Text: arXiv OA License
Klimsiak, Tomasz; Komorowski, Tomasz; Marino, Lorenzo Homogenization of Lévy type operators with random, ergodic coefficients. arXiv:2402.04752 Preprint, arXiv:2402.04752 [math.PR] (2024). MSC: 35B27 60H15 60H20 BibTeX Cite \textit{T. Klimsiak} et al., ``Homogenization of L\'evy type operators with random, ergodic coefficients'', Preprint, arXiv:2402.04752 [math.PR] (2024) Full Text: arXiv OA License
Franck, Tchinda; Joel, Fotso Tachago; Joseph, Dongho Stochastic-periodic Homogenization of Non-stationary Incompressible Navier-Stokes Type Equations. arXiv:2402.03679 Preprint, arXiv:2402.03679 [math.AP] (2024). MSC: 35R60 76D05 35B27 35B40 BibTeX Cite \textit{T. Franck} et al., ``Stochastic-periodic Homogenization of Non-stationary Incompressible Navier-Stokes Type Equations'', Preprint, arXiv:2402.03679 [math.AP] (2024) Full Text: arXiv OA License
Chen, Hongtao; Fu, Rui; Wang, Yifan; Xie, Hehu Solving High-dimensional Parametric Elliptic Equation Using Tensor Neural Network. arXiv:2402.00040 Preprint, arXiv:2402.00040 [math.NA] (2024). MSC: 35B27 60H15 60H35 68T07 BibTeX Cite \textit{H. Chen} et al., ``Solving High-dimensional Parametric Elliptic Equation Using Tensor Neural Network'', Preprint, arXiv:2402.00040 [math.NA] (2024) Full Text: arXiv OA License
Xin, Jack; Yu, Yifeng; Ronney, Paul Lagrangian, Game Theoretic and PDE Methods for Averaging G-equations in Turbulent Combustion: Existence and Beyond. arXiv:2401.14575 Preprint, arXiv:2401.14575 [math.AP] (2024). MSC: 35B27 35B40 35F21 35Qxx BibTeX Cite \textit{J. Xin} et al., ``Lagrangian, Game Theoretic and PDE Methods for Averaging G-equations in Turbulent Combustion: Existence and Beyond'', Preprint, arXiv:2401.14575 [math.AP] (2024) Full Text: arXiv OA License
Dang, Thuyen; Gorb, Yuliya; Bolaños, Silvia Jiménez Homogenization of high-contrast dielectric elastomer composites. arXiv:2401.11279 Preprint, arXiv:2401.11279 [math.AP] (2024). MSC: 35B27 35J47 74A40 74F15 BibTeX Cite \textit{T. Dang} et al., ``Homogenization of high-contrast dielectric elastomer composites'', Preprint, arXiv:2401.11279 [math.AP] (2024) Full Text: arXiv OA License
Gu, Chenlin; Mourrat, Jean-Christophe; Nitzschner, Maximilian Quantitative equilibrium fluctuations for interacting particle systems. arXiv:2401.10080 Preprint, arXiv:2401.10080 [math.PR] (2024). MSC: 82C22 35B27 60K35 BibTeX Cite \textit{C. Gu} et al., ``Quantitative equilibrium fluctuations for interacting particle systems'', Preprint, arXiv:2401.10080 [math.PR] (2024) Full Text: arXiv OA License
Bardi, Martino Asymptotic properties of non-coercive Hamiltonians with drift. arXiv:2401.09147 Preprint, arXiv:2401.09147 [math.OC] (2024). MSC: 35F21 49L25 35B27 37J50 35D40 BibTeX Cite \textit{M. Bardi}, ``Asymptotic properties of non-coercive Hamiltonians with drift'', Preprint, arXiv:2401.09147 [math.OC] (2024) Full Text: arXiv OA License
Jang, Jiwoong Periodic homogenization of geometric equations without perturbed correctors. arXiv:2401.07949 Preprint, arXiv:2401.07949 [math.AP] (2024). MSC: 35B10 35B27 35B40 35D40 BibTeX Cite \textit{J. Jang}, ``Periodic homogenization of geometric equations without perturbed correctors'', Preprint, arXiv:2401.07949 [math.AP] (2024) Full Text: arXiv OA License
Cicalese, Marco; Heilmann, Tim Surfactants in the Two Gradient Theory of Phase Transitions. arXiv:2401.03840 Preprint, arXiv:2401.03840 [math.AP] (2024). MSC: 49J45 74Q05 49J10 74B15 BibTeX Cite \textit{M. Cicalese} and \textit{T. Heilmann}, ``Surfactants in the Two Gradient Theory of Phase Transitions'', Preprint, arXiv:2401.03840 [math.AP] (2024) Full Text: arXiv OA License
Franchi, Bruno; Lorenzani, Silvia Homogenization of Smoluchowski-type equations with transmission boundary conditions. arXiv:2401.03270 Preprint, arXiv:2401.03270 [math.AP] (2024). MSC: 35K55 80M40 92B05 BibTeX Cite \textit{B. Franchi} and \textit{S. Lorenzani}, ``Homogenization of Smoluchowski-type equations with transmission boundary conditions'', Preprint, arXiv:2401.03270 [math.AP] (2024) Full Text: arXiv OA License
Orlik, Julia; Andrä, Heiko; Staub, Sarah Operator perturbation for fourth order elliptic equations with variable coefficients. arXiv:2401.02743 Preprint, arXiv:2401.02743 [math.NA] (2024). MSC: 35B27 35J86 47H05 BibTeX Cite \textit{J. Orlik} et al., ``Operator perturbation for fourth order elliptic equations with variable coefficients'', Preprint, arXiv:2401.02743 [math.NA] (2024) Full Text: arXiv OA License
Colvez, M.; Cottereau, R. High frequency attenuation of elastic waves transmitted at an angle through a randomly-fluctuating horizontally-layered Slab. (English) Zbl 07825033 Wave Motion 123, Article ID 103231, 19 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{M. Colvez} and \textit{R. Cottereau}, Wave Motion 123, Article ID 103231, 19 p. (2023; Zbl 07825033) Full Text: DOI
Kamalinia, H.; Tie, B. Numerical and analytical studies of attenuation coefficient in 2D matrix-inclusion composites with randomly distributed circular inclusions. (English) Zbl 07825027 Wave Motion 123, Article ID 103225, 20 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{H. Kamalinia} and \textit{B. Tie}, Wave Motion 123, Article ID 103225, 20 p. (2023; Zbl 07825027) Full Text: DOI
Avila, Jake; Cabarrubias, Bituin Periodic unfolding method for domains with very small inclusions. (English) Zbl 07823651 Electron. J. Differ. Equ. 2023, Paper No. 85, 37 p. (2023). MSC: 35B27 35M32 35Q79 PDFBibTeX XMLCite \textit{J. Avila} and \textit{B. Cabarrubias}, Electron. J. Differ. Equ. 2023, Paper No. 85, 37 p. (2023; Zbl 07823651) Full Text: Link
Ferreira, Rita; Fonseca, Irene; Venkatraman, Raghavendra Variational homogenization: old and new. (English) Zbl 07823083 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 5. Sections 9–11. Berlin: European Mathematical Society (EMS). 3724-3755 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 49J20 35B27 35B25 49S05 49-02 74E15 PDFBibTeX XMLCite \textit{R. Ferreira} et al., in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 5. Sections 9--11. Berlin: European Mathematical Society (EMS). 3724--3755 (2023; Zbl 07823083) Full Text: DOI OA License
Lamberti, Pier Domenico; Zaccaron, Michele Spectral stability of the curlcurl operator via uniform Gaffney inequalities on perturbed electromagnetic cavities. (English) Zbl 07817653 Math. Eng. (Springfield) 5, No. 1, Paper No. 18, 31 p. (2023). MSC: 35-XX 78-XX PDFBibTeX XMLCite \textit{P. D. Lamberti} and \textit{M. Zaccaron}, Math. Eng. (Springfield) 5, No. 1, Paper No. 18, 31 p. (2023; Zbl 07817653) Full Text: DOI arXiv
Ma, Hongru; Tang, Yanbin Homogenization of a semilinear elliptic problem in a thin composite domain with an imperfect interface. (English) Zbl 07816059 Math. Methods Appl. Sci. 46, No. 18, 19329-19350 (2023). MSC: 35B27 35J62 35M13 PDFBibTeX XMLCite \textit{H. Ma} and \textit{Y. Tang}, Math. Methods Appl. Sci. 46, No. 18, 19329--19350 (2023; Zbl 07816059) Full Text: DOI
Piatnitski, Andrey; Shamaev, Alexey; Zhizhina, Elena Mathematical multi-scale model of water purification. (English) Zbl 07815996 Math. Methods Appl. Sci. 46, No. 17, 18185-18202 (2023). MSC: 35B27 35B40 47D07 60J28 PDFBibTeX XMLCite \textit{A. Piatnitski} et al., Math. Methods Appl. Sci. 46, No. 17, 18185--18202 (2023; Zbl 07815996) Full Text: DOI arXiv OA License