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
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
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
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
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
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
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
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
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
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
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
Yang, Zihao; Wang, Xintong; Guan, Xiaofei; Huang, Jizu; Wu, Xixin A normalizing field flow induced two-stage stochastic homogenization method for random composite materials. (English) Zbl 07783560 Commun. Comput. Phys. 34, No. 3, 787-812 (2023). MSC: 65M12 74Q05 PDFBibTeX XMLCite \textit{Z. Yang} et al., Commun. Comput. Phys. 34, No. 3, 787--812 (2023; Zbl 07783560) Full Text: DOI
Boudaoud, Arezki; Kiss, Annamaria; Ptashnyk, Mariya Multiscale modeling and analysis of growth of plant tissues. (English) Zbl 07780341 SIAM J. Appl. Math. 83, No. 6, 2354-2389 (2023). MSC: 35B27 74S05 92C80 65M60 PDFBibTeX XMLCite \textit{A. Boudaoud} et al., SIAM J. Appl. Math. 83, No. 6, 2354--2389 (2023; Zbl 07780341) Full Text: DOI arXiv
Kröpfl, Fabian; Maier, Roland; Peterseim, Daniel Neural network approximation of coarse-scale surrogates in numerical homogenization. (English) Zbl 1527.68206 Multiscale Model. Simul. 21, No. 4, 1457-1485 (2023). MSC: 68T07 35A35 35J15 65N30 PDFBibTeX XMLCite \textit{F. Kröpfl} et al., Multiscale Model. Simul. 21, No. 4, 1457--1485 (2023; Zbl 1527.68206) Full Text: DOI arXiv OA License
Yim, Jaeryun; Sheen, Dongwoo; Sim, Imbo \(P_1\)-nonconforming quadrilateral finite element space with periodic boundary conditions. II: Application to the nonconforming heterogeneous multiscale method. (English) Zbl 07777356 Numer. Methods Partial Differ. Equations 39, No. 4, 3309-3331 (2023). MSC: 65N30 65N15 65D30 65F10 65F05 35B27 35B05 35A01 35A02 PDFBibTeX XMLCite \textit{J. Yim} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 3309--3331 (2023; Zbl 07777356) Full Text: DOI arXiv
Liu, Chein-Shan; Qiu, Lin Solving the 2D and 3D nonlinear inverse source problems of elliptic type partial differential equations by a homogenization function method. (English) Zbl 07776963 Numer. Methods Partial Differ. Equations 39, No. 2, 1287-1298 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{C.-S. Liu} and \textit{L. Qiu}, Numer. Methods Partial Differ. Equations 39, No. 2, 1287--1298 (2023; Zbl 07776963) Full Text: DOI
Frei, Stefan; Heinlein, Alexander Towards parallel time-stepping for the numerical simulation of atherosclerotic plaque growth. (English) Zbl 07771264 J. Comput. Phys. 491, Article ID 112347, 28 p. (2023). MSC: 65Mxx 92Cxx 74Fxx PDFBibTeX XMLCite \textit{S. Frei} and \textit{A. Heinlein}, J. Comput. Phys. 491, Article ID 112347, 28 p. (2023; Zbl 07771264) Full Text: DOI arXiv
Schneider, Matti On the effectiveness of the Moulinec-Suquet discretization for composite materials. (English) Zbl 07770642 Int. J. Numer. Methods Eng. 124, No. 14, 3191-3218 (2023). MSC: 74S25 74Q05 74E30 65N12 PDFBibTeX XMLCite \textit{M. Schneider}, Int. J. Numer. Methods Eng. 124, No. 14, 3191--3218 (2023; Zbl 07770642) Full Text: DOI OA License
Schneider, Matti; Wicht, Daniel Superconvergence of the effective Cauchy stress in computational homogenization of inelastic materials. (English) Zbl 07769192 Int. J. Numer. Methods Eng. 124, No. 4, 959-978 (2023). MSC: 65Mxx 74Qxx 65Nxx PDFBibTeX XMLCite \textit{M. Schneider} and \textit{D. Wicht}, Int. J. Numer. Methods Eng. 124, No. 4, 959--978 (2023; Zbl 07769192) Full Text: DOI OA License
Ferrier, Renaud; Bellis, Cédric A posteriori error estimations and convergence criteria in fast Fourier transform-based computational homogenization. (English) Zbl 07769188 Int. J. Numer. Methods Eng. 124, No. 4, 834-863 (2023). MSC: 65Nxx 74Qxx 74Sxx PDFBibTeX XMLCite \textit{R. Ferrier} and \textit{C. Bellis}, Int. J. Numer. Methods Eng. 124, No. 4, 834--863 (2023; Zbl 07769188) Full Text: DOI
Chen, Yanping; Liu, Xinliang; Zeng, Jiaoyan; Zhang, Lei Optimal control for multiscale elliptic equations with rough coefficients. (English) Zbl 07750345 J. Comput. Math. 41, No. 5, 841-865 (2023). MSC: 65M06 65M12 65M15 65M55 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Comput. Math. 41, No. 5, 841--865 (2023; Zbl 07750345) Full Text: DOI arXiv
Tian, Wenlong; Qi, Lehua Unified periodic boundary condition for homogenizing the thermo-mechanical properties of composites. (English) Zbl 1525.74172 Appl. Math. Modelling 121, 252-269 (2023). MSC: 74Q05 74E30 65M60 PDFBibTeX XMLCite \textit{W. Tian} and \textit{L. Qi}, Appl. Math. Modelling 121, 252--269 (2023; Zbl 1525.74172) Full Text: DOI
Wang, Mingchuan; Zhang, Kai; Chen, Cai; Liu, Weijie An explicit dynamic FFT method for homogenizing heterogeneous solids under large deformations. (English) Zbl 07749666 Int. J. Eng. Sci. 192, Article ID 103930, 21 p. (2023). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{M. Wang} et al., Int. J. Eng. Sci. 192, Article ID 103930, 21 p. (2023; Zbl 07749666) Full Text: DOI
Fallahpour, Merlin; Harbrecht, Helmut Shape optimization for composite materials in linear elasticity. (English) Zbl 1522.65207 Optim. Eng. 24, No. 3, 2115-2143 (2023). MSC: 65N30 65K10 74P10 74B10 74E30 74N15 49Q05 49Q12 35B27 35B36 74S05 35Q74 PDFBibTeX XMLCite \textit{M. Fallahpour} and \textit{H. Harbrecht}, Optim. Eng. 24, No. 3, 2115--2143 (2023; Zbl 1522.65207) Full Text: DOI
Gai, Yundong; Xing, Jian; Hu, Ping Efficient Matlab implementation of NURBS-based IGA and material design using isogeometric topology optimization. (English) Zbl 1525.65144 Optim. Eng. 24, No. 3, 1773-1808 (2023). MSC: 65Y15 65D07 65D15 74P15 PDFBibTeX XMLCite \textit{Y. Gai} et al., Optim. Eng. 24, No. 3, 1773--1808 (2023; Zbl 1525.65144) Full Text: DOI
Görtz, Morgan; Ljung, Per; Målqvist, Axel Multiscale methods for solving wave equations on spatial networks. (English) Zbl 07737579 Comput. Methods Appl. Mech. Eng. 410, Article ID 116008, 24 p. (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{M. Görtz} et al., Comput. Methods Appl. Mech. Eng. 410, Article ID 116008, 24 p. (2023; Zbl 07737579) Full Text: DOI arXiv
To, Quy-Dong; Bonnet, Guy Boundary-volume Lippmann Schwinger formulation and fast iteration schemes for numerical homogenization of conductive composites. Cases of arbitrary contrasts and Kapitza interface. (English) Zbl 07736334 Comput. Methods Appl. Mech. Eng. 415, Article ID 116221, 21 p. (2023). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{Q.-D. To} and \textit{G. Bonnet}, Comput. Methods Appl. Mech. Eng. 415, Article ID 116221, 21 p. (2023; Zbl 07736334) Full Text: DOI
Abuelnasr, Belal; Stinchcombe, Adam R. A multi-scale simulation of retinal physiology. (English) Zbl 1518.92002 Math. Biosci. 363, Article ID 109053, 13 p. (2023). MSC: 92-08 92C30 65N06 35B27 92-10 PDFBibTeX XMLCite \textit{B. Abuelnasr} and \textit{A. R. Stinchcombe}, Math. Biosci. 363, Article ID 109053, 13 p. (2023; Zbl 1518.92002) Full Text: DOI arXiv
Han, Jihun; Lee, Yoonsang A neural network approach for homogenization of multiscale problems. (English) Zbl 1518.65129 Multiscale Model. Simul. 21, No. 2, 716-734 (2023). MSC: 65N30 65C05 68T07 PDFBibTeX XMLCite \textit{J. Han} and \textit{Y. Lee}, Multiscale Model. Simul. 21, No. 2, 716--734 (2023; Zbl 1518.65129) Full Text: DOI arXiv
Ammosov, Dmitry; Stepanov, Sergei; Spiridonov, Denis; Li, Wenyuan Multicontinuum homogenization for Richards’ equation: the derivation and numerical experiments. (English) Zbl 1527.65094 Russ. J. Numer. Anal. Math. Model. 38, No. 4, 207-218 (2023). Reviewer: Michael Jung (Dresden) MSC: 65M60 65M06 65N30 76S05 76T10 74F10 74L10 35Q35 PDFBibTeX XMLCite \textit{D. Ammosov} et al., Russ. J. Numer. Anal. Math. Model. 38, No. 4, 207--218 (2023; Zbl 1527.65094) Full Text: DOI
Pemba, Drainne Jualix Bambi; Ondami, Bienvenu Finite volume approximation of a class of two-dimensional parabolic equations with discontinuous and highly oscillating coefficients. (English) Zbl 07727267 Int. J. Numer. Methods Appl. 23, No. 1, 51-65 (2023). MSC: 65M08 PDFBibTeX XMLCite \textit{D. J. B. Pemba} and \textit{B. Ondami}, Int. J. Numer. Methods Appl. 23, No. 1, 51--65 (2023; Zbl 07727267) Full Text: DOI
Dong, Zhaonan; Hauck, Moritz; Maier, Roland An improved high-order method for elliptic multiscale problems. (English) Zbl 07725052 SIAM J. Numer. Anal. 61, No. 4, 1918-1937 (2023). MSC: 65N30 65N12 35J30 PDFBibTeX XMLCite \textit{Z. Dong} et al., SIAM J. Numer. Anal. 61, No. 4, 1918--1937 (2023; Zbl 07725052) Full Text: DOI arXiv
Garegnani, Giacomo; Zanoni, Andrea Robust estimation of effective diffusions from multiscale data. (English) Zbl 1518.60072 Commun. Math. Sci. 21, No. 2, 405-435 (2023). MSC: 60J60 62F12 62M05 62M20 65C30 PDFBibTeX XMLCite \textit{G. Garegnani} and \textit{A. Zanoni}, Commun. Math. Sci. 21, No. 2, 405--435 (2023; Zbl 1518.60072) Full Text: DOI arXiv
Geredeli, Pelin G.; Givens, Carson; Zytoon, Ahmed Numerical approximations for the null controllers of structurally damped plate dynamics. (English) Zbl 1524.65534 Int. J. Numer. Anal. Model. 20, No. 3, 329-352 (2023). MSC: 65M60 65N06 35A15 74K20 35Q74 93B05 74Q10 74B10 PDFBibTeX XMLCite \textit{P. G. Geredeli} et al., Int. J. Numer. Anal. Model. 20, No. 3, 329--352 (2023; Zbl 1524.65534) Full Text: DOI arXiv
Qiu, Lin; Ma, Xingdan; Qin, Qing-Hua A novel meshfree method based on spatio-temporal homogenization functions for one-dimensional fourth-order fractional diffusion-wave equations. (English) Zbl 07708820 Appl. Math. Lett. 142, Article ID 108657, 7 p. (2023). MSC: 65Mxx 65Nxx 35Rxx PDFBibTeX XMLCite \textit{L. Qiu} et al., Appl. Math. Lett. 142, Article ID 108657, 7 p. (2023; Zbl 07708820) Full Text: DOI
Bhattacharya, Kaushik; Liu, Burigede; Stuart, Andrew; Trautner, Margaret Learning Markovian homogenized models in viscoelasticity. (English) Zbl 1524.74078 Multiscale Model. Simul. 21, No. 2, 641-679 (2023). MSC: 74D05 74Q15 35J47 65M32 74S60 PDFBibTeX XMLCite \textit{K. Bhattacharya} et al., Multiscale Model. Simul. 21, No. 2, 641--679 (2023; Zbl 1524.74078) Full Text: DOI arXiv
Abdulle, Assyr; Arjmand, Doghonay; Paganoni, Edoardo An elliptic local problem with exponential decay of the resonance error for numerical homogenization. (English) Zbl 1518.35042 Multiscale Model. Simul. 21, No. 2, 513-541 (2023). MSC: 35B27 35A35 35J25 65L12 74Q10 PDFBibTeX XMLCite \textit{A. Abdulle} et al., Multiscale Model. Simul. 21, No. 2, 513--541 (2023; Zbl 1518.35042) Full Text: DOI arXiv
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
Ma, Qiang; Wu, Yuting; Bi, Lin; Cui, Junzhi; Wang, Hongyu; Chen, Tingyan Multiscale asymptotic analysis and algorithm for the quadratic eigenvalue problem in composite materials. (English) Zbl 1524.35061 Comput. Appl. Math. 42, No. 5, Paper No. 219, 35 p. (2023). MSC: 35B27 65H17 35P20 74Q05 PDFBibTeX XMLCite \textit{Q. Ma} et al., Comput. Appl. Math. 42, No. 5, Paper No. 219, 35 p. (2023; Zbl 1524.35061) Full Text: DOI
Stepanov, Sergei; Spiridonov, Denis; Mai, Tina Prediction of numerical homogenization using deep learning for the Richards equation. (English) Zbl 1512.65217 J. Comput. Appl. Math. 424, Article ID 114980, 23 p. (2023). MSC: 65M60 65M12 68T07 PDFBibTeX XMLCite \textit{S. Stepanov} et al., J. Comput. Appl. Math. 424, Article ID 114980, 23 p. (2023; Zbl 1512.65217) Full Text: DOI arXiv
Eckhardt, Daniel; Verfürth, Barbara Fully discrete heterogeneous multiscale method for parabolic problems with multiple spatial and temporal scales. (English) Zbl 1516.65085 BIT 63, No. 2, Paper No. 35, 26 p. (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65M15 65M12 35K15 35B27 PDFBibTeX XMLCite \textit{D. Eckhardt} and \textit{B. Verfürth}, BIT 63, No. 2, Paper No. 35, 26 p. (2023; Zbl 1516.65085) Full Text: DOI arXiv
Bertin, Nicolas; Zhou, Fei Accelerating discrete dislocation dynamics simulations with graph neural networks. (English) Zbl 07690241 J. Comput. Phys. 487, Article ID 112180, 12 p. (2023). MSC: 74Axx 65Yxx 74Qxx PDFBibTeX XMLCite \textit{N. Bertin} and \textit{F. Zhou}, J. Comput. Phys. 487, Article ID 112180, 12 p. (2023; Zbl 07690241) Full Text: DOI arXiv
Huang, Lei; Nie, Jiawang; Yuan, Ya-Xiang Homogenization for polynomial optimization with unbounded sets. (English) Zbl 1519.90160 Math. Program. 200, No. 1 (A), 105-145 (2023). MSC: 90C23 65K05 90C26 PDFBibTeX XMLCite \textit{L. Huang} et al., Math. Program. 200, No. 1 (A), 105--145 (2023; Zbl 1519.90160) Full Text: DOI arXiv
Sapucaia, Victor W.; Pereira, Andre M. B.; Leiderman, Ricardo Pixel-based boundary element method for computing effective thermal conductivity of heterogeneous materials. (English) Zbl 1521.74351 Eng. Anal. Bound. Elem. 149, 298-308 (2023). MSC: 74S15 65M38 65K10 65M55 80A19 PDFBibTeX XMLCite \textit{V. W. Sapucaia} et al., Eng. Anal. Bound. Elem. 149, 298--308 (2023; Zbl 1521.74351) Full Text: DOI
Feijóo, Raúl A.; Blanco, Pablo J.; de Souza Neto, Eduardo A.; Sánchez, Pablo J. Novel multiscale models in a multicontinuum approach to divide and conquer strategies. (English) Zbl 1524.65920 Comput. Appl. Math. 42, No. 4, Paper No. 143, 39 p. (2023). MSC: 65N55 74Q05 35R05 65N50 PDFBibTeX XMLCite \textit{R. A. Feijóo} et al., Comput. Appl. Math. 42, No. 4, Paper No. 143, 39 p. (2023; Zbl 1524.65920) Full Text: DOI
Gladbach, Peter; Kopfer, Eva; Maas, Jan; Portinale, Lorenzo Homogenisation of dynamical optimal transport on periodic graphs. (English) Zbl 1514.49023 Calc. Var. Partial Differ. Equ. 62, No. 5, Paper No. 143, 75 p. (2023). Reviewer: Nicolò De Ponti (Trieste) MSC: 49Q22 49M25 49J45 65K10 74Q10 PDFBibTeX XMLCite \textit{P. Gladbach} et al., Calc. Var. Partial Differ. Equ. 62, No. 5, Paper No. 143, 75 p. (2023; Zbl 1514.49023) Full Text: DOI arXiv
Ladecký, Martin; Leute, Richard J.; Falsafi, Ali; Pultarová, Ivana; Pastewka, Lars; Junge, Till; Zeman, Jan An optimal preconditioned FFT-accelerated finite element solver for homogenization. (English) Zbl 1511.76085 Appl. Math. Comput. 446, Article ID 127835, 19 p. (2023). MSC: 76M99 65T50 74Q05 PDFBibTeX XMLCite \textit{M. Ladecký} et al., Appl. Math. Comput. 446, Article ID 127835, 19 p. (2023; Zbl 1511.76085) Full Text: DOI
Nafiri, S. Uniform polynomial decay and approximation in control of a family of abstract thermoelastic models. (English) Zbl 1511.35039 J. Dyn. Control Syst. 29, No. 1, 209-227 (2023). MSC: 35B40 35B27 35K90 35L90 74F05 93C20 93D20 65M06 65M60 65M70 PDFBibTeX XMLCite \textit{S. Nafiri}, J. Dyn. Control Syst. 29, No. 1, 209--227 (2023; Zbl 1511.35039) Full Text: DOI
Ye, Changqing; Chung, Eric T. Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics. (English) Zbl 1510.74129 BIT 63, No. 1, Paper No. 11, 26 p. (2023). MSC: 74S20 74S25 74S05 74Q15 74M25 65N12 PDFBibTeX XMLCite \textit{C. Ye} and \textit{E. T. Chung}, BIT 63, No. 1, Paper No. 11, 26 p. (2023; Zbl 1510.74129) Full Text: DOI
Abdulle, Assyr; Garegnani, Giacomo; Pavliotis, Grigorios A.; Stuart, Andrew M.; Zanoni, Andrea Drift estimation of multiscale diffusions based on filtered data. (English) Zbl 07654468 Found. Comput. Math. 23, No. 1, 33-84 (2023). MSC: 62F15 65C30 62M05 74Q10 PDFBibTeX XMLCite \textit{A. Abdulle} et al., Found. Comput. Math. 23, No. 1, 33--84 (2023; Zbl 07654468) Full Text: DOI arXiv
To, Quy-Dong; Bonnet, Guy Fourier transform approach to numerical homogenization of periodic media containing sharp insulating and superconductive cracks. (English) Zbl 07644176 Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115710, 18 p. (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{Q.-D. To} and \textit{G. Bonnet}, Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115710, 18 p. (2023; Zbl 07644176) Full Text: DOI
Yadav, K. S.; Dalal, D. C. A multiscale computational study of the effects of fluid flow and drug metabolism on drug delivery. (English) Zbl 1524.76335 Comput. Math. Appl. 130, 58-68 (2023). MSC: 76M99 92C37 65M70 76M20 35B27 76Z05 PDFBibTeX XMLCite \textit{K. S. Yadav} and \textit{D. C. Dalal}, Comput. Math. Appl. 130, 58--68 (2023; Zbl 1524.76335) Full Text: DOI
Efendiev, Yalchin; Leung, Wing Tat Multicontinuum homogenization and its relation to nonlocal multicontinuum theories. (English) Zbl 07640533 J. Comput. Phys. 474, Article ID 111761, 20 p. (2023). MSC: 65Nxx 76Mxx 76Sxx PDFBibTeX XMLCite \textit{Y. Efendiev} and \textit{W. T. Leung}, J. Comput. Phys. 474, Article ID 111761, 20 p. (2023; Zbl 07640533) Full Text: DOI arXiv
Nikolopoulos, Christos; Eden, Michael; Muntean, Adrian Multiscale simulation of colloids ingressing porous layers with evolving internal structure: a computational study. (English) Zbl 1504.35043 GEM. Int. J. Geomath. 14, Paper No. 1, 19 p. (2023). MSC: 35B27 35K57 76S05 65M50 PDFBibTeX XMLCite \textit{C. Nikolopoulos} et al., GEM. Int. J. Geomath. 14, Paper No. 1, 19 p. (2023; Zbl 1504.35043) Full Text: DOI
Portinale, Lorenzo; Quattrocchi, Filippo Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs. arXiv:2311.17284 Preprint, arXiv:2311.17284 [math.OC] (2023). MSC: 49Q22 49M25 49J45 65K10 74Q10 BibTeX Cite \textit{L. Portinale} and \textit{F. Quattrocchi}, ``Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs'', Preprint, arXiv:2311.17284 [math.OC] (2023) Full Text: arXiv OA License
Brenner, Susanne C.; Garay, Jose C.; Sung, Li-yeng A Multiscale Finite Element Method for an Elliptic Distributed Optimal Control Problem with Rough Coefficients and Control Constraints. arXiv:2309.16062 Preprint, arXiv:2309.16062 [math.NA] (2023). MSC: 65N30 65N55 65K10 49M41 35B27 BibTeX Cite \textit{S. C. Brenner} et al., ``A Multiscale Finite Element Method for an Elliptic Distributed Optimal Control Problem with Rough Coefficients and Control Constraints'', Preprint, arXiv:2309.16062 [math.NA] (2023) Full Text: arXiv OA License
Nafiri, Salem Approximation and Homogenization of Thermoelastic wave model. arXiv:2306.16358 Preprint, arXiv:2306.16358 [math.AP] (2023). MSC: 35B27 93C20 93D20 65M06 65M60 65M70 BibTeX Cite \textit{S. Nafiri}, ``Approximation and Homogenization of Thermoelastic wave model'', Preprint, arXiv:2306.16358 [math.AP] (2023) Full Text: arXiv OA License
Dondl, Patrick; Luo, Yongming; Neukamm, Stefan; Wolff-Vorbeck, Steve Efficient uncertainty quantification for mechanical properties of randomly perturbed elastic rods. arXiv:2304.08785 Preprint, arXiv:2304.08785 [math.AP] (2023). MSC: 74Q05 74B05 65C05 65N30 BibTeX Cite \textit{P. Dondl} et al., ``Efficient uncertainty quantification for mechanical properties of randomly perturbed elastic rods'', Preprint, arXiv:2304.08785 [math.AP] (2023) Full Text: arXiv OA License
Ren, Shuhui; Na, Chengwei; Meng, Guangwei; Nie, Bin; Zhou, Liming Errata to: “Stabilized node-based smoothed radial point interpolation method for micromechanical analysis of the magneto-electro-elastic structures in thermal environment”. (English) Zbl 07781001 Math. Methods Appl. Sci. 45, No. 9, 5631-5632 (2022). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{S. Ren} et al., Math. Methods Appl. Sci. 45, No. 9, 5631--5632 (2022; Zbl 07781001) Full Text: DOI
Schneider, Matti Voxel-based finite elements with hourglass control in fast Fourier transform-based computational homogenization. (English) Zbl 07769265 Int. J. Numer. Methods Eng. 123, No. 24, 6286-6313 (2022). MSC: 74Sxx 74Qxx 65Nxx PDFBibTeX XMLCite \textit{M. Schneider}, Int. J. Numer. Methods Eng. 123, No. 24, 6286--6313 (2022; Zbl 07769265) Full Text: DOI OA License
Schneider, Matti Superaccurate effective elastic moduli via postprocessing in computational homogenization. (English) Zbl 07768018 Int. J. Numer. Methods Eng. 123, No. 17, 4119-4135 (2022). MSC: 74Q15 65Txx 74Sxx PDFBibTeX XMLCite \textit{M. Schneider}, Int. J. Numer. Methods Eng. 123, No. 17, 4119--4135 (2022; Zbl 07768018) Full Text: DOI OA License
Geoffroy-Donders, Perle; Allaire, Grégoire; Michailidis, Georgios; Pantz, Olivier Coupled optimization of macroscopic structures and lattice infill. (English) Zbl 07767893 Int. J. Numer. Methods Eng. 123, No. 13, 2963-2985 (2022). MSC: 74Pxx 49Qxx 65Kxx PDFBibTeX XMLCite \textit{P. Geoffroy-Donders} et al., Int. J. Numer. Methods Eng. 123, No. 13, 2963--2985 (2022; Zbl 07767893) Full Text: DOI
Danoun, Aymen; Pruliére, Etienne; Chemisky, Yves Hybrid approach to predict the effective properties of heterogeneous materials using artificial neural networks and micromechanical models. (English) Zbl 07767247 Int. J. Numer. Methods Eng. 123, No. 3, 794-819 (2022). MSC: 74Sxx 65Nxx PDFBibTeX XMLCite \textit{A. Danoun} et al., Int. J. Numer. Methods Eng. 123, No. 3, 794--819 (2022; Zbl 07767247) Full Text: DOI
Kaiser, Tobias; Remmers, Joris J. C.; Geers, Marc G. D. An adaptive wavelet-based collocation method for solving multiscale problems in continuum mechanics. (English) Zbl 1509.74056 Comput. Mech. 70, No. 6, 1335-1357 (2022). MSC: 74S99 74E05 74Q99 74M25 65T60 PDFBibTeX XMLCite \textit{T. Kaiser} et al., Comput. Mech. 70, No. 6, 1335--1357 (2022; Zbl 1509.74056) Full Text: DOI
Leitenmaier, Lena; Runborg, Olof Heterogeneous multiscale methods for the Landau-Lifshitz equation. (English) Zbl 1503.65175 J. Sci. Comput. 93, No. 3, Paper No. 76, 33 p. (2022). MSC: 65M06 65N06 82D40 35B27 35B05 78A25 35Q60 PDFBibTeX XMLCite \textit{L. Leitenmaier} and \textit{O. Runborg}, J. Sci. Comput. 93, No. 3, Paper No. 76, 33 p. (2022; Zbl 1503.65175) Full Text: DOI arXiv
Wu, Zhizhang; Zhang, Zhiwen Convergence analysis of the localized orthogonal decomposition method for the semiclassical Schrödinger equations with multiscale potentials. (English) Zbl 1503.65275 J. Sci. Comput. 93, No. 3, Paper No. 73, 30 p. (2022). MSC: 65M99 65M12 65M15 65K10 49M41 35B05 35B65 74Q10 35Q41 PDFBibTeX XMLCite \textit{Z. Wu} and \textit{Z. Zhang}, J. Sci. Comput. 93, No. 3, Paper No. 73, 30 p. (2022; Zbl 1503.65275) Full Text: DOI arXiv
Maier, Bernhard; Verfürth, Barbara Numerical upscaling for wave equations with time-dependent multiscale coefficients. (English) Zbl 1508.65132 Multiscale Model. Simul. 20, No. 4, 1169-1190 (2022). Reviewer: Giovanni Nastasi (Catania) MSC: 65M60 65M06 65N30 65M15 35L05 PDFBibTeX XMLCite \textit{B. Maier} and \textit{B. Verfürth}, Multiscale Model. Simul. 20, No. 4, 1169--1190 (2022; Zbl 1508.65132) Full Text: DOI arXiv
Chen, Shi; Li, Qin; Lu, Jianfeng; Wright, Stephen J. Manifold learning and nonlinear homogenization. (English) Zbl 1498.65218 Multiscale Model. Simul. 20, No. 3, 1093-1126 (2022). MSC: 65N99 65N55 PDFBibTeX XMLCite \textit{S. Chen} et al., Multiscale Model. Simul. 20, No. 3, 1093--1126 (2022; Zbl 1498.65218) Full Text: DOI arXiv
Andrianov, Nikolai Upscaling of two-phase discrete fracture simulations using a convolutional neural network. (English) Zbl 1496.86002 Comput. Geosci. 26, No. 5, 1237-1259 (2022). MSC: 86-08 76S05 76M12 76M50 76M55 68T07 65M60 74-10 74R10 74S05 PDFBibTeX XMLCite \textit{N. Andrianov}, Comput. Geosci. 26, No. 5, 1237--1259 (2022; Zbl 1496.86002) Full Text: DOI
Leung, Wing Tat; Lin, Guang; Zhang, Zecheng NH-PINN: neural homogenization-based physics-informed neural network for multiscale problems. (English) Zbl 07599595 J. Comput. Phys. 470, Article ID 111539, 19 p. (2022). MSC: 65Nxx 35Bxx 35Jxx PDFBibTeX XMLCite \textit{W. T. Leung} et al., J. Comput. Phys. 470, Article ID 111539, 19 p. (2022; Zbl 07599595) Full Text: DOI arXiv
Gu, Chenlin An efficient algorithm for solving elliptic problems on percolation clusters. (English) Zbl 07598989 Ann. Appl. Probab. 32, No. 4, 2755-2810 (2022). MSC: 65-XX 35B27 60K35 60K37 65N15 82B43 PDFBibTeX XMLCite \textit{C. Gu}, Ann. Appl. Probab. 32, No. 4, 2755--2810 (2022; Zbl 07598989) Full Text: DOI arXiv
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen Computing effective diffusivities in 3D time-dependent chaotic flows with a convergent Lagrangian numerical method. (English) Zbl 07598348 ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1521-1544 (2022). MSC: 65-XX 35B27 37A30 60H35 65M12 65M75 PDFBibTeX XMLCite \textit{Z. Wang} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1521--1544 (2022; Zbl 07598348) Full Text: DOI
Yu, Xiuchen; Hu, Guanghui; Lu, Wangtao; Rathsfeld, Andreas PML and high-accuracy boundary integral equation solver for wave scattering by a locally defected periodic surface. (English) Zbl 07596674 SIAM J. Numer. Anal. 60, No. 5, 2592-2625 (2022). MSC: 65-XX 35B27 78A40 78M15 PDFBibTeX XMLCite \textit{X. Yu} et al., SIAM J. Numer. Anal. 60, No. 5, 2592--2625 (2022; Zbl 07596674) Full Text: DOI arXiv
Stamm, Benjamin; Theisen, Lambert A quasi-optimal factorization preconditioner for periodic Schrödinger eigenstates in anisotropically expanding domains. (English) Zbl 07589941 SIAM J. Numer. Anal. 60, No. 5, 2508-2537 (2022). MSC: 65N25 65F15 65N30 35B27 35B40 PDFBibTeX XMLCite \textit{B. Stamm} and \textit{L. Theisen}, SIAM J. Numer. Anal. 60, No. 5, 2508--2537 (2022; Zbl 07589941) Full Text: DOI arXiv
Blanc, Xavier; Le Bris, Claude Homogenization in a periodic medium… or not. An introduction. (Homogénéisation en milieu périodique… ou non. Une introduction.) (French) Zbl 07581840 Mathématiques et Applications 88. Cham: Springer (ISBN 978-3-031-12800-4/pbk; 978-3-031-12801-1/ebook). xviii, 488 p. (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35-02 35B27 35B40 35C20 35R60 49J45 65M60 PDFBibTeX XMLCite \textit{X. Blanc} and \textit{C. Le Bris}, Homogénéisation en milieu périodique{\dots} ou non. Une introduction. Cham: Springer (2022; Zbl 07581840) Full Text: DOI
Kazeev, Vladimir; Oseledets, Ivan; Rakhuba, Maxim V.; Schwab, Christoph Quantized tensor FEM for multiscale problems: diffusion problems in two and three dimensions. (English) Zbl 1496.65220 Multiscale Model. Simul. 20, No. 3, 893-935 (2022). MSC: 65N30 65N50 65N15 65N22 35B27 15A69 PDFBibTeX XMLCite \textit{V. Kazeev} et al., Multiscale Model. Simul. 20, No. 3, 893--935 (2022; Zbl 1496.65220) Full Text: DOI arXiv
Chen, Jingrun; Du, Rui; Ma, Zetao; Sun, Zhiwei; Zhang, Lei On the multiscale Landau-Lifshitz-Gilbert equation: two-scale convergence and stability analysis. (English) Zbl 1496.35037 Multiscale Model. Simul. 20, No. 2, 835-856 (2022). MSC: 35B27 35Q60 65N12 78M40 82D40 PDFBibTeX XMLCite \textit{J. Chen} et al., Multiscale Model. Simul. 20, No. 2, 835--856 (2022; Zbl 1496.35037) Full Text: DOI
Legoll, Frédéric; Rothé, Pierre-Loïk; Le Bris, Claude; Hetmaniuk, Ulrich An MsFEM approach enriched using Legendre polynomials. (English) Zbl 1496.65224 Multiscale Model. Simul. 20, No. 2, 798-834 (2022). MSC: 65N30 65N12 65N15 35B27 35B05 35B34 PDFBibTeX XMLCite \textit{F. Legoll} et al., Multiscale Model. Simul. 20, No. 2, 798--834 (2022; Zbl 1496.65224) Full Text: DOI arXiv
Freese, Philip The heterogeneous multiscale method for dispersive Maxwell systems. (English) Zbl 1493.65150 Multiscale Model. Simul. 20, No. 2, 769-797 (2022). MSC: 65M60 78M40 35B27 65M12 65M15 PDFBibTeX XMLCite \textit{P. Freese}, Multiscale Model. Simul. 20, No. 2, 769--797 (2022; Zbl 1493.65150) Full Text: DOI arXiv
Ljung, Per; Maier, Roland; Målqvist, Axel A space-time multiscale method for parabolic problems. (English) Zbl 1493.65158 Multiscale Model. Simul. 20, No. 2, 714-740 (2022). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{P. Ljung} et al., Multiscale Model. Simul. 20, No. 2, 714--740 (2022; Zbl 1493.65158) Full Text: DOI arXiv
Hauck, Moritz; Peterseim, Daniel Multi-resolution localized orthogonal decomposition for Helmholtz problems. (English) Zbl 1493.65204 Multiscale Model. Simul. 20, No. 2, 657-684 (2022). MSC: 65N30 35J05 65N12 65N15 PDFBibTeX XMLCite \textit{M. Hauck} and \textit{D. Peterseim}, Multiscale Model. Simul. 20, No. 2, 657--684 (2022; Zbl 1493.65204) Full Text: DOI arXiv
Jin, Zeyu; Li, Ruo High-order numerical homogenization for dissipative ordinary differential equations. (English) Zbl 1493.34161 Multiscale Model. Simul. 20, No. 2, 583-617 (2022). MSC: 34E13 65L04 PDFBibTeX XMLCite \textit{Z. Jin} and \textit{R. Li}, Multiscale Model. Simul. 20, No. 2, 583--617 (2022; Zbl 1493.34161) Full Text: DOI arXiv
Maclean, John; Bunder, J. E.; Kevrekidis, I. G.; Roberts, A. J. Adaptively detect and accurately resolve macro-scale shocks in an efficient equation-free multiscale simulation. (English) Zbl 1496.65123 SIAM J. Sci. Comput. 44, No. 4, A2557-A2581 (2022). MSC: 65M06 65M12 35B27 PDFBibTeX XMLCite \textit{J. Maclean} et al., SIAM J. Sci. Comput. 44, No. 4, A2557--A2581 (2022; Zbl 1496.65123) Full Text: DOI arXiv
Ljulj, Matko; Schmidt, Kersten; Semin, Adrien; Tambača, Josip Homogenization of the time-dependent heat equation on planar one-dimensional periodic structures. (English) Zbl 1496.80012 Appl. Anal. 101, No. 12, 4046-4075 (2022). MSC: 80M40 80M10 80M20 35K05 65M60 65M06 65N30 35A01 35A02 35R02 35Q79 PDFBibTeX XMLCite \textit{M. Ljulj} et al., Appl. Anal. 101, No. 12, 4046--4075 (2022; Zbl 1496.80012) Full Text: DOI arXiv
Adams, Brian; Li, Kevin; Meklachi, Taoufik Spectral analysis of scattering resonances with application on high-contrast nanospheres. (English) Zbl 1494.78021 Lett. Math. Phys. 112, No. 4, Paper No. 70, 13 p. (2022). MSC: 78M35 78A45 35J05 35B27 35B34 65R20 65N80 PDFBibTeX XMLCite \textit{B. Adams} et al., Lett. Math. Phys. 112, No. 4, Paper No. 70, 13 p. (2022; Zbl 1494.78021) Full Text: DOI arXiv
Guo, Jun; Feng, Minfu A robust and mass conservative virtual element method for linear three-field poroelasticity. (English) Zbl 1502.65122 J. Sci. Comput. 92, No. 3, Paper No. 95, 32 p. (2022). MSC: 65M60 65M06 65N30 65M15 74F10 74L10 74Q10 74S05 74S20 35Q74 PDFBibTeX XMLCite \textit{J. Guo} and \textit{M. Feng}, J. Sci. Comput. 92, No. 3, Paper No. 95, 32 p. (2022; Zbl 1502.65122) Full Text: DOI
Park, Jun Sur Richard; Zhu, Xueyu Physics-informed neural networks for learning the homogenized coefficients of multiscale elliptic equations. (English) Zbl 07568534 J. Comput. Phys. 467, Article ID 111420, 19 p. (2022). MSC: 35Bxx 65Nxx 35Rxx PDFBibTeX XMLCite \textit{J. S. R. Park} and \textit{X. Zhu}, J. Comput. Phys. 467, Article ID 111420, 19 p. (2022; Zbl 07568534) Full Text: DOI arXiv
Ju, X.; Mahnken, R.; Xu, Y.; Liang, L. NTFA-enabled goal-oriented adaptive space-time finite elements for micro-heterogeneous elastoplasticity problems. (English) Zbl 1507.74079 Comput. Methods Appl. Mech. Eng. 398, Article ID 115199, 29 p. (2022). MSC: 74C05 65N30 74S05 PDFBibTeX XMLCite \textit{X. Ju} et al., Comput. Methods Appl. Mech. Eng. 398, Article ID 115199, 29 p. (2022; Zbl 1507.74079) Full Text: DOI
Gorynina, Olga; Le Bris, Claude; Legoll, Frédéric Mathematical analysis of a coupling method for the practical computation of homogenized coefficients. (English) Zbl 1497.35135 ESAIM, Control Optim. Calc. Var. 28, Paper No. 44, 47 p. (2022). MSC: 35J15 35B27 74Q15 65M08 PDFBibTeX XMLCite \textit{O. Gorynina} et al., ESAIM, Control Optim. Calc. Var. 28, Paper No. 44, 47 p. (2022; Zbl 1497.35135) Full Text: DOI arXiv
Aiyappan, S.; Pettersson, K. Homogenization of a locally periodic oscillating boundary. (English) Zbl 1494.65094 Appl. Math. Optim. 86, No. 2, Paper No. 14, 34 p. (2022). MSC: 65N30 35B27 35C20 35J05 35B40 PDFBibTeX XMLCite \textit{S. Aiyappan} and \textit{K. Pettersson}, Appl. Math. Optim. 86, No. 2, Paper No. 14, 34 p. (2022; Zbl 1494.65094) Full Text: DOI arXiv
Yang, Zihao; Huang, Jizu; Feng, Xiaobing; Guan, Xiaofei An efficient multimodes Monte Carlo homogenization method for random materials. (English) Zbl 1492.65334 SIAM J. Sci. Comput. 44, No. 3, A1752-A1774 (2022). MSC: 65N30 65C05 65M12 65M15 74A40 74Q05 35B05 35B27 35J15 35R60 PDFBibTeX XMLCite \textit{Z. Yang} et al., SIAM J. Sci. Comput. 44, No. 3, A1752--A1774 (2022; Zbl 1492.65334) Full Text: DOI arXiv
Madureira, Alexandre L. Book review of: S. I. Repin and S. A. Sauter, Accuracy of mathematical models. Dimension reduction, homogenization, and simplification. (English) Zbl 1492.00022 Bull. Am. Math. Soc., New Ser. 59, No. 3, 447-451 (2022). MSC: 00A17 35-02 35J20 35J50 35J60 35J88 49M29 65N15 65N85 74K20 35A35 35B27 PDFBibTeX XMLCite \textit{A. L. Madureira}, Bull. Am. Math. Soc., New Ser. 59, No. 3, 447--451 (2022; Zbl 1492.00022) Full Text: DOI
Gärttner, Stephan; Frolkovič, Peter; Knabner, Peter; Ray, Nadja Efficiency of micro-macro models for reactive two-mineral systems. (English) Zbl 1507.35177 Multiscale Model. Simul. 20, No. 1, 433-461 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 35Q74 76S05 76V05 74F10 74L10 65M60 65M06 65N30 65N50 65M12 65H10 65F08 65F10 35C20 35B27 68T07 76M10 76M20 74S05 74S20 PDFBibTeX XMLCite \textit{S. Gärttner} et al., Multiscale Model. Simul. 20, No. 1, 433--461 (2022; Zbl 1507.35177) Full Text: DOI
Feppon, Florian; Ammari, Habib Analysis of a Monte-Carlo Nystrom method. (English) Zbl 1507.65300 SIAM J. Numer. Anal. 60, No. 3, 1226-1250 (2022). MSC: 65R20 45A05 65C05 47B80 78M40 PDFBibTeX XMLCite \textit{F. Feppon} and \textit{H. Ammari}, SIAM J. Numer. Anal. 60, No. 3, 1226--1250 (2022; Zbl 1507.65300) Full Text: DOI