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
Goranci, Gramoz; Henzinger, Monika; Peng, Pan Dynamic effective resistances and approximate Schur complement on separable graphs. (English) Zbl 1524.68231 Azar, Yossi (ed.) et al., 26th annual European symposium on algorithms, ESA 2018, August 20–22, 2018, Helsinki, Finland. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 112, Article 40, 15 p. (2018). MSC: 68R10 05C85 68W25 68W40 PDFBibTeX XMLCite \textit{G. Goranci} et al., LIPIcs -- Leibniz Int. Proc. Inform. 112, Article 40, 15 p. (2018; Zbl 1524.68231) Full Text: DOI arXiv
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)
Kohlenbach, Ulrich Proof-theoretic methods in nonlinear analysis. (English) Zbl 1445.03062 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 61-82 (2018). MSC: 03F10 03F35 47H10 47H20 47H25 PDFBibTeX XMLCite \textit{U. Kohlenbach}, in: Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 61--82 (2018; Zbl 1445.03062) Full Text: DOI Link
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