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
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
Düll, Wolf-Patrick; Engl, Dominik; Kreisbeck, Carolin A variational perspective on auxetic metamaterials of checkerboard-type. arXiv:2303.16159 Preprint, arXiv:2303.16159 [math.AP] (2023). MSC: 49J45 35B40 74E30 74Q20 BibTeX Cite \textit{W.-P. Düll} et al., ``A variational perspective on auxetic metamaterials of checkerboard-type'', Preprint, arXiv:2303.16159 [math.AP] (2023) Full Text: arXiv OA License
Guo, Xiaoqin; Tran, Hung V. Optimal convergence rates in stochastic homogenization in a balanced random environment. arXiv:2301.01267 Preprint, arXiv:2301.01267 [math.PR] (2023). MSC: 35J15 35J25 35K10 35K20 60G50 60J65 60K37 74Q20 76M50 BibTeX Cite \textit{X. Guo} and \textit{H. V. Tran}, ``Optimal convergence rates in stochastic homogenization in a balanced random environment'', Preprint, arXiv:2301.01267 [math.PR] (2023) Full Text: arXiv OA License
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
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
Guo, Xiaoqin; Tran, Hung V. Stochastic integrability of heat-kernel bounds for random walks in a balanced random environment. arXiv:2209.14293 Preprint, arXiv:2209.14293 [math.PR] (2022). MSC: 35J15 35J25 35K10 35K20 60G50 60J65 60K37 74Q20 76M50 BibTeX Cite \textit{X. Guo} and \textit{H. V. Tran}, ``Stochastic integrability of heat-kernel bounds for random walks in a balanced random environment'', Preprint, arXiv:2209.14293 [math.PR] (2022) Full Text: arXiv OA License
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
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
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
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
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
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
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
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
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
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
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
Braides, Andrea; Kreutz, Leonard Optimal design of mixtures of ferromagnetic interactions. arXiv:1610.06455 Preprint, arXiv:1610.06455 [math.OC] (2016). MSC: 35B27 74Q20 82B20 49J45 49Q20 BibTeX Cite \textit{A. Braides} and \textit{L. Kreutz}, ``Optimal design of mixtures of ferromagnetic interactions'', Preprint, arXiv:1610.06455 [math.OC] (2016) Full Text: arXiv OA License
López-Ruiz, G.; Bravo-Castillero, J.; Brenner, R.; Cruz, M. E.; Guinovart-Díaz, R.; Pérez-Fernández, L. D.; Rodríguez-Ramos, R. Improved variational bounds for conductive periodic composites with 3D microstructures and nonuniform thermal resistance. (English) Zbl 1331.49015 Z. Angew. Math. Phys. 66, No. 5, 2881-2898 (2015). MSC: 49J45 49M30 35B27 35J20 35J25 PDFBibTeX XMLCite \textit{G. López-Ruiz} et al., Z. Angew. Math. Phys. 66, No. 5, 2881--2898 (2015; Zbl 1331.49015) Full Text: DOI
Kochmann, Dennis M.; Milton, Graeme W. Rigorous bounds on the effective moduli of composites and inhomogeneous bodies with negative-stiffness phases. (English) Zbl 1328.74075 J. Mech. Phys. Solids 71, 46-63 (2014). MSC: 74Q20 35B35 74E30 74B05 70G75 35Q74 PDFBibTeX XMLCite \textit{D. M. Kochmann} and \textit{G. W. Milton}, J. Mech. Phys. Solids 71, 46--63 (2014; Zbl 1328.74075) Full Text: DOI arXiv Link
Almog, Y. The Clausius-Mossotti formula in a dilute random medium with fixed volume fraction. (English) Zbl 1326.74111 Multiscale Model. Simul. 12, No. 4, 1777-1799 (2014). Reviewer: Vladimir Mityushev (Kraków) MSC: 74Q15 74E35 35B27 35R60 60K37 74Q20 35Q74 PDFBibTeX XMLCite \textit{Y. Almog}, Multiscale Model. Simul. 12, No. 4, 1777--1799 (2014; Zbl 1326.74111) Full Text: DOI
Braides, Andrea Optimal bounds for periodic mixtures of ferromagnetic interactions. arXiv:1406.7152 Preprint, arXiv:1406.7152 [math-ph] (2014). MSC: 35B27 49J45 78M40 74Q20 BibTeX Cite \textit{A. Braides}, ``Optimal bounds for periodic mixtures of ferromagnetic interactions'', Preprint, arXiv:1406.7152 [math-ph] (2014) Full Text: arXiv OA License
Abdulle, Assyr; Bai, Yun Adaptive reduced basis finite element heterogeneous multiscale method. (English) Zbl 1286.74088 Comput. Methods Appl. Mech. Eng. 257, 203-220 (2013). MSC: 74Q20 74S05 65N30 35B27 PDFBibTeX XMLCite \textit{A. Abdulle} and \textit{Y. Bai}, Comput. Methods Appl. Mech. Eng. 257, 203--220 (2013; Zbl 1286.74088) Full Text: DOI Link
Camar-Eddine, Mohamed; Pater, Laurent Homogenization of high-contrast and non symmetric conductivities for non periodic columnar structures. (English) Zbl 1304.35060 Netw. Heterog. Media 8, No. 4, 913-941 (2013). MSC: 35B27 35J25 74Q20 PDFBibTeX XMLCite \textit{M. Camar-Eddine} and \textit{L. Pater}, Netw. Heterog. Media 8, No. 4, 913--941 (2013; Zbl 1304.35060) Full Text: DOI arXiv
Peterseim, Daniel Robustness of finite element simulations in densely packed random particle composites. (English) Zbl 1262.35010 Netw. Heterog. Media 7, No. 1, 113-126 (2012). MSC: 35A35 35B65 35J05 65N15 65N30 74Q20 PDFBibTeX XMLCite \textit{D. Peterseim}, Netw. Heterog. Media 7, No. 1, 113--126 (2012; Zbl 1262.35010) Full Text: DOI
Zeng, Guang; Huang, Jin; Cheng, Pan; Li, Zi-Cai A new stability analysis for solving biharmonic equations by finite difference methods. (English) Zbl 1259.65163 J. Comput. Anal. Appl. 14, No. 1, 113-131 (2012). Reviewer: Gunther Schmidt (Berlin) MSC: 65N12 65N06 65N15 35J40 PDFBibTeX XMLCite \textit{G. Zeng} et al., J. Comput. Anal. Appl. 14, No. 1, 113--131 (2012; Zbl 1259.65163)
Conca, Carlos; Martín, Jo San; Smaranda, Loredana; Vanninathan, Muthusamy Burnett coefficients and laminates. (English) Zbl 1250.35025 Appl. Anal. 91, No. 6, 1155-1176 (2012). MSC: 35B27 74Q20 78M40 PDFBibTeX XMLCite \textit{C. Conca} et al., Appl. Anal. 91, No. 6, 1155--1176 (2012; Zbl 1250.35025) Full Text: DOI Link
Gloria, Antoine; Neukamm, Stefan Commutability of homogenization and linearization at identity in finite elasticity and applications. (English. French summary) Zbl 1256.35004 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 6, 941-964 (2011). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 49J45 74E30 74Q05 74Q20 PDFBibTeX XMLCite \textit{A. Gloria} and \textit{S. Neukamm}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 6, 941--964 (2011; Zbl 1256.35004) Full Text: DOI
Gloria, Antoine Reduction of the resonance error. I: Approximation of homogenized coefficients. (English) Zbl 1233.35016 Math. Models Methods Appl. Sci. 21, No. 8, 1601-1630 (2011). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 65M15 PDFBibTeX XMLCite \textit{A. Gloria}, Math. Models Methods Appl. Sci. 21, No. 8, 1601--1630 (2011; Zbl 1233.35016) Full Text: DOI
Briane, Marc; Milton, Graeme W. New bounds on strong field magneto-transport in multiphase columnar composites. (English) Zbl 1230.35013 SIAM J. Appl. Math. 70, No. 8, 3272-3286 (2010). Reviewer: Marco Codegone (Torino) MSC: 35B27 74Q20 35Q60 PDFBibTeX XMLCite \textit{M. Briane} and \textit{G. W. Milton}, SIAM J. Appl. Math. 70, No. 8, 3272--3286 (2010; Zbl 1230.35013) Full Text: DOI
Li, Zi-Cai; Lu, Tzon-Tzer; Wei, Yimin Effective condition number of Trefftz methods for biharmonic equations with crack singularities. (English) Zbl 1224.65108 Numer. Linear Algebra Appl. 16, No. 2, 145-171 (2009). Reviewer: Karel Segeth (Praha) MSC: 65F20 65N35 35J40 15A12 PDFBibTeX XMLCite \textit{Z.-C. Li} et al., Numer. Linear Algebra Appl. 16, No. 2, 145--171 (2009; Zbl 1224.65108) Full Text: DOI
Novikov, Alexei A discrete network approximation for effective conductivity of non-Ohmic high-contrast composites. (English) Zbl 1208.74008 Commun. Math. Sci. 7, No. 3, 719-740 (2009). MSC: 74A40 74F15 35Q74 94C05 PDFBibTeX XMLCite \textit{A. Novikov}, Commun. Math. Sci. 7, No. 3, 719--740 (2009; Zbl 1208.74008) Full Text: DOI Euclid
Conca, Carlos; Martín, Jorge San; Smaranda, Loredana; Vanninathan, Muthusamy Optimal bounds on dispersion coefficient in one-dimensional periodic media. (English) Zbl 1180.35075 Math. Models Methods Appl. Sci. 19, No. 9, 1743-1764 (2009). MSC: 35B27 74Q20 78M40 PDFBibTeX XMLCite \textit{C. Conca} et al., Math. Models Methods Appl. Sci. 19, No. 9, 1743--1764 (2009; Zbl 1180.35075) Full Text: DOI
Tartar, Luc The general theory of homogenization. A personalized introduction. (English) Zbl 1188.35004 Lecture Notes of the Unione Matematica Italiana 7. Berlin: Springer (ISBN 978-3-642-05194-4/pbk; 978-3-642-05195-1/ebook). xvii, 470 p. (2009). Reviewer: Alain Brillard (Riedisheim) MSC: 35-02 35B27 49-02 49J45 74Q20 PDFBibTeX XMLCite \textit{L. Tartar}, The general theory of homogenization. A personalized introduction. Berlin: Springer (2009; Zbl 1188.35004) Full Text: DOI
Li, Z.-C.; Huang, H.-T. Effective condition number for numerical partial differential equations. (English) Zbl 1212.65410 Numer. Linear Algebra Appl. 15, No. 7, 575-594 (2008). MSC: 65N06 65F05 65F35 65N15 35J05 PDFBibTeX XMLCite \textit{Z. C. Li} and \textit{H. T. Huang}, Numer. Linear Algebra Appl. 15, No. 7, 575--594 (2008; Zbl 1212.65410) Full Text: DOI
Sviercoski, R. F.; Winter, C. L.; Warrick, A. W. Analytical approximation for the generalized Laplace equation with step function coefficient. (English) Zbl 1152.35108 SIAM J. Appl. Math. 68, No. 5, 1268-1281 (2008). MSC: 35R05 35B27 74Q20 76S05 35A35 76M20 65N15 PDFBibTeX XMLCite \textit{R. F. Sviercoski} et al., SIAM J. Appl. Math. 68, No. 5, 1268--1281 (2008; Zbl 1152.35108) Full Text: DOI
Hanke, Martin On real-time algorithms for the location search of discontinuous conductivities with one measurement. (English) Zbl 1153.35403 Inverse Probl. 24, No. 4, Article ID 045005, 16 p. (2008). MSC: 35R30 65N21 65N15 78A48 PDFBibTeX XMLCite \textit{M. Hanke}, Inverse Probl. 24, No. 4, Article ID 045005, 16 p. (2008; Zbl 1153.35403) Full Text: DOI Link
Wildey, T.; Tavener, S.; Estep, D. A posteriori error estimation of approximate boundary fluxes. (English) Zbl 1152.65106 Commun. Numer. Methods Eng. 24, No. 6, 421-434 (2008). MSC: 65N15 35J25 65N30 PDFBibTeX XMLCite \textit{T. Wildey} et al., Commun. Numer. Methods Eng. 24, No. 6, 421--434 (2008; Zbl 1152.65106) Full Text: DOI
Antonić, Nenad; Vrdoljak, Marko Gradient methods for multiple state optimal design problems. (English) Zbl 1180.35067 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 53, No. 2, 177-187 (2007). MSC: 35B27 49K20 49M05 65K10 74Q20 35Q93 PDFBibTeX XMLCite \textit{N. Antonić} and \textit{M. Vrdoljak}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 53, No. 2, 177--187 (2007; Zbl 1180.35067) Full Text: DOI
Vrdoljak, Marko Multiple state optimal design problems and Hashin-Shtrikman bounds. (English) Zbl 1165.35317 Int. J. Pure Appl. Math. 42, No. 3, 319-324 (2007). MSC: 35B27 49J45 49K20 65K10 74Q20 PDFBibTeX XMLCite \textit{M. Vrdoljak}, Int. J. Pure Appl. Math. 42, No. 3, 319--324 (2007; Zbl 1165.35317)
Lukkassen, Dag; Meidell, Annette; Wall, Peter Bounds on the effective behavior of a homogenized generalized Reynolds equation. (English) Zbl 1141.35327 J. Funct. Spaces Appl. 5, No. 2, 133-150 (2007). MSC: 35B27 74Q20 35B45 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., J. Funct. Spaces Appl. 5, No. 2, 133--150 (2007; Zbl 1141.35327) Full Text: DOI
Ou, Miao-Jung On the representation formula for well-ordered elastic composites: a convergence of measure approach. (English) Zbl 1146.74045 Math. Methods Appl. Sci. 30, No. 7, 851-860 (2007). MSC: 74Q20 74E30 35J55 35C15 30G99 PDFBibTeX XMLCite \textit{M.-J. Ou}, Math. Methods Appl. Sci. 30, No. 7, 851--860 (2007; Zbl 1146.74045) Full Text: DOI
Du, Xiangdong; Ostoja-Starzewski, Martin On the scaling from statistical to representative volume element in thermoelasticity of random materials. (English) Zbl 1204.74006 Netw. Heterog. Media 1, No. 2, 259-274 (2006). MSC: 74A60 35R60 74F05 74Q05 74Q20 PDFBibTeX XMLCite \textit{X. Du} and \textit{M. Ostoja-Starzewski}, Netw. Heterog. Media 1, No. 2, 259--274 (2006; Zbl 1204.74006) Full Text: DOI
Ammari, Habib; Capdeboscq, Yves; Kang, Hyeonbae; Kim, Eunjoo; Lim, Mikyoung Attainability by simply connected domains of optimal bounds for the polarization tensor. (English) Zbl 1105.74036 Eur. J. Appl. Math. 17, No. 2, 201-219 (2006). MSC: 74Q20 74F15 78A48 35B27 PDFBibTeX XMLCite \textit{H. Ammari} et al., Eur. J. Appl. Math. 17, No. 2, 201--219 (2006; Zbl 1105.74036) Full Text: DOI
Birnir, Björn; Wellander, Niklas Homogenized Maxwell’s equations: a model for ceramic varistors. (English) Zbl 1235.35270 Discrete Contin. Dyn. Syst., Ser. B 6, No. 2, 257-272 (2006). MSC: 35Q74 35Q61 35B27 35J25 78A30 PDFBibTeX XMLCite \textit{B. Birnir} and \textit{N. Wellander}, Discrete Contin. Dyn. Syst., Ser. B 6, No. 2, 257--272 (2006; Zbl 1235.35270) Full Text: DOI
Ohlberger, Mario A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems. (English) Zbl 1090.65128 Multiscale Model. Simul. 4, No. 1, 88-114 (2005). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 65N15 35A35 35B27 65N30 74Q15 PDFBibTeX XMLCite \textit{M. Ohlberger}, Multiscale Model. Simul. 4, No. 1, 88--114 (2005; Zbl 1090.65128) Full Text: DOI
Berlyand, Leonid; Borcea, Liliana; Panchenko, Alexander Network approximation for effective viscosity of concentrated suspensions with complex geometry. (English) Zbl 1130.76082 SIAM J. Math. Anal. 36, No. 5, 1580-1628 (2005). MSC: 76T20 35Q72 PDFBibTeX XMLCite \textit{L. Berlyand} et al., SIAM J. Math. Anal. 36, No. 5, 1580--1628 (2005; Zbl 1130.76082) Full Text: DOI
Byström, Johan; Engström, Jonas; Wall, Peter Bounds and numerical results for homogenized degenerated \(p\)-Poisson equations. (English) Zbl 1099.35008 Appl. Math., Praha 49, No. 2, 111-122 (2004). MSC: 35B27 35J60 74Q20 74Q05 PDFBibTeX XMLCite \textit{J. Byström} et al., Appl. Math., Praha 49, No. 2, 111--122 (2004; Zbl 1099.35008) Full Text: DOI EuDML
Garroni, A.; Nesi, V. Rigidity and lack of rigidity for solenoidal matrix fields. (English) Zbl 1108.74050 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2046, 1789-1806 (2004). MSC: 74Q05 35F20 46E35 49J10 74Q20 PDFBibTeX XMLCite \textit{A. Garroni} and \textit{V. Nesi}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2046, 1789--1806 (2004; Zbl 1108.74050) Full Text: DOI
Cardone, G.; Corbo Esposito, A.; Zhikov, V. V. A one-dimensional variational problem with gradient constraint. (English) Zbl 1064.49015 Appl. Anal. 83, No. 7, 747-756 (2004). Reviewer: Riccardo De Arcangelis (Napoli) MSC: 49J45 35B27 74Q20 PDFBibTeX XMLCite \textit{G. Cardone} et al., Appl. Anal. 83, No. 7, 747--756 (2004; Zbl 1064.49015) Full Text: DOI
Astala, Kari; Nesi, Vincenzo Composites and quasiconformal mappings: new optimal bounds in two dimensions. (English) Zbl 1106.74052 Calc. Var. Partial Differ. Equ. 18, No. 4, 335-355 (2003). MSC: 74Q20 35B27 30C62 PDFBibTeX XMLCite \textit{K. Astala} and \textit{V. Nesi}, Calc. Var. Partial Differ. Equ. 18, No. 4, 335--355 (2003; Zbl 1106.74052) Full Text: DOI
Owhadi, Houman Approximation of the effective conductivity of ergodic media by periodization. (English) Zbl 1040.60025 Probab. Theory Relat. Fields 125, No. 2, 225-258 (2003). MSC: 60F15 35B27 35J15 28D15 74Q20 37A15 PDFBibTeX XMLCite \textit{H. Owhadi}, Probab. Theory Relat. Fields 125, No. 2, 225--258 (2003; Zbl 1040.60025) Full Text: DOI arXiv Link
Alessandrini, Giovanni; Nesi, Vincenzo Univalent \(\sigma\)-harmonic mappings: Applications to composites. (English) Zbl 1024.30010 ESAIM, Control Optim. Calc. Var. 7, 379-406 (2002). MSC: 30C62 74Q20 35B27 74A40 PDFBibTeX XMLCite \textit{G. Alessandrini} and \textit{V. Nesi}, ESAIM, Control Optim. Calc. Var. 7, 379--406 (2002; Zbl 1024.30010) Full Text: DOI Numdam EuDML
Allaire, Grégoire Shape optimization by the homogenization method. (English) Zbl 0990.35001 Applied Mathematical Sciences. 146. New York, NY: Springer. xv, 456 p. (2002). Reviewer: Nenad Antonić and Marko Vrdoljak (Zagreb) MSC: 35-02 35B27 49-02 49J45 49K20 65K10 74Q20 PDFBibTeX XMLCite \textit{G. Allaire}, Shape optimization by the homogenization method. New York, NY: Springer (2002; Zbl 0990.35001)
Wall, Peter Bounds and estimates on the effective properties for nonlinear composites. (English) Zbl 0996.74062 Appl. Math., Praha 45, No. 6, 419-437 (2000). Reviewer: Luboš Pick (Praha) MSC: 74Q20 35B27 PDFBibTeX XMLCite \textit{P. Wall}, Appl. Math., Praha 45, No. 6, 419--437 (2000; Zbl 0996.74062) Full Text: DOI EuDML
Milton, G. W.; Nesi, V. Optimal \(G\)-closure bounds via stability under lamination. (English) Zbl 0941.74012 Arch. Ration. Mech. Anal. 150, No. 3, 191-207 (1999). MSC: 74E30 74Q20 35B27 PDFBibTeX XMLCite \textit{G. W. Milton} and \textit{V. Nesi}, Arch. Ration. Mech. Anal. 150, No. 3, 191--207 (1999; Zbl 0941.74012) Full Text: DOI
Belyaev, Alexander G.; Chechkin, Gregory A.; Gadyl’shin, Rustem R. Effective membrane permeability: Estimates and low concentration asymptotics. (English) Zbl 0940.35028 SIAM J. Appl. Math. 60, No. 1, 84-108 (1999). Reviewer: Igor Andrianov (Köln) MSC: 35B27 35B25 41A60 35C20 PDFBibTeX XMLCite \textit{A. G. Belyaev} et al., SIAM J. Appl. Math. 60, No. 1, 84--108 (1999; Zbl 0940.35028) Full Text: DOI
Zumbrun, Kevin; Howard, Peter Pointwise semigroup methods and stability of viscous shock waves. (English) Zbl 0928.35018 Indiana Univ. Math. J. 47, No. 3, 741-871 (1998); errata ibid. 51, No. 4, 1017-1021 (2002). Reviewer: K.Zumbrun MSC: 35B35 47D06 35L67 PDFBibTeX XMLCite \textit{K. Zumbrun} and \textit{P. Howard}, Indiana Univ. Math. J. 47, No. 3, 741--871 (1998; Zbl 0928.35018) Full Text: DOI
Luciano, R.; Sacco, E. Variational methods for the homogenization of periodic heterogeneous media. (English) Zbl 0929.74084 Eur. J. Mech., A, Solids 17, No. 4, 599-617 (1998). MSC: 74Q20 74E30 35B27 PDFBibTeX XMLCite \textit{R. Luciano} and \textit{E. Sacco}, Eur. J. Mech., A, Solids 17, No. 4, 599--617 (1998; Zbl 0929.74084) Full Text: DOI
Talbot, D. R. S.; Willis, J. R. Three-point bounds for the overall properties of a nonlinear composite dielectric. (English) Zbl 0870.35113 IMA J. Appl. Math. 57, No. 1, 41-52 (1996). MSC: 35Q72 82D30 PDFBibTeX XMLCite \textit{D. R. S. Talbot} and \textit{J. R. Willis}, IMA J. Appl. Math. 57, No. 1, 41--52 (1996; Zbl 0870.35113) Full Text: DOI
Lukkassen, Dag; Persson, Lars Erik; Wall, Peter On some sharp bounds for the homogenized \(p\)-Poisson equation. (English) Zbl 0832.35009 Appl. Anal. 58, No. 1-2, 123-135 (1995). Reviewer: L.E.Persson (Luleå) MSC: 35B27 35J20 74E05 74E30 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., Appl. Anal. 58, No. 1--2, 123--135 (1995; Zbl 0832.35009) Full Text: DOI
Lipton, Robert On the effective elasticity of a two-dimensional homogenized incompressible elastic composite. (English) Zbl 0683.73010 Proc. R. Soc. Edinb., Sect. A 110, No. 1-2, 45-61 (1988). Reviewer: V.K.Arya MSC: 74E05 35B99 74S30 PDFBibTeX XMLCite \textit{R. Lipton}, Proc. R. Soc. Edinb., Sect. A, Math. 110, No. 1--2, 45--61 (1988; Zbl 0683.73010) Full Text: DOI
Avron, Joseph; Simon, Barry Almost periodic Schrödinger operators. I: Limit periodic potentials. (English) Zbl 0484.35069 Commun. Math. Phys. 82, 101-120 (1981). MSC: 35P25 35J10 81Q15 47A40 47B25 35B15 PDFBibTeX XMLCite \textit{J. Avron} and \textit{B. Simon}, Commun. Math. Phys. 82, 101--120 (1981; Zbl 0484.35069) Full Text: DOI
Berdichevskij, A. L. Effective thermal conductivity of media with periodic inclusions. (English. Russian original) Zbl 0443.35069 Sov. Phys., Dokl. 24, 652-654 (1979); translation from Dokl. Akad. Nauk SSSR 247, 1363-1367 (1979). MSC: 35Q99 35A25 80A99 PDFBibTeX XMLCite \textit{A. L. Berdichevskij}, Sov. Phys., Dokl. 24, 652--654 (1979; Zbl 0443.35069); translation from Dokl. Akad. Nauk SSSR 247, 1363--1367 (1979)
Babuška, Ivo; Rheinboldt, W. C. On the reliability and optimality of the finite element method. (English) Zbl 0395.65058 Comput. Struct. 10, 87-94 (1979). MSC: 65N30 35J05 65N15 PDFBibTeX XMLCite \textit{I. Babuška} and \textit{W. C. Rheinboldt}, Comput. Struct. 10, 87--94 (1979; Zbl 0395.65058) Full Text: DOI