Bach, Volker; Rauch, Robert On relative bounds for interacting Fermion operators. (English) Zbl 07753235 Doc. Math. 28, No. 3, 683-707 (2023). MSC: 81Q05 81Q15 70H05 81V45 81V55 78A35 81V74 52B20 81T12 82C20 52A38 81-02 PDFBibTeX XMLCite \textit{V. Bach} and \textit{R. Rauch}, Doc. Math. 28, No. 3, 683--707 (2023; Zbl 07753235) Full Text: DOI arXiv
Ochoa, Ignacio; Idiart, Martín I. Explicit estimates versus numerical bounds for the electrical conductivity of dispersions with dissimilar particle shape and distribution. (English) Zbl 1453.74074 J. Eng. Math. 123, 165-171 (2020). MSC: 74Q20 74F15 74F10 74S05 78A48 PDFBibTeX XMLCite \textit{I. Ochoa} and \textit{M. I. Idiart}, J. Eng. Math. 123, 165--171 (2020; Zbl 1453.74074) Full Text: DOI
Sevostianov, I.; Mogilevskaya, S. G.; Kushch, V. I. Maxwell’s methodology of estimating effective properties: alive and well. (English) Zbl 1425.74405 Int. J. Eng. Sci. 140, 35-88 (2019). MSC: 74Q20 78A25 74E30 PDFBibTeX XMLCite \textit{I. Sevostianov} et al., Int. J. Eng. Sci. 140, 35--88 (2019; Zbl 1425.74405) Full Text: DOI Link
Ghosh, Tuhin; Vanninathan, Muthusamy Convergence relative to a microstructure: properties, optimal bounds and application. (English) Zbl 06850619 J. Abstr. Differ. Equ. Appl. 8, No. 2, 81-188 (2017). MSC: 62K05 78M40 74Q20 78A48 PDFBibTeX XMLCite \textit{T. Ghosh} and \textit{M. Vanninathan}, J. Abstr. Differ. Equ. Appl. 8, No. 2, 81--188 (2017; Zbl 06850619) Full Text: arXiv Link
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
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
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
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
Engström, Christian Inverse bounds of two-component composites. (English) Zbl 1151.78012 SIAM J. Appl. Math. 68, No. 3, 666-679 (2008). MSC: 78A48 41A20 41A21 30E05 30E10 PDFBibTeX XMLCite \textit{C. Engström}, SIAM J. Appl. Math. 68, No. 3, 666--679 (2008; Zbl 1151.78012) Full Text: DOI
Silvestre, Luis A characterization of optimal two-phase multifunctional composite designs. (English) Zbl 1128.74036 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2086, 2543-2556 (2007). MSC: 74P10 74Q20 74E30 78A48 PDFBibTeX XMLCite \textit{L. Silvestre}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2086, 2543--2556 (2007; Zbl 1128.74036) 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
Berlyand, Leonid; Gorb, Yuliya; Novikov, Alexei Discrete network approximation for highly-packed composites with irregular geometry in three dimensions. (English) Zbl 1081.78016 Engquist, Björn (ed.) et al., Multiscale methods in science and engineering. Papers presented at the conference, Uppsala, Sweden, January 26–28, 2004. Berlin: Springer (ISBN 3-540-25335-1/pbk). Lecture Notes in Computational Science and Engineering 44, 21-57 (2005). Reviewer: Agneta Balint (Timişoara) MSC: 78A55 78M25 PDFBibTeX XMLCite \textit{L. Berlyand} et al., Lect. Notes Comput. Sci. Eng. 44, 21--57 (2005; Zbl 1081.78016) Full Text: DOI Link
Zhao, H. F.; Hu, G. K.; Lu, T. J. Correlation between the elastic moduli and conductivity of two-dimensional isotropic two-phase composites. (English) Zbl 1187.74068 Int. J. Fract. 126, No. 1, L11-L18 (2004). MSC: 74F15 74Q20 74F10 74E30 78A48 PDFBibTeX XMLCite \textit{H. F. Zhao} et al., Int. J. Fract. 126, No. 1, L11--L18 (2004; Zbl 1187.74068) Full Text: DOI
Braides, Andrea; Francfort, Gilles A. Bounds on the effective behaviour of a square conducting lattice. (English) Zbl 1070.74040 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2046, 1755-1769 (2004). MSC: 74Q20 74Q05 78A40 74Q15 PDFBibTeX XMLCite \textit{A. Braides} and \textit{G. A. Francfort}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2046, 1755--1769 (2004; Zbl 1070.74040) Full Text: DOI
Périn, Frédéric Bounds and asymptotic results for the effective electromagnetic properties of a locally periodic distribution of conducting inclusions in a conducting matrix. (English) Zbl 1059.78019 Eur. J. Mech., A, Solids 23, No. 1, 139-157 (2004). Reviewer: V. D. Sharma (Mumbai) MSC: 78A45 PDFBibTeX XMLCite \textit{F. Périn}, Eur. J. Mech., A, Solids 23, No. 1, 139--157 (2004; Zbl 1059.78019) Full Text: DOI
Barber, J. R. Bounds on the electrical resistance between contacting elastic rough bodies. (English) Zbl 1050.74038 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2029, 53-66 (2003). MSC: 74Q20 74F15 74M15 78A99 PDFBibTeX XMLCite \textit{J. R. Barber}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2029, 53--66 (2003; Zbl 1050.74038) Full Text: DOI
Berlyand, Leonid; Novikov, Alexei Geometric patterns and effective conductivity of highly packed two-phase composites. (English) Zbl 1097.74050 Carbone, Luciano (ed.) et al., Homogenization 2001. Proceedings of the first HMS2000 international school and conference on homogenization, Naples, Italy, June 18–22 and 23–27, 2001. Tokyo: Gakkotosho (ISBN 4-7625-0427-0/hbk). GAKUTO Int. Ser., Math. Sci. Appl. 18, 113-129 (2003). Reviewer: Vladimir Mityushev (Kraków) MSC: 74Q20 74Q15 74E30 78A48 PDFBibTeX XMLCite \textit{L. Berlyand} and \textit{A. Novikov}, GAKUTO Int. Ser., Math. Sci. Appl. 18, 113--129 (2003; Zbl 1097.74050)
Talbot, D. R. S. Improved bounds for the overall properties of a nonlinear composite dielectric. (English) Zbl 0986.78011 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2007, 587-597 (2001). Reviewer: Aleksander Pankov (Vinnitsa) MSC: 78A48 78M40 PDFBibTeX XMLCite \textit{D. R. S. Talbot}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2007, 587--597 (2001; Zbl 0986.78011) Full Text: DOI
Nesi, V.; Talbot, D. R. S.; Willis, J. R. Translation and related bounds for the response of a nonlinear composite conductor. (English) Zbl 0940.74047 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1990, 3687-3707 (1999). Reviewer: Vladimir Mityushev (Słupsk) MSC: 74Q20 78A48 PDFBibTeX XMLCite \textit{V. Nesi} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1990, 3687--3707 (1999; Zbl 0940.74047) Full Text: DOI
Talbot, D. R. S. Bounds which incorporate morphological information for a nonlinear composite dielectric. (English) Zbl 0940.74046 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1990, 3617-3628 (1999). Reviewer: Vladimir Mityushev (Słupsk) MSC: 74Q20 78A48 PDFBibTeX XMLCite \textit{D. R. S. Talbot}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1990, 3617--3628 (1999; Zbl 0940.74046) Full Text: DOI
Gałka, A.; Gambin, B.; Telega, J. J. Variational bounds on the effective moduli of anisotropic piezoelectric composites. (English) Zbl 0940.74049 Arch. Mech. 50, No. 4, 675-689 (1998). MSC: 74Q20 74F15 74E30 78A48 PDFBibTeX XMLCite \textit{A. Gałka} et al., Arch. Mech. 50, No. 4, 675--689 (1998; Zbl 0940.74049)
Lipton, Robert Variational methods, bounds, and size effects for composites with highly conducting interface. (English) Zbl 0969.74571 J. Mech. Phys. Solids 45, No. 3, 361-384 (1997). MSC: 74Q20 74E30 78A48 PDFBibTeX XMLCite \textit{R. Lipton}, J. Mech. Phys. Solids 45, No. 3, 361--384 (1997; Zbl 0969.74571) Full Text: DOI