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Author ID: lipton.robert-p Recent zbMATH articles by "Lipton, Robert P."
Published as: Lipton, Robert; Lipton, R.; Lipton, Robert P.; Lipton, Rob
Homepage: https://www.math.lsu.edu/~lipton/
External Links: MGP · ORCID
all top 5

Serials

8 SIAM Journal on Applied Mathematics
7 Journal of the Mechanics and Physics of Solids
7 Journal of Elasticity
5 Archive for Rational Mechanics and Analysis
5 Computer Methods in Applied Mechanics and Engineering
5 International Journal of Solids and Structures
5 Multiscale Modeling & Simulation
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 SIAM Journal on Mathematical Analysis
2 Control and Cybernetics
2 International Journal for Numerical Methods in Engineering
2 Journal of Optimization Theory and Applications
2 Quarterly of Applied Mathematics
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Acta Mechanica
1 Journal of Computational Physics
1 Journal of Mathematical Analysis and Applications
1 Quarterly Journal of Mechanics and Applied Mathematics
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 BIT
1 Journal of Differential Equations
1 SIAM Journal on Numerical Analysis
1 Computational Mechanics
1 Communications in Partial Differential Equations
1 Continuum Mechanics and Thermodynamics
1 SIAM Journal on Scientific Computing
1 NoDEA. Nonlinear Differential Equations and Applications
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Discrete and Continuous Dynamical Systems. Series B
1 Structural and Multidisciplinary Optimization
1 Communications on Applied Mathematics and Computation

Publications by Year

Citations contained in zbMATH Open

84 Publications have been cited 845 times in 567 Documents Cited by Year
Optimal local approximation spaces for generalized finite element methods with application to multiscale problems. Zbl 1229.65195
Babuska, Ivo; Lipton, Robert
104
2011
Dynamic brittle fracture as a small horizon limit of peridynamics. Zbl 1309.74065
Lipton, Robert
47
2014
Darcy’s law for slow viscous flow past a stationary array of bubbles. Zbl 0850.76778
Lipton, Robert; Avellaneda, Marco
46
1990
Composites with imperfect interface. Zbl 0872.73033
Lipton, Robert; Vernescu, Bogdan
41
1996
Heat conduction in fine scale mixtures with interfacial contact resistance. Zbl 0913.35010
Lipton, Robert
35
1998
Multiscale dynamics of heterogeneous media in the peridynamic formulation. Zbl 1320.74029
Alali, Bacim; Lipton, Robert
31
2012
Cohesive dynamics and brittle fracture. Zbl 1386.74127
Lipton, Robert
29
2016
Extremal eigenvalue problems for two-phase conductors. Zbl 0914.49011
Cox, Steven; Lipton, Robert
24
1996
Inequalities for electric and elastic polarization tensors with applications to random composites. Zbl 0797.73046
Lipton, Robert
22
1993
Optimal design of material properties and material distribution for multiple loading conditions. Zbl 0822.73047
Bendsøe, Martin P.; Díaz, Alejandro R.; Lipton, Robert; Taylor, John E.
21
1995
Variational methods, bounds, and size effects for composites with highly conducting interface. Zbl 0969.74571
Lipton, Robert
21
1997
Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials. Zbl 0662.73012
Kohn, Robert V.; Lipton, Robert
18
1988
Machine computation using the exponentially convergent multiscale spectral generalized finite element method. Zbl 1320.74097
Babuška, Ivo; Huang, Xu; Lipton, Robert
18
2014
Resonance and double negative behavior in metamaterials. Zbl 1301.35165
Chen, Yue; Lipton, Robert
17
2013
Multiscale-spectral GFEM and optimal oversampling. Zbl 1442.65402
Babuška, Ivo; Lipton, Robert; Sinz, Paul; Stuebner, Michael
15
2020
Parametrization in laminate design for optimal compliance. Zbl 0943.74545
Hammer, V. B.; Bendsøe, M. P.; Lipton, R.; Pedersen, P.
14
1997
Multiscale analysis of linear evolution equations with applications to nonlocal models for heterogeneous media. Zbl 1348.74287
Du, Qiang; Lipton, Robert; Mengesha, Tadele
13
2016
Optimal design of gradient fields with applications to electrostatics. Zbl 1080.78003
Lipton, Robert; Velo, Ani P.
13
2002
Variational methods, size effects and extremal microgeometries for elastic composites with imperfect interface. Zbl 0848.73041
Lipton, Robert; Vernescu, Bogdan
12
1995
Design of functionally graded composite structures in the presence of stress constraints. Zbl 1032.74020
Lipton, Robert
12
2002
\(L^{2}\)-global to local projection: An approach to multiscale analysis. Zbl 1242.65234
Babuska, Ivo; Lipton, Robert
11
2011
Optimal fiber configurations for maximum torsional rigidity. Zbl 0939.74051
Lipton, Robert
11
1998
Bloch waves in crystals and periodic high contrast media. Zbl 1375.35109
Lipton, Robert; Viator, Robert Jr.
11
2017
Numerical analysis of nonlocal fracture models in Hölder space. Zbl 1388.74054
Jha, Prashant K.; Lipton, Robert
10
2018
A comparative review of peridynamics and phase-field models for engineering fracture mechanics. Zbl 1505.74191
Diehl, Patrick; Lipton, Robert; Wick, Thomas; Tyagi, Mayank
10
2022
Bounds for the effective conductivity of a composite with an imperfect interface. Zbl 0986.78012
Lipton, R.; Talbot, D. R. S.
9
2001
Assessment of the local stress state through macroscopic variables. Zbl 1079.74054
Lipton, Robert P.
9
2003
Relaxation through homogenization for optimal design problems with gradient constraints. Zbl 1005.49005
Lipton, R.
9
2002
Free damage propagation with memory. Zbl 1403.74080
Lipton, Robert; Said, Eyad; Jha, Prashant
9
2018
On the effective elasticity of a two-dimensional homogenized incompressible elastic composite. Zbl 0683.73010
Lipton, Robert
7
1988
Sub-wavelength plasmonic crystals: dispersion relations and effective properties. Zbl 1190.82045
Fortes, Santiago P.; Lipton, Robert P.; Shipman, Stephen P.
7
2010
Optimal lower bounds on the hydrostatic stress amplification inside random two-phase elastic composites. Zbl 1176.74152
Lipton, Robert
7
2005
A saddle-point theorem with application to structural optimization. Zbl 0810.73041
Lipton, R.
7
1994
Uncertain loading and quantifying maximum energy concentration within composite structures. Zbl 1375.74038
Lipton, Robert; Sinz, Paul; Stuebner, Michael
7
2016
Creating band gaps in periodic media. Zbl 1386.35301
Lipton, Robert; Viator, Robert jun.
7
2017
The penetration function and its application to microscale problems. Zbl 1152.65105
Babuška, Ivo; Lipton, Robert; Stuebner, Michael
7
2008
A new formulation of the problem of optimum reinforcement of Reissner-Mindlin plates. Zbl 1067.74051
Díaz, Alejandro R.; Lipton, Robert; Soto, Ciro A.
6
1995
Optimization of composite structures subject to local stress constraints. Zbl 1120.74695
Lipton, Robert; Stuebner, Michael
6
2006
Optimal inequalities for gradients of solutions of elliptic equations occurring in two-phase heat conductors. Zbl 0998.35009
Lipton, Robert
6
2001
Influence of interfacial surface conduction on the DC electrical conductivity of particle reinforced composites. Zbl 0967.78007
Lipton, Robert
6
1998
Stress-constrained G-closure and relaxation of structural design problems. Zbl 1075.74066
Lipton, Robert
6
2004
Inverse homogenization and design of microstructure for pointwise stress control. Zbl 1087.74046
Lipton, R.; Stuebner, M.
6
2006
On the behavior of elastic composites with transverse isotropic symmetry. Zbl 0754.73068
Lipton, Robert
6
1991
Reciprocal relations, bounds, and size effects for composites with highly conducting interface. Zbl 0877.35012
Lipton, Robert
6
1997
Effective Maxwell’s equations for perfectly conducting split ring resonators. Zbl 1402.35272
Lipton, Robert; Schweizer, Ben
6
2018
Homogenization and field concentrations in heterogeneous media. Zbl 1151.35007
Lipton, Robert
5
2006
Bounds for the torsional rigidity of shafts with arbitrary cross-sections containing cylindrically orthotropic fibres or coated fibres. Zbl 1138.74041
Chen, Tungyang; Lipton, Robert
5
2007
Optimal design of composite structures for strength and stiffness: an inverse homogenization approach. Zbl 1245.74007
Lipton, Robert; Stuebner, Michael
5
2007
Homogenisation of two-phase emulsions. Zbl 0817.76092
Lipton, Robert; Vernescu, Bogdan
5
1994
Bounds and extremal configurations for the torsional rigidity of coated fiber reinforced shafts. Zbl 1126.74036
Lipton, Robert; Chen, Tungyang
5
2004
Nonlocal elastodynamics and fracture. Zbl 1464.74012
Lipton, Robert P.; Jha, Prashant K.
5
2021
Numerical convergence of finite difference approximations for state based peridynamic fracture models. Zbl 1441.74018
Jha, Prashant K.; Lipton, Robert
5
2019
An isoperimetric inequality for the torsional rigidity of imperfectly bonded fiber reinforced cylinders. Zbl 0961.74039
Lipton, Robert
4
1999
Convergent power series for fields in positive or negative high-contrast periodic media. Zbl 1231.35245
Fortes, Santiago P.; Lipton, Robert P.; Shipman, Stephen P.
4
2011
Bounds on the distribution of extreme values for the stress in composite materials. Zbl 1070.74041
Lipton, Robert
4
2004
Bounds and perturbation series for incompressible elastic composites with transverse isotropic symmetry. Zbl 0756.73058
Lipton, Robert
4
1992
Optimal lower bounds on local stress inside random media. Zbl 1197.35286
Alali, Bacim; Lipton, Robert
4
2009
Finite element approximation of nonlocal dynamic fracture models. Zbl 1465.74163
Jha, P. K.; Lipton, R.
4
2021
Homogenization theory and the assessment of extreme field values in composites with random microstructure. Zbl 1074.74049
Lipton, Robert
3
2004
Laminar elastic composites with crystallographic symmetry. Zbl 0726.73042
James, Richard; Lipton, Robert; Lutoborski, Adam
3
1990
Local field assessment inside multiscale composite architectures. Zbl 1147.74005
Breitzman, Timothy; Lipton, Robert; Iarve, Endel
3
2007
Finite element convergence for state-based peridynamic fracture models. Zbl 1463.74103
Jha, Prashant K.; Lipton, Robert
3
2020
The second Stekloff eigenvalue and energy dissipation inequalities for functionals with surface energy. Zbl 0911.31002
Lipton, Robert
2
1998
On optimal reinforcement of plates and choice of design parameters. Zbl 0820.73051
Lipton, Robert P.
2
1994
Extremal overall elastic response of polycrystalline materials. Zbl 0969.74522
Bendsøe, Martin P.; Lipton, Robert
2
1997
Effect of interfacial bonding on fiber-reinforced shafts subject to antiplane shear. Zbl 0978.74022
Lipton, Robert
2
2001
Nematic polymer mechanics: Flow-induced anisotropy. Zbl 1163.76003
Zheng, Xiaoyu; Forest, M. Gregory; Lipton, Robert; Zhou, Ruhai
2
2007
Direct solution of an optimal layout problem for isotropic heat conductors in three dimensions. Zbl 0825.73051
Lurie, K. A.; Lipton, R.
2
1992
Novel metamaterial surfaces from perfectly conducting subwavelength corrugations. Zbl 1375.35531
Lipton, Robert; Polizzi, Anthony; Thakur, Lokendra
2
2017
Homogenization and design of functionally graded composites for stiffness and strength. Zbl 1320.74091
Lipton, R.
2
2005
Optimal lower bounds on the local stress inside random thermoelastic composites. Zbl 1320.74008
Chen, Yue; Lipton, Robert
2
2010
The effective viscosity of a mixture of two Stokes fluids. Zbl 0675.76107
Kohn, Robert V.; Lipton, Robert
1
1986
Anisotropy and heterogeneity of nematic polymer nano-composite film properties. Zbl 1181.76026
Forest, M. Gregory; Zhou, Ruhai; Wang, Qi; Zheng, Xiaoyu; Lipton, Robert
1
2005
Reinforced Mindlin plates with extremal stiffness. Zbl 0942.74628
Lipton, Robert; Díaz, Alejandro
1
1997
Composites with symmetry and their extremal properties. Zbl 0946.74518
Lipton, Robert
1
1994
Two-phase elastic composites with interfacial slip. Zbl 0900.73468
Lipton, R.; Vernescu, B.
1
1996
Optimal bounds on the in-plane shear moduli for orthotropic elastic composites. Zbl 0794.73040
Lipton, Rob; Northrup, Jim
1
1994
Optimal bounds on effective elastic tensors for orthotropic composites. Zbl 0805.73044
Lipton, Robert
1
1994
Reinforcement of elastic structures in the presence of imperfect bonding. Zbl 1165.74313
Lipton, Robert
1
2001
Double negative dispersion relations from coated plasmonic rods. Zbl 1284.35413
Chen, Yue; Lipton, Robert
1
2013
Quasistatic fracture using nonlinear-nonlocal elastostatics with explicit tangent stiffness matrix. Zbl 07768023
Diehl, Patrick; Lipton, Robert
1
2022
Representation formulas for \(L^\infty\) norms of weakly convergent sequences of gradient fields in homogenization. Zbl 1273.35038
Lipton, Robert; Mengesha, Tadele
1
2012
Bloch waves in high contrast electromagnetic crystals. Zbl 1500.35118
Lipton, Robert; Viator, Robert Jr.; Bolaños, Silvia Jiménez; Adili, Abiti
1
2022
Simulating grain shape effects and damage in granular media using PeriDEM. Zbl 1512.74006
Bhattacharya, Debdeep; Lipton, Robert P.
1
2023
Simulating grain shape effects and damage in granular media using PeriDEM. Zbl 1512.74006
Bhattacharya, Debdeep; Lipton, Robert P.
1
2023
A comparative review of peridynamics and phase-field models for engineering fracture mechanics. Zbl 1505.74191
Diehl, Patrick; Lipton, Robert; Wick, Thomas; Tyagi, Mayank
10
2022
Quasistatic fracture using nonlinear-nonlocal elastostatics with explicit tangent stiffness matrix. Zbl 07768023
Diehl, Patrick; Lipton, Robert
1
2022
Bloch waves in high contrast electromagnetic crystals. Zbl 1500.35118
Lipton, Robert; Viator, Robert Jr.; Bolaños, Silvia Jiménez; Adili, Abiti
1
2022
Nonlocal elastodynamics and fracture. Zbl 1464.74012
Lipton, Robert P.; Jha, Prashant K.
5
2021
Finite element approximation of nonlocal dynamic fracture models. Zbl 1465.74163
Jha, P. K.; Lipton, R.
4
2021
Multiscale-spectral GFEM and optimal oversampling. Zbl 1442.65402
Babuška, Ivo; Lipton, Robert; Sinz, Paul; Stuebner, Michael
15
2020
Finite element convergence for state-based peridynamic fracture models. Zbl 1463.74103
Jha, Prashant K.; Lipton, Robert
3
2020
Numerical convergence of finite difference approximations for state based peridynamic fracture models. Zbl 1441.74018
Jha, Prashant K.; Lipton, Robert
5
2019
Numerical analysis of nonlocal fracture models in Hölder space. Zbl 1388.74054
Jha, Prashant K.; Lipton, Robert
10
2018
Free damage propagation with memory. Zbl 1403.74080
Lipton, Robert; Said, Eyad; Jha, Prashant
9
2018
Effective Maxwell’s equations for perfectly conducting split ring resonators. Zbl 1402.35272
Lipton, Robert; Schweizer, Ben
6
2018
Bloch waves in crystals and periodic high contrast media. Zbl 1375.35109
Lipton, Robert; Viator, Robert Jr.
11
2017
Creating band gaps in periodic media. Zbl 1386.35301
Lipton, Robert; Viator, Robert jun.
7
2017
Novel metamaterial surfaces from perfectly conducting subwavelength corrugations. Zbl 1375.35531
Lipton, Robert; Polizzi, Anthony; Thakur, Lokendra
2
2017
Cohesive dynamics and brittle fracture. Zbl 1386.74127
Lipton, Robert
29
2016
Multiscale analysis of linear evolution equations with applications to nonlocal models for heterogeneous media. Zbl 1348.74287
Du, Qiang; Lipton, Robert; Mengesha, Tadele
13
2016
Uncertain loading and quantifying maximum energy concentration within composite structures. Zbl 1375.74038
Lipton, Robert; Sinz, Paul; Stuebner, Michael
7
2016
Dynamic brittle fracture as a small horizon limit of peridynamics. Zbl 1309.74065
Lipton, Robert
47
2014
Machine computation using the exponentially convergent multiscale spectral generalized finite element method. Zbl 1320.74097
Babuška, Ivo; Huang, Xu; Lipton, Robert
18
2014
Resonance and double negative behavior in metamaterials. Zbl 1301.35165
Chen, Yue; Lipton, Robert
17
2013
Double negative dispersion relations from coated plasmonic rods. Zbl 1284.35413
Chen, Yue; Lipton, Robert
1
2013
Multiscale dynamics of heterogeneous media in the peridynamic formulation. Zbl 1320.74029
Alali, Bacim; Lipton, Robert
31
2012
Representation formulas for \(L^\infty\) norms of weakly convergent sequences of gradient fields in homogenization. Zbl 1273.35038
Lipton, Robert; Mengesha, Tadele
1
2012
Optimal local approximation spaces for generalized finite element methods with application to multiscale problems. Zbl 1229.65195
Babuska, Ivo; Lipton, Robert
104
2011
\(L^{2}\)-global to local projection: An approach to multiscale analysis. Zbl 1242.65234
Babuska, Ivo; Lipton, Robert
11
2011
Convergent power series for fields in positive or negative high-contrast periodic media. Zbl 1231.35245
Fortes, Santiago P.; Lipton, Robert P.; Shipman, Stephen P.
4
2011
Sub-wavelength plasmonic crystals: dispersion relations and effective properties. Zbl 1190.82045
Fortes, Santiago P.; Lipton, Robert P.; Shipman, Stephen P.
7
2010
Optimal lower bounds on the local stress inside random thermoelastic composites. Zbl 1320.74008
Chen, Yue; Lipton, Robert
2
2010
Optimal lower bounds on local stress inside random media. Zbl 1197.35286
Alali, Bacim; Lipton, Robert
4
2009
The penetration function and its application to microscale problems. Zbl 1152.65105
Babuška, Ivo; Lipton, Robert; Stuebner, Michael
7
2008
Bounds for the torsional rigidity of shafts with arbitrary cross-sections containing cylindrically orthotropic fibres or coated fibres. Zbl 1138.74041
Chen, Tungyang; Lipton, Robert
5
2007
Optimal design of composite structures for strength and stiffness: an inverse homogenization approach. Zbl 1245.74007
Lipton, Robert; Stuebner, Michael
5
2007
Local field assessment inside multiscale composite architectures. Zbl 1147.74005
Breitzman, Timothy; Lipton, Robert; Iarve, Endel
3
2007
Nematic polymer mechanics: Flow-induced anisotropy. Zbl 1163.76003
Zheng, Xiaoyu; Forest, M. Gregory; Lipton, Robert; Zhou, Ruhai
2
2007
Optimization of composite structures subject to local stress constraints. Zbl 1120.74695
Lipton, Robert; Stuebner, Michael
6
2006
Inverse homogenization and design of microstructure for pointwise stress control. Zbl 1087.74046
Lipton, R.; Stuebner, M.
6
2006
Homogenization and field concentrations in heterogeneous media. Zbl 1151.35007
Lipton, Robert
5
2006
Optimal lower bounds on the hydrostatic stress amplification inside random two-phase elastic composites. Zbl 1176.74152
Lipton, Robert
7
2005
Homogenization and design of functionally graded composites for stiffness and strength. Zbl 1320.74091
Lipton, R.
2
2005
Anisotropy and heterogeneity of nematic polymer nano-composite film properties. Zbl 1181.76026
Forest, M. Gregory; Zhou, Ruhai; Wang, Qi; Zheng, Xiaoyu; Lipton, Robert
1
2005
Stress-constrained G-closure and relaxation of structural design problems. Zbl 1075.74066
Lipton, Robert
6
2004
Bounds and extremal configurations for the torsional rigidity of coated fiber reinforced shafts. Zbl 1126.74036
Lipton, Robert; Chen, Tungyang
5
2004
Bounds on the distribution of extreme values for the stress in composite materials. Zbl 1070.74041
Lipton, Robert
4
2004
Homogenization theory and the assessment of extreme field values in composites with random microstructure. Zbl 1074.74049
Lipton, Robert
3
2004
Assessment of the local stress state through macroscopic variables. Zbl 1079.74054
Lipton, Robert P.
9
2003
Optimal design of gradient fields with applications to electrostatics. Zbl 1080.78003
Lipton, Robert; Velo, Ani P.
13
2002
Design of functionally graded composite structures in the presence of stress constraints. Zbl 1032.74020
Lipton, Robert
12
2002
Relaxation through homogenization for optimal design problems with gradient constraints. Zbl 1005.49005
Lipton, R.
9
2002
Bounds for the effective conductivity of a composite with an imperfect interface. Zbl 0986.78012
Lipton, R.; Talbot, D. R. S.
9
2001
Optimal inequalities for gradients of solutions of elliptic equations occurring in two-phase heat conductors. Zbl 0998.35009
Lipton, Robert
6
2001
Effect of interfacial bonding on fiber-reinforced shafts subject to antiplane shear. Zbl 0978.74022
Lipton, Robert
2
2001
Reinforcement of elastic structures in the presence of imperfect bonding. Zbl 1165.74313
Lipton, Robert
1
2001
An isoperimetric inequality for the torsional rigidity of imperfectly bonded fiber reinforced cylinders. Zbl 0961.74039
Lipton, Robert
4
1999
Heat conduction in fine scale mixtures with interfacial contact resistance. Zbl 0913.35010
Lipton, Robert
35
1998
Optimal fiber configurations for maximum torsional rigidity. Zbl 0939.74051
Lipton, Robert
11
1998
Influence of interfacial surface conduction on the DC electrical conductivity of particle reinforced composites. Zbl 0967.78007
Lipton, Robert
6
1998
The second Stekloff eigenvalue and energy dissipation inequalities for functionals with surface energy. Zbl 0911.31002
Lipton, Robert
2
1998
Variational methods, bounds, and size effects for composites with highly conducting interface. Zbl 0969.74571
Lipton, Robert
21
1997
Parametrization in laminate design for optimal compliance. Zbl 0943.74545
Hammer, V. B.; Bendsøe, M. P.; Lipton, R.; Pedersen, P.
14
1997
Reciprocal relations, bounds, and size effects for composites with highly conducting interface. Zbl 0877.35012
Lipton, Robert
6
1997
Extremal overall elastic response of polycrystalline materials. Zbl 0969.74522
Bendsøe, Martin P.; Lipton, Robert
2
1997
Reinforced Mindlin plates with extremal stiffness. Zbl 0942.74628
Lipton, Robert; Díaz, Alejandro
1
1997
Composites with imperfect interface. Zbl 0872.73033
Lipton, Robert; Vernescu, Bogdan
41
1996
Extremal eigenvalue problems for two-phase conductors. Zbl 0914.49011
Cox, Steven; Lipton, Robert
24
1996
Two-phase elastic composites with interfacial slip. Zbl 0900.73468
Lipton, R.; Vernescu, B.
1
1996
Optimal design of material properties and material distribution for multiple loading conditions. Zbl 0822.73047
Bendsøe, Martin P.; Díaz, Alejandro R.; Lipton, Robert; Taylor, John E.
21
1995
Variational methods, size effects and extremal microgeometries for elastic composites with imperfect interface. Zbl 0848.73041
Lipton, Robert; Vernescu, Bogdan
12
1995
A new formulation of the problem of optimum reinforcement of Reissner-Mindlin plates. Zbl 1067.74051
Díaz, Alejandro R.; Lipton, Robert; Soto, Ciro A.
6
1995
A saddle-point theorem with application to structural optimization. Zbl 0810.73041
Lipton, R.
7
1994
Homogenisation of two-phase emulsions. Zbl 0817.76092
Lipton, Robert; Vernescu, Bogdan
5
1994
On optimal reinforcement of plates and choice of design parameters. Zbl 0820.73051
Lipton, Robert P.
2
1994
Composites with symmetry and their extremal properties. Zbl 0946.74518
Lipton, Robert
1
1994
Optimal bounds on the in-plane shear moduli for orthotropic elastic composites. Zbl 0794.73040
Lipton, Rob; Northrup, Jim
1
1994
Optimal bounds on effective elastic tensors for orthotropic composites. Zbl 0805.73044
Lipton, Robert
1
1994
Inequalities for electric and elastic polarization tensors with applications to random composites. Zbl 0797.73046
Lipton, Robert
22
1993
Bounds and perturbation series for incompressible elastic composites with transverse isotropic symmetry. Zbl 0756.73058
Lipton, Robert
4
1992
Direct solution of an optimal layout problem for isotropic heat conductors in three dimensions. Zbl 0825.73051
Lurie, K. A.; Lipton, R.
2
1992
On the behavior of elastic composites with transverse isotropic symmetry. Zbl 0754.73068
Lipton, Robert
6
1991
Darcy’s law for slow viscous flow past a stationary array of bubbles. Zbl 0850.76778
Lipton, Robert; Avellaneda, Marco
46
1990
Laminar elastic composites with crystallographic symmetry. Zbl 0726.73042
James, Richard; Lipton, Robert; Lutoborski, Adam
3
1990
Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials. Zbl 0662.73012
Kohn, Robert V.; Lipton, Robert
18
1988
On the effective elasticity of a two-dimensional homogenized incompressible elastic composite. Zbl 0683.73010
Lipton, Robert
7
1988
The effective viscosity of a mixture of two Stokes fluids. Zbl 0675.76107
Kohn, Robert V.; Lipton, Robert
1
1986
all top 5

Cited by 750 Authors

37 Lipton, Robert P.
12 Du, Qiang
12 Kang, Hyeonbae
11 Milton, Graeme Walter
11 Peterseim, Daniel
10 Allaire, Grégoire
10 Ammari, Habib
10 D’Elia, Marta
10 Mengesha, Tadele
9 Amar, Micol
9 Hou, Thomas Yizhao
8 Donato, Patrizia
8 Li, Qin
8 Lu, Jianfeng
8 Målqvist, Axel
8 Mikelić, Andro
7 Babuška, Ivo
7 Chen, Tungyang
7 Gunzburger, Max D.
7 Jha, Prashant Kumar
7 Lee, Hyundae
7 Pedregal, Pablo
7 Schweizer, Ben
7 Tian, Xiaochuan
7 Vernescu, Bogdan
6 Andreucci, Daniele
6 Capdeboscq, Yves
6 Monsurrò, Sara
6 Perugia, Carmen
6 Smetana, Kathrin
6 Stuebner, Michael
6 Viator, Robert Jr.
6 Yu, Yue
5 Bellido, José Carlos
5 Benveniste, Yakov
5 Bravo-Castillero, Julián
5 Efendiev, Yalchin R.
5 Gianni, Roberto
5 Grabovsky, Yury
5 Gruais, Isabelle
5 Henning, Patrick
5 Huang, Ming
5 Kao, Chiu-Yen
5 Lewiński, Tomasz
5 Maier, Roland
5 Nika, Grigor
5 Poliševski, Dan A.
5 Wright, Stephen J.
5 Zhang, Zhiwen
4 Abdulle, Assyr
4 Bendsøe, Martin Philip
4 Chung, Tsz Shun Eric
4 Coclite, Giuseppe Maria
4 Dayal, Kaushik
4 Faella, Luisa
4 Guinovart-Díaz, Raúl
4 Harutyunyan, Davit
4 Hauck, Moritz
4 Idiart, Martín I.
4 Jiang, Lijian
4 Keil, Tim
4 Kohn, Robert Vita
4 Li, Xingjie Helen
4 Ljung, Per
4 Maddalena, Francesco
4 Osting, Braxton
4 Owhadi, Houman
4 Pérez-Fernández, Leslie D.
4 Privat, Yannick
4 Rodríguez-Ramos, Reinaldo
4 Scheichl, Robert
4 Schweitzer, Marc Alexander
4 Scott, James M.
4 You, Huaiqian
3 Alali, Bacim
3 Amirat, Youcef Aït
3 Breitkopf, Piotr
3 Buryachenko, Valeriy A.
3 Capodaglio, Giacomo
3 Chen, Jingrun
3 Chen, Ke
3 Chen, Yifan
3 Conca, Carlos
3 Cruz, Manuel E.
3 Després, Bruno
3 Donoso, Alberto
3 Galvis, Juan
3 Godin, Yuri A.
3 Hovsepyan, Narek
3 Jäger, Willi
3 Javili, Ali
3 Ju, Lili
3 Li, Guanglian
3 Lopez, Luciano
3 Ma, Chupeng
3 Ma, Dingjiong
3 Ma, Lingling
3 Mohammadi, Seyyed Abbas
3 Nie, Yufeng
3 Ohlberger, Mario
...and 650 more Authors
all top 5

Cited in 157 Serials

50 Computer Methods in Applied Mechanics and Engineering
36 Multiscale Modeling & Simulation
20 Journal of the Mechanics and Physics of Solids
18 Journal of Elasticity
17 Journal of Computational Physics
16 Archive for Rational Mechanics and Analysis
16 Structural and Multidisciplinary Optimization
15 SIAM Journal on Scientific Computing
13 Applicable Analysis
11 Computational Mechanics
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 SIAM Journal on Numerical Analysis
9 International Journal of Engineering Science
9 Journal of Optimization Theory and Applications
9 SIAM Journal on Mathematical Analysis
8 Applied Mathematics and Optimization
8 Journal of Differential Equations
8 Mathematics and Mechanics of Solids
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Mathematical Methods in the Applied Sciences
6 Journal of Scientific Computing
6 SIAM Journal on Applied Mathematics
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 Acta Mechanica
5 Journal of Mathematical Analysis and Applications
5 International Journal for Numerical Methods in Engineering
5 European Journal of Mechanics. A. Solids
4 Nonlinearity
4 Mathematics of Computation
4 Applications of Mathematics
4 Applied Mathematical Modelling
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Calculus of Variations and Partial Differential Equations
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Journal of Mathematical Physics
3 Journal of Computational and Applied Mathematics
3 Numerische Mathematik
3 Quarterly of Applied Mathematics
3 Chinese Annals of Mathematics. Series B
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Continuum Mechanics and Thermodynamics
3 NoDEA. Nonlinear Differential Equations and Applications
3 Nonlinear Analysis. Real World Applications
3 Archives of Computational Methods in Engineering
3 Mathematics and Mechanics of Complex Systems
3 Research in the Mathematical Sciences
2 Computers & Mathematics with Applications
2 Communications on Pure and Applied Mathematics
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Applied Mathematics and Computation
2 Meccanica
2 Numerical Functional Analysis and Optimization
2 SIAM Journal on Control and Optimization
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Journal of Computational Mathematics
2 Physica D
2 Applied Numerical Mathematics
2 European Journal of Applied Mathematics
2 Communications in Partial Differential Equations
2 Engineering Analysis with Boundary Elements
2 Discrete and Continuous Dynamical Systems
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Fractional Calculus & Applied Analysis
2 Communications in Contemporary Mathematics
2 Optimization and Engineering
2 Analysis and Applications (Singapore)
2 Acta Numerica
2 Networks and Heterogeneous Media
2 Discrete and Continuous Dynamical Systems. Series S
2 Nonlinear Analysis. Theory, Methods & Applications
2 Journal de l’École Polytechnique – Mathématiques
2 Journal of Elliptic and Parabolic Equations
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Archives of Mechanics
1 Computers and Fluids
1 Houston Journal of Mathematics
1 International Journal of Plasticity
1 International Journal of Solids and Structures
1 Inverse Problems
1 Journal of Engineering Mathematics
1 Physica A
1 Physics Letters. A
1 Reports on Mathematical Physics
1 Wave Motion
1 Acta Mathematica Vietnamica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 BIT
1 Czechoslovak Mathematical Journal
1 Indiana University Mathematics Journal
1 Journal of the London Mathematical Society. Second Series
1 Journal of Philosophical Logic
1 Mechanics Research Communications
1 Ricerche di Matematica
1 Synthese
1 Advances in Applied Mathematics
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Optimization
...and 57 more Serials
all top 5

Cited in 40 Fields

276 Mechanics of deformable solids (74-XX)
253 Partial differential equations (35-XX)
168 Numerical analysis (65-XX)
70 Fluid mechanics (76-XX)
55 Calculus of variations and optimal control; optimization (49-XX)
41 Optics, electromagnetic theory (78-XX)
31 Integral equations (45-XX)
18 Statistical mechanics, structure of matter (82-XX)
16 Operations research, mathematical programming (90-XX)
14 Classical thermodynamics, heat transfer (80-XX)
11 Approximations and expansions (41-XX)
11 Functional analysis (46-XX)
10 Operator theory (47-XX)
10 Systems theory; control (93-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
8 Functions of a complex variable (30-XX)
8 Biology and other natural sciences (92-XX)
7 Probability theory and stochastic processes (60-XX)
6 Potential theory (31-XX)
6 Mechanics of particles and systems (70-XX)
5 Real functions (26-XX)
5 Statistics (62-XX)
5 Computer science (68-XX)
3 General and overarching topics; collections (00-XX)
3 Mathematical logic and foundations (03-XX)
3 Quantum theory (81-XX)
2 History and biography (01-XX)
2 Ordinary differential equations (34-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Convex and discrete geometry (52-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Geophysics (86-XX)
2 Information and communication theory, circuits (94-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year