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ORCIDRobert Lipton 0001
Person information
- affiliation: Louisiana State University, Department of Mathematics, Baton Rouge, USA
Other persons with the same name
- Robert Lipton 0002 — Prevention Research Center, USA
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Journal Articles
- 2023
[j18]Matthias Birner, Patrick Diehl, Robert Lipton, Marc Alexander Schweitzer:
A fracture multiscale model for peridynamic enrichment within the partition of unity method. Adv. Eng. Softw. 176: 103360 (2023)- [j17]Debdeep Bhattacharya
, Robert P. Lipton:
Quasistatic Evolution with Unstable Forces. Multiscale Model. Simul. 21(2): 598-623 (2023) - [j16]Debdeep Bhattacharya, Robert P. Lipton:
Simulating Grain Shape Effects and Damage in Granular Media Using PeriDEM. SIAM J. Sci. Comput. 45(1): 1- (2023) - 2018
- [j15]Prashant K. Jha, Robert Lipton:
Numerical Analysis of Nonlocal Fracture Models in Hölder Space. SIAM J. Numer. Anal. 56(2): 906-941 (2018) - 2017
- [j14]Robert Lipton, Robert Viator Jr.:
Creating Band Gaps in Periodic Media. Multiscale Model. Simul. 15(4): 1612-1650 (2017) - [j13]Robert Lipton, Anthony Polizzi, Lokendra Thakur:
Novel Metamaterial Surfaces from Perfectly Conducting Subwavelength Corrugations. SIAM J. Appl. Math. 77(4): 1269-1291 (2017) - 2016
- [j12]Robert Lipton, Paul Sinz, Michael Stuebner:
Uncertain loading and quantifying maximum energy concentration within composite structures. J. Comput. Phys. 325: 38-52 (2016) - 2013
- [j11]Yue Chen, Robert Lipton:
Double Negative Dispersion Relations from Coated Plasmonic Rods. Multiscale Model. Simul. 11(1): 192-212 (2013) - 2011
- [j10]Ivo Babuska, Robert Lipton:
Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems. Multiscale Model. Simul. 9(1): 373-406 (2011) - 2009
- [j9]Bacim Alali, Robert Lipton:
Optimal Lower Bounds on Local Stress inside Random Media. SIAM J. Appl. Math. 70(4): 1260-1282 (2009) - 2007
- [j8]Timothy Breitzman, Robert Lipton, Endel Iarve:
Local Field Assessment inside Multiscale Composite Architectures. Multiscale Model. Simul. 6(3): 937-962 (2007) - 2006
- [j7]Robert Lipton:
Homogenization and Field Concentrations in Heterogeneous Media. SIAM J. Math. Anal. 38(4): 1048-1059 (2006) - 2004
- [j6]Robert Lipton, Tungyang Chen:
Bounds and Extremal Configurations for the Torsional Rigidity of Coated Fiber Reinforced Shafts. SIAM J. Appl. Math. 65(1): 299-315 (2004) - [j5]Robert Lipton:
Homogenization Theory and the Assessment of Extreme Field Values in Composites with Random Microstructure. SIAM J. Appl. Math. 65(2): 475-493 (2004) - 2001
- [j4]Robert Lipton:
Optimal Inequalities for Gradients of Solutions of Elliptic Equations Occurring in Two-Phase Heat Conductors. SIAM J. Math. Anal. 32(5): 1081-1093 (2001) - 1998
- [j3]Robert Lipton:
Heat Conduction in Fine Scale Mixtures With Interfacial Contact Resistance. SIAM J. Appl. Math. 58(1): 55-72 (1998) - 1997
- [j2]Robert Lipton:
Reciprocal Relations, Bounds, and Size Effects for Composites with Highly Conducting Interface. SIAM J. Appl. Math. 57(2): 347-363 (1997) - 1994
- [j1]Robert Lipton, Jim Northrup:
Optimal Bounds on the in-Plane Shear Moduli for Orthotropic Elastic Composites. SIAM J. Appl. Math. 54(2): 428-442 (1994)
Informal and Other Publications
- 2024
- [i7]Prashant K. Jha, Patrick Diehl, Robert Lipton:
Nodal finite element approximation of peridynamics. CoRR abs/2403.05501 (2024) - [i6]Matthias Birner, Patrick Diehl, Robert Lipton, Marc Alexander Schweitzer:
A Multiscale Fracture Model using Peridynamic Enrichment of Finite Elements within an Adaptive Partition of Unity: Experimental Validation. CoRR abs/2405.00011 (2024) - 2022
- [i5]Debdeep Bhattacharya, Robert Lipton, Patrick Diehl:
Quasistatic fracture evolution. CoRR abs/2212.08753 (2022) - 2021
- [i4]Matthias Birner, Patrick Diehl, Robert Lipton, Marc Alexander Schweitzer:
A Fracture Multiscale Model for Peridynamic enrichment within the Partition of Unity Method: Part I. CoRR abs/2108.02336 (2021) - 2020
- [i3]Prashant K. Jha, Prathamesh S. Desai, Robert Lipton:
Peridynamics-based discrete element method (PeriDEM) model of granular systems involving breakage of arbitrarily shaped particles. CoRR abs/2010.07218 (2020) - 2019
- [i2]Ivo Babuska, Robert Lipton, Paul Sinz, Michael Stuebner:
Multiscale-Spectral GFEM and Optimal Oversampling. CoRR abs/1910.08856 (2019) - 2018
- [i1]Patrick Diehl, Prashant K. Jha, Hartmut Kaiser, Robert Lipton, Martin Lévesque:
Implementation of Peridynamics utilizing HPX - the C++ standard library for parallelism and concurrency. CoRR abs/1806.06917 (2018)
Coauthor Index
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