activity
20062023
most citedMultiscale-Spectral GFEM and Optimal Oversampling

34 citations · 162 across the 33 of their papers we have counts for

collaborators

36 papers

math.NA2023

Quasistatic fracture evolution

Debdeep Bhattacharya, Robert Lipton, Patrick Diehl

Nonlocal quasistatic fracture evolution for interacting cracks is developed and supporting numerical examples are presented. The approach is implicit and is based on local stationa…

hep-ex2022

Integration and Packaging

S. Mazza, R. Lipton, R. Patti +1

Vertically integrated (3D) combinations of sensors and electronics provide the ability to fabricate small, fine pitch pixels with very small total capacitance monolithically integr…

math.AP2022

Quasistatic Evolution with Unstable Forces

Debdeep Bhattacharya, Robert P. Lipton

We consider load controlled quasistatic evolution. Well posedness results for the nonlocal continuum model related to peridynamics are established. We show local existence and uniq…

math.AP2021

Bloch Waves in High Contrast Electromagnetic Crystals

Robert Lipton, Robert Viator, Silvia Jimenez Bolanos +1

Analytic representation formulas and power series are developed describing the band structure inside non-magnetic periodic photonic three-dimensional crystals made from high dielec…

math.AP2021

Bloch Spectra for High Contrast Elastic Media

Robert Lipton, Ruchira Perera

Analytic representation formulas and power series are developed to describe the band structure inside periodic elastic crystals made from high contrast inclusions. We use source fr…

cond-mat.soft2021★ 1 cited

Simulating grain shape effects and damage in granular media using PeriDEM

Debdeep Bhattacharya, Robert P. Lipton

We provide a numerical platform for the analysis of particle shape and topology effect on the macroscopic behavior of granular media. We work within a Discrete Element Method (DEM)…