106 citations · 162 across the 15 of their papers we have counts for
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math.AP2016★ 4 cited
Localization in inelastic rate dependent shearing deformations
Theodoros Katsaounis, Min-Gi Lee, Athanasios Tzavaras
Metals deformed at high strain rates can exhibit failure through formation of shear bands, a phenomenon often attributed to Hadamard instability and localization of the strain into…
math.NA2016★ 1 cited
On the reflection of solitons of the nonlinear Schrodinger equation
Theodoros Katsaounis, Dimitrios Mitsotakis
In this paper we perform a numerical study on the interesting phenomenon of soliton reflection of solid walls. We consider the 2D nonlinear Schrodinger equation as the underlying m…
math.NA2016
A posteriori error analysis for evolution nonlinear Schrödinger equations up to the critical exponent
Theodoros Katsaounis, Irene Kyza
We provide a posteriori error estimates in the norm for relaxation time discrete and fully discrete schemes for a class of evolution nonlinear Schrödinger equations…