60 citations · 557 across the 44 of their papers we have counts for
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Perspective on Moreau-Yosida Regularization in Density-Functional Theory
Markus Penz, Michael F. Herbst, Trygve Helgaker +1
Within density-functional theory, Moreau-Yosida regularization enables both a reformulation of the theory and a mathematically well-defined definition of the Kohn-Sham approach. It…
v-Representability on a one-dimensional torus at elevated temperatures
Sarina M. Sutter, Markus Penz, Michael Ruggenthaler +2
We extend a previous result [Sutter et al., J. Phys. A: Math. Theor. 57, 475202 (2024)] to give an explicit form of the set of -representable densities on the one-dimensional to…
Local-density correlation functional from the force-balance equation
Nicolas Tancogne-Dejean, Markus Penz, Michael Ruggenthaler +1
The force-balance equation of time-dependent density-functional theory presents a promising route towards obtaining approximate functionals, however, so far, no practical correlati…
Constrained Search in Imaginary Time
Markus Penz, Robert van Leeuwen
We introduce an imaginary-time evolution method to evaluate the pure-state constrained-search functional from density-functional theory formulated on finite lattices. Simultaneousl…
Adaptation of Moreau-Yosida regularization to the modulus of convexity
Markus Penz, Andre Laestadius
We study a generalization of Moreau-Yosida regularization that is adapted to the geometry of Banach spaces where the dual space is uniformly convex with modulus of convexity of pow…