Corners Give Problems When Decoupling Fourth Order Equations Into Second Order Systems. - Tymofiy Gerasimov; Athanasios Stylianou; Guido Sweers (SIAM J. Numer. Anal., 2012)

Convergence study of the h-adaptive PUM and the hp-adaptive FEM applied to eigenvalue problems in quantum mechanics. - Denis Davydov; Tymofiy Gerasimov; Jean-Paul Pelteret; Paul Steinmann (Adv. Model. Simul. Eng. Sci., 2017)

A non-intrusive global/local approach applied to phase-field modeling of brittle fracture. - Tymofiy Gerasimov; Nima Noii; Olivier Allix; Laura De Lorenzis (Adv. Model. Simul. Eng. Sci., 2018)

Stochastic phase-field modeling of brittle fracture: computing multiple crack patterns and their probabilities. - Tymofiy Gerasimov; Ulrich Römer; Jaroslav Vondrejc; Hermann G. Matthies; Laura De Lorenzis (CoRR, 2020)

Second-order phase-field formulations for anisotropic brittle fracture. - Tymofiy Gerasimov; Laura De Lorenzis (CoRR, 2021)

Neighborhood Watch in Mechanics: Nonlocal Models and Convolution. - Thomas Nagel; Tymofiy Gerasimov; Jere Remes; Dominik Kern (SIAM Rev., 2025)