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math.CT2021
Mathematical modelling by help of category theory: models and relations between them
Dmitrii Legatiuk
The growing complexity of modern practical problems puts high demands on the mathematical modelling. Given that various models can be used for modelling one physical phenomenon, th…
math.CV2021★ 3 cited
Coupling of complex function theory and finite element method for crack propagation through energetic formulation: conformal mapping approach and reduction to a Riemann-Hilbert problem
Dmitrii Legatiuk, Daniel Weisz-Patrault
In this paper we present a theoretical background of a coupled analytical-numerical approach to model a crack propagation process in two-dimensional bounded domains. The goal of th…