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math.CV2023
Cauchy formulae and Hardy spaces in discrete octonionic analysis
Rolf Sören Kraußhar, Dmitrii Legatiuk
In this paper, we continue the development of a fundament of discrete octonionic analysis that is associated to the discrete first order Cauchy-Riemann operator acting on octonions…
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…