Dmitrii Legatiuk

Available identifiers

zbMath Open legatiuk.dmitriiWikidataQ91584770 ScholiaQ91584770MaRDI QIDQ779900

List of research outcomes

Publication	Date of Publication	Type
Cauchy formulae and Hardy spaces in discrete octonionic analysis	2024-01-09	Paper
Weyl calculus perspective on the discrete Stokes' formula in octonions	2023-12-11	Paper
Towards discrete octonionic analysis	2022-11-05	Paper
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	2022-09-02	Paper
Brownian motion, martingales and Itô formula in Clifford analysis	2022-04-21	Paper
Mathematical modelling by help of category theory: models and relations between them	2021-08-13	Paper
Discrete Hardy spaces for bounded domains in \(\mathbb{R}^n\)	2021-01-22	Paper
Conceptual modelling: Towards detecting modelling errors in engineering applications	2020-08-19	Paper
Quaternionic Operator Calculus for Boundary Value Problems of Micropolar Elasticity	2020-06-29	Paper
Constructive Orthonormalisation of Monogenic Polynomials on a Finite Cylinder	2020-06-29	Paper
Boundary values of discrete monogenic functions over bounded domains in \(\mathbb{R}^3\)	2019-11-27	Paper
Interpolation of monogenic functions by using reproducing kernel Hilbert spaces	2019-01-24	Paper
On Some Properties of Pseudo-complex Polynomials	2018-04-18	Paper
Three-dimensional interpolation with monogenic polynomials	2017-09-12	Paper
Error estimates for the coupling of analytical and numerical solutions	2017-08-24	Paper
Categorical approach to modelling and to coupling of models	2017-02-07	Paper
ψ-Hyperholomorphic functions and a Kolosov-Muskhelishvili formula	2016-03-18	Paper
https://portal.mardi4nfdi.de/entity/Q5178485	2015-03-16	Paper
Improved convergence results for the finite element method with holomorphic functions	2015-01-30	Paper
On the Continuous Coupling of Finite Elements with Holomorphic Basis Functions	2014-12-09	Paper

Research outcomes over time

Doctoral students

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