Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Khristenko Ustim"'
Publikováno v:
Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 1-5 (2022)
Time-fractional partial differential equations are nonlocal-in-time and show an innate memory effect. Previously, examples like the time-fractional Cahn-Hilliard and Fokker-Planck equations have been studied. In this work, we propose a general framew
Externí odkaz:
https://doaj.org/article/4170a493e91144ceac749f9c9c594ea7
Autor:
Kodakkal, Anoop, Keith, Brendan, Khristenko, Ustim, Apostolatos, Andreas, Bletzinger, Kai-Uwe, Wohlmuth, Barbara, Wuechner, Roland
Reducing the intensity of wind excitation via aerodynamic shape modification is a major strategy to mitigate the reaction forces on supertall buildings, reduce construction and maintenance costs, and improve the comfort of future occupants. To this e
Externí odkaz:
http://arxiv.org/abs/2203.12060
Autor:
Kaltenbacher, Barbara, Khristenko, Ustim, Nikolić, Vanja, Rajendran, Mabel Lizzy, Wohlmuth, Barbara
In this work, we investigate the inverse problem of determining the kernel functions that best describe the mechanical behavior of a complex medium modeled by a general nonlocal viscoelastic wave equation. To this end, we minimize a tracking-type dat
Externí odkaz:
http://arxiv.org/abs/2112.14071
Manufactured materials usually contain random imperfections due to the fabrication process, e.g., the 3D-printing, casting, etc. These imperfections affect significantly the effective material properties and result in uncertainties in the mechanical
Externí odkaz:
http://arxiv.org/abs/2112.06655
Publikováno v:
Physics of Fluids 33, 095110 (2021)
We develop a novel data-driven approach to modeling the atmospheric boundary layer. This approach leads to a nonlocal, anisotropic synthetic turbulence model which we refer to as the deep rapid distortion (DRD) model. Our approach relies on an operat
Externí odkaz:
http://arxiv.org/abs/2107.11046
Publikováno v:
Advances in Nonlinear Analysis 12 (2023)
Time-fractional partial differential equations are nonlocal in time and show an innate memory effect. In this work, we propose an augmented energy functional which includes the history of the solution. Further, we prove the equivalence of a time-frac
Externí odkaz:
http://arxiv.org/abs/2106.10985
Autor:
Khristenko, Ustim, Wohlmuth, Barbara
Fractional differential equations (FDEs) describe subdiffusion behavior of dynamical systems. Its non-local structure requires taking into account the whole evolution history during the time integration, which then possibly causes additional memory u
Externí odkaz:
http://arxiv.org/abs/2102.05139
Autor:
Khristenko, Ustim, Schuß, Stefan, Krüger, Melanie, Schmidt, Felix, Wohlmuth, Barbara, Hesch, Christian
A novel mathematical model for fiber-reinforced materials is proposed. It is based on a 1-dimensional beam model for the thin fiber structures, a flexible and general 3-dimensional elasticity model for the matrix and an overlapping domain decompositi
Externí odkaz:
http://arxiv.org/abs/2101.02527
Publikováno v:
J. Fluid Mech. 916 (2021) A21
This paper presents a class of turbulence models written in terms of fractional partial differential equations (FPDEs) with stochastic loads. Every solution of these FPDE models is an incompressible velocity field and the distribution of solutions is
Externí odkaz:
http://arxiv.org/abs/2008.03957
Autor:
Hesch, Christian, Khristenko, Ustim, Krause, Rolf, Popp, Alexander, Seitz, Alexander, Wall, Wolfgang, Wohlmuth, Barbara
Publikováno v:
SPP 1748 report, 2020
Complex geometries as common in industrial applications consist of multiple patches, if spline based parametrizations are used. The requirements for the generation of analysis-suitable models are increasing dramatically since isogeometric analysis is
Externí odkaz:
http://arxiv.org/abs/2006.06677