Zobrazeno 1 - 10
of 2 337
pro vyhledávání: '"A Knüpfer"'
Autor:
Bravin, Marco, Gnann, Manuel V., Knüpfer, Hans, Masmoudi, Nader, Roodenburg, Floris B., Sauer, Jonas
Well-posedness and higher regularity of the heat equation with Robin boundary conditions in an unbounded two-dimensional wedge is established in an $L^{2}$-setting of monomially weighted spaces. A mathematical framework is developed which allows to o
Externí odkaz:
http://arxiv.org/abs/2411.04651
Autor:
Bravin, Marco, Gnann, Manuel V., Knüpfer, Hans, Masmoudi, Nader, Roodenburg, Floris B., Sauer, Jonas
We consider the incompressible and stationary Stokes equations on an infinite two-dimensional wedge with non-scaling invariant Navier-slip boundary conditions. We prove well-posedness and higher regularity of the Stokes problem in a certain class of
Externí odkaz:
http://arxiv.org/abs/2407.15517
Publikováno v:
Sebastian Stroenisch, Maximilian Sander, Marcus Meyer and Andreas Knuepfer. "Multi-GPU Approach for Training of Graph ML Models on large CFD Meshes," AIAA 2023-1203. AIAA SCITECH 2023 Forum. January 2023
Mesh-based numerical solvers are an important part in many design tool chains. However, accurate simulations like computational fluid dynamics are time and resource consuming which is why surrogate models are employed to speed-up the solution process
Externí odkaz:
http://arxiv.org/abs/2307.13592
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics 154 (2024) 769-792
We are concerned with a variant of the isoperimetric problem, which in our setting arises in a geometrically nonlinear two-well problem in elasticity. More precisely, we investigate the optimal scaling of the energy of an elastic inclusion of a fixed
Externí odkaz:
http://arxiv.org/abs/2207.13746
We derive a macroscopic limit for a sharp interface version of a model proposed in [29] to investigate pattern formation due to competition of chemical and mechanical forces in biomembranes. We identify sub- and supercrital parameter regimes and show
Externí odkaz:
http://arxiv.org/abs/2207.01974
Autor:
Brietzke, Birger, Knüpfer, Hans
We consider the onset of pattern formation in an ultrathin ferromagnetic film of the form $\tilde{\Omega}_t := \tilde{\Omega} \times [0,t]$ for $\tilde{ \Omega} \Subset \mathbb{R}^2$ with preferred perpendicular magnetization direction. The relative
Externí odkaz:
http://arxiv.org/abs/2205.10061
Publikováno v:
In Research Policy October 2024 53(8)
Autor:
Knüpfer, Hans, Stantejsky, Dominik
We investigate the energy of an isolated magnetized domain $\Omega \subset \mathbb{R}^n$ for $n=2,3$. In non-dimensionalized variables, the energy given by $$ \mathcal{E}(\Omega) \ = \ \int_{\mathbb{R}^n} |\nabla \chi_{\Omega}| \ dx + \int_{\mathbb{R
Externí odkaz:
http://arxiv.org/abs/2201.02384
Autor:
Knüpfer, Hans, Shi, Wenhui
The seminal results of Bourgain, Brezis, Mironescu and D\'avila show that the classical perimeter can be approximated by a family of nonlocal perimeter functionals. We consider a corresponding second order expansion for the nonlocal perimeter functio
Externí odkaz:
http://arxiv.org/abs/2110.12378
Publikováno v:
In Chemical Engineering Research and Design August 2024 208:336-347