Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Steinbach, Marc"'
The understanding of the mechanisms driving vascular development is still limited. Techniques to generate vascular trees synthetically have been developed to tackle this problem. However, most algorithms are limited to single trees inside convex perf
Externí odkaz:
http://arxiv.org/abs/2410.06002
Autor:
Günther, Christian, Hofmeister, Benedikt, Hübler, Clemens, Jonscher, Clemens, Ragnitz, Jasper, Schubert, Jenny, Steinbach, Marc C.
We propose a multi-objective global pattern search algorithm for the task of locating and quantifying damage in flexible mechanical structures. This is achieved by identifying eigenfrequencies and eigenmodes from measurements and matching them agains
Externí odkaz:
http://arxiv.org/abs/2404.01896
We consider the aeroelastic simulation of flexible mechanical structures submerged in subsonic fluid flows at low Mach numbers. The nonlinear kinematics of flexible bodies are described in the total Lagrangian formulation and discretized by finite el
Externí odkaz:
http://arxiv.org/abs/2403.15286
We present a monolithic finite element formulation for (nonlinear) fluid-structure interaction in Eulerian coordinates. For the discretization we employ an unfitted finite element method based on inf-sup stable finite elements. So-called ghost penalt
Externí odkaz:
http://arxiv.org/abs/2402.00209
In this work we consider the hybrid Data-Driven Computational Mechanics (DDCM) approach, in which a smooth constitutive manifold is reconstructed to obtain a well-behaved nonlinear optimization problem (NLP) rather than the much harder discrete-conti
Externí odkaz:
http://arxiv.org/abs/2311.04083
The purpose of this work is the formulation of optimality conditions for phase-field optimal control problems. The forward problem is first stated as an abstract nonlinear optimization problem, and then the necessary optimality conditions are derived
Externí odkaz:
http://arxiv.org/abs/2310.03168
The branching behavior of vascular trees is often characterized using Murray's law. We investigate its validity using synthetic vascular trees generated under global optimization criteria. Our synthetic tree model does not incorporate Murray's law ex
Externí odkaz:
http://arxiv.org/abs/2304.11998
In this article, we present new computational realizations of principal geodesic analysis for the unit sphere $S^2$ and the special orthogonal group $SO(3)$. In particular, we address the construction of long-time smooth lifts across branches of the
Externí odkaz:
http://arxiv.org/abs/2209.03654
The purpose of this work is the development of space-time discretization schemes for phase-field optimal control problems. Specifically in the optimal control minimization problem, a tracking-type cost functional is minimized to steer the crack via t
Externí odkaz:
http://arxiv.org/abs/2203.14643
Publikováno v:
J. R. Soc. Interface. 19 (2022)
In this paper, we introduce a new framework for generating synthetic vascular trees, based on rigorous model-based mathematical optimization. Our main contribution is the reformulation of finding the optimal global tree geometry into a nonlinear opti
Externí odkaz:
http://arxiv.org/abs/2202.04406