Zobrazeno 1 - 10
of 170
pro vyhledávání: '"49Q12"'
The aim of this work is to analyse a shape optimization problem in a mechanical friction context. Precisely we perform a shape sensitivity analysis of a Tresca friction problem, that is, a boundary value problem involving the usual linear elasticity
Externí odkaz:
http://arxiv.org/abs/2411.10158
This paper investigates the sensitivity analysis of a scalar mechanical contact problem described by a boundary value problem involving the Tresca's friction law. The sensitivity analysis is performed with respect to right-hand source and boundary te
Externí odkaz:
http://arxiv.org/abs/2410.11760
This paper investigates, without any regularization or penalization procedure, a shape optimization problem involving a simplified friction phenomena modeled by a scalar Tresca friction law. Precisely, using tools from convex and variational analysis
Externí odkaz:
http://arxiv.org/abs/2410.11750
Autor:
Elzenaar, Alex, Waldron, Shayne
We give some new explicit examples of putatively optimal projective spherical designs. i.e., ones for which there is numerical evidence that they are of minimal size. These form continuous families, and so have little apparent symmetry in general, wh
Externí odkaz:
http://arxiv.org/abs/2405.19353
Autor:
Li, Jiajie, Zhu, Shengfeng
We study topology optimization governed by the incompressible Navier-Stokes flows using a phase field model. Novel stabilized semi-implicit schemes for the gradient flows of Allen-Cahn and Cahn-Hilliard types are proposed for solving the resulting op
Externí odkaz:
http://arxiv.org/abs/2405.05098
Recently developed reduced-order modeling techniques aim to approximate nonlinear dynamical systems on low-dimensional manifolds learned from data. This is an effective approach for modeling dynamics in a post-transient regime where the effects of in
Externí odkaz:
http://arxiv.org/abs/2307.15288
Autor:
Ennes, Henrique, Tinarrage, Raphaël
We suggest a new algorithm to estimate representations of compact Lie groups from finite samples of their orbits. Different from other reported techniques, our method allows the retrieval of the precise representation type as a direct sum of irreduci
Externí odkaz:
http://arxiv.org/abs/2309.03086
Autor:
Dewaele, Nick, Vannieuwenhoven, Nick
Many numerical problems with input $x$ and output $y$ can be formulated as an system of equations $F(x, y) = 0$ where the goal is to solve for $y$. The condition number measures the change of $y$ for small perturbations to $x$. From this numerical pr
Externí odkaz:
http://arxiv.org/abs/2305.11547
We study the geometry of flag manifolds under different embeddings into a product of Grassmannians. We show that differential geometric objects and operations -- tangent vector, metric, normal vector, exponential map, geodesic, parallel transport, gr
Externí odkaz:
http://arxiv.org/abs/2212.00212
We consider the problem of minimizing the composition of a nonsmooth function with a smooth mapping in the case where the proximity operator of the nonsmooth function can be explicitly computed. We first show that this proximity operator can provide
Externí odkaz:
http://arxiv.org/abs/2206.15053