Zobrazeno 1 - 10
of 486
pro vyhledávání: '"74s05"'
Eigenvalues of parameter-dependent quadratic eigenvalue problems form eigencurves. The critical points on these curves, where the derivative vanishes, are of practical interest. A particular example is found in the dispersion curves of elastic wavegu
Externí odkaz:
http://arxiv.org/abs/2411.09584
We propose two parameter-robust mixed finite element methods for linear Cosserat elasticity. The Cosserat coupling constant $\mu_c$, connecting the displacement $u$ and rotation vector $\omega$, leads to possible locking phenomena in finite element m
Externí odkaz:
http://arxiv.org/abs/2410.14176
Autor:
Nicolet, André, Demésy, Guillaume, Zolla, Frédéric, Campos, Carmen, Roman, Jose E., Geuzaine, Christophe
Publikováno v:
European Journal of Mechanics - A/Solids, Volume 100, July-August 2023, 104809
Resonances, also known as quasi normal modes (QNM) in the non-Hermitian case, play an ubiquitous role in all domains of physics ruled by wave phenomena, notably in continuum mechanics, acoustics, electrodynamics, and quantum theory. In this paper, we
Externí odkaz:
http://arxiv.org/abs/2410.03631
For the discretization of symmetric, divergence-conforming stress tensors in continuum mechanics, we prove inf-sup stability bounds which are uniform in polynomial degree and mesh size for the Hu--Zhang finite element in two dimensions. This is achie
Externí odkaz:
http://arxiv.org/abs/2409.17414
We study the asymptotic error between the finite element solutions of nonlocal models with a bounded interaction neighborhood and the exact solution of the limiting local model. The limit corresponds to the case when the horizon parameter, the radius
Externí odkaz:
http://arxiv.org/abs/2409.09270
This work presents a matrix-free finite element solver for finite-strain elasticity adopting an $hp$-multigrid preconditioner. Compared to classical algorithms relying on a global sparse matrix, matrix-free solution strategies significantly reduce me
Externí odkaz:
http://arxiv.org/abs/2408.12479
Autor:
Flanagan, Francis, O'Connor, Alison N., Erfanian, Mozhdeh, Music, Omer, Brambley, Edward James, O'Kiely, Doireann
Metal rolling is a widespread and well-studied process, and many finite-element (FE) rolling simulations can be found in the scientific literature. However, these FE simulations are typically limited in their resolution of through-thickness variation
Externí odkaz:
http://arxiv.org/abs/2408.03242
We consider the interaction between a poroelastic structure, described using the Biot model in primal form, and a free-flowing fluid, modelled with the time-dependent incompressible Stokes equations. We propose a diffuse interface model in which a ph
Externí odkaz:
http://arxiv.org/abs/2407.05949
Autor:
Heuer, Norbert
We present an extended framework for hybrid finite element approximations of self-adjoint, positive definite operators. It covers the cases of primal, mixed, and ultraweak formulations, both at the continuous and discrete levels, and gives rise to co
Externí odkaz:
http://arxiv.org/abs/2406.12541
Amorphous silicon is a highly promising anode material for next-generation lithium-ion batteries. Large volume changes of the silicon particle have a critical effect on the surrounding solid-electrolyte interphase (SEI) due to repeated fracture and h
Externí odkaz:
http://arxiv.org/abs/2404.01884