Zobrazeno 1 - 10
of 234
pro vyhledávání: '"Salgado, Abner J."'
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
We prove the well posedness in weighted Sobolev spaces of certain linear and nonlinear elliptic boundary value problems posed on convex domains and under singular forcing. It is assumed that the weights belong to the Muckenhoupt class $A_p$ with $p \
Externí odkaz:
http://arxiv.org/abs/2406.10762
We develop a monotone, two-scale discretization for a class of integrodifferential operators of order $2s$, $s \in (0,1)$. We apply it to develop numerical schemes, and derive pointwise convergence rates, for linear and obstacle problems governed by
Externí odkaz:
http://arxiv.org/abs/2405.17652
We consider the numerical approximation of variational problems with orthotropic growth, that is those where the integrand depends strongly on the coordinate directions with possibly different growth in each direction. Under realistic regularity assu
Externí odkaz:
http://arxiv.org/abs/2312.15539
We study the linear elasticity system subject to singular forces. We show existence and uniqueness of solutions in two frameworks: weighted Sobolev spaces, where the weight belongs to the Muckenhoupt class $A_2$; and standard Sobolev spaces where the
Externí odkaz:
http://arxiv.org/abs/2310.10866
Let $\Omega \subset \mathbb{R}^n$ be a convex polytope ($n \leq 3$). The Ritz projection is the best approximation, in the $W^{1,2}_0$-norm, to a given function in a finite element space. When such finite element spaces are constructed on the basis o
Externí odkaz:
http://arxiv.org/abs/2305.03575
We study a non-local optimal control problem involving a linear, bond-based peridynamics model. In addition to existence and uniqueness of solutions to our problem, we investigate their behavior as the horizon parameter $\delta$, which controls the d
Externí odkaz:
http://arxiv.org/abs/2304.09328
Autor:
Li, Wenbo, Salgado, Abner J.
We propose a monotone, and consistent numerical scheme for the approximation of the Dirichlet problem for the normalized Infinity Laplacian, which could be related to the family of so--called two--scale methods. We show that this method is convergent
Externí odkaz:
http://arxiv.org/abs/2209.06109
Autor:
Salgado, Abner J., Tomas, Ignacio
We study diagonally implicit Runge-Kutta (DIRK) schemes when applied to abstract evolution problems that fit into the Gelfand-triple framework. We introduce novel stability notions that are well-suited to this setting and provide simple, necessary an
Externí odkaz:
http://arxiv.org/abs/2205.13032
We consider the interaction between a free flowing fluid and a porous medium flow, where the free flowing fluid is described using the time dependent Stokes equations, and the porous medium flow is described using Darcy's law in the primal formulatio
Externí odkaz:
http://arxiv.org/abs/2112.12831