Zobrazeno 1 - 10
of 2 180
pro vyhledávání: '"A. Moiola"'
Trefftz schemes are high-order Galerkin methods whose discrete spaces are made of elementwise exact solutions of the underlying PDE. Trefftz basis functions can be easily computed for many PDEs that are linear, homogeneous, and have piecewise-constan
Externí odkaz:
http://arxiv.org/abs/2408.00392
The goal of this paper is to show that evanescent plane waves are much better at numerically approximating Helmholtz solutions than classical propagative plane waves. By generalizing the Jacobi$\unicode{x2013}$Anger identity to complex-valued directi
Externí odkaz:
http://arxiv.org/abs/2401.04016
Autor:
Bignardi, Paolo, Moiola, Andrea
We propose a new space-time variational formulation for wave equation initial-boundary value problems. The key property is that the formulation is coercive (sign-definite) and continuous in a norm stronger than $H^1(Q)$, $Q$ being the space-time cyli
Externí odkaz:
http://arxiv.org/abs/2312.07268
We study sound-soft time-harmonic acoustic scattering by general scatterers, including fractal scatterers, in 2D and 3D space. For an arbitrary compact scatterer $\Gamma$ we reformulate the Dirichlet boundary value problem for the Helmholtz equation
Externí odkaz:
http://arxiv.org/abs/2309.02184
Autor:
Carlos Casas-Arozamena, Ana Vilar, Juan Cueva, Efigenia Arias, Victoria Sampayo, Eva Diaz, Sara S Oltra, Cristian Pablo Moiola, Silvia Cabrera, Alexandra Cortegoso, Teresa Curiel, Alicia Abalo, Mónica Pamies Serrano, Santiago Domingo, Pablo Padilla-Iserte, Marta Arnaez de la Cruz, Alicia Hernández, Virginia García-Pineda, Juan Ruiz-Bañobre, Rafael López, Xavier Matias-Guiu, Eva Colás, Antonio Gil-Moreno, Miguel Abal, Gema Moreno-Bueno, Laura Muinelo-Romay
Publikováno v:
Journal of Experimental & Clinical Cancer Research, Vol 43, Iss 1, Pp 1-14 (2024)
Abstract Background There has been a rise in endometrial cancer (EC) incidence leading to increased mortality. To counter this trend, improving the stratification of post-surgery recurrence risk and anticipating disease relapse and treatment resistan
Externí odkaz:
https://doaj.org/article/d684ea05bd3b4749890be7772b452478
Publikováno v:
Applied Mathematics Letters, 146(C), 108824 (2023)
We study the approximation properties of complex-valued polynomial Trefftz spaces for the $(d+1)$-dimensional linear time-dependent Schr\"odinger equation. More precisely, we prove that for the space-time Trefftz discontinuous Galerkin variational fo
Externí odkaz:
http://arxiv.org/abs/2306.09571
Autor:
Gómez, Sergio, Moiola, Andrea
Publikováno v:
Adv. Comp. Math., 50:15, 2024
We present a space-time ultra-weak discontinuous Galerkin discretization of the linear Schr\"odinger equation with variable potential. The proposed method is well-posed and quasi-optimal in mesh-dependent norms for very general discrete spaces. Optim
Externí odkaz:
http://arxiv.org/abs/2306.05780
Publikováno v:
Comput. Math. Appl., 169, 2024, 205-222
We study space--time isogeometric discretizations of the linear acoustic wave equation that use splines of arbitrary degree p, both in space and time. We propose a space--time variational formulation that is obtained by adding a non-consistent penalt
Externí odkaz:
http://arxiv.org/abs/2303.07268
Autor:
Damiano Mistri, Monica Margoni, Elisabetta Pagani, Paola Valsasina, Alessandro Meani, Lucia Moiola, Massimo Filippi, Maria A. Rocca
Publikováno v:
Annals of Clinical and Translational Neurology, Vol 11, Iss 7, Pp 1840-1851 (2024)
Abstract Objective The present study aimed to identify the clinical and MRI features of the distinct cognitive phenotypes in pediatric multiple sclerosis (pedMS). Methods PedMS patients (n = 73) and healthy controls (n = 30) underwent clinical examin
Externí odkaz:
https://doaj.org/article/fda01c0633704fa084816a7417cae2d6
Publikováno v:
J. Math. Pure. Appl., 179, 2023, pp. 183-218
We consider the time-harmonic Maxwell equations posed in $\mathbb{R}^3$. We prove a priori bounds on the solution for $L^\infty$ coefficients $\epsilon$ and $\mu$ satisfying certain monotonicity properties, with these bounds valid for arbitrarily-lar
Externí odkaz:
http://arxiv.org/abs/2301.07092