Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Ilaria Perugia"'
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 57:29-67
For linear parabolic initial-boundary value problems with self-adjoint, time-homogeneous elliptic spatial operator in divergence form with Lipschitz-continuous coefficients, and for incompatible, time-analytic forcing term in polygonal/polyhedral dom
Publikováno v:
Mathematical Models and Methods in Applied Sciences
We introduce a new stabilization for discontinuous Galerkin methods for the Poisson problem on polygonal meshes, which induces optimal convergence rates in the polynomial approximation degree $p$. In the setting of [S. Bertoluzza and D. Prada, A poly
Mortar Coupling of hp-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation
Publikováno v:
Journal of Scientific Computing. 92
We design and analyze a coupling of a discontinuous Galerkin finite element method with a boundary element method to solve the Helmholtz equation with variable coefficients in three dimensions. The coupling is realized with a mortar variable that is
Publikováno v:
SIAM Journal on Numerical Analysis. 59:2237-2253
We present an equilibration-based a posteriori error estimator for Nedelec element discretizations of the magnetostatic problem. The estimator is obtained by adding a gradient correction to the est...
Publikováno v:
Computers & Mathematics with Applications. 80:2351-2378
We present a FEM–BEM coupling strategy for time-harmonic acoustic scattering in media with variable sound speed. The coupling is realized with the aid of a mortar variable that is an impedance trace on the coupling boundary. The resulting sesquilin
Publikováno v:
Communications on Pure and Applied Analysis
Communications on Pure and Applied Analysis, 2022, 21 (10), pp.3389. ⟨10.3934/cpaa.2022105⟩
Communications on Pure and Applied Analysis, 2022, 21 (10), pp.3389. ⟨10.3934/cpaa.2022105⟩
We consider the initial-value problem for the one-dimensional, time-dependent wave equation with positive, Lipschitz continuous coefficients, which are constant outside a bounded region. Under the assumption of compact support of the initial data, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b92acfe47ae6bf2ae83f5d20bb491b7b
Publikováno v:
SEMA SIMAI Springer Series ISBN: 9783030953188
We present a survey of the nonconforming Trefftz virtual element method for the Laplace and Helmholtz equations. As for the latter, we show a new abstract analysis, based on weaker assumptions on the stabilization, and numerical results on the disper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79c83b8d19bb14724f05ec28aed3e6c5
https://doi.org/10.1007/978-3-030-95319-5_9
https://doi.org/10.1007/978-3-030-95319-5_9
Publikováno v:
Computer Methods in Applied Mechanics and Engineering. 347:445-476
We discuss the implementation details and the numerical performance of the recently introduced nonconforming Trefftz virtual element method (Mascotto et al., 2018) for the 2D Helmholtz problem. In particular, we present a strategy to significantly re
Publikováno v:
Computers & Mathematics with Applications
Computers & Mathematics with Applications, 2022, 109, pp.1-14. ⟨10.1016/j.camwa.2022.01.010⟩
Computers & Mathematics with Applications, 2022, 109, pp.1-14. ⟨10.1016/j.camwa.2022.01.010⟩
We introduce a new numerical method for solving time-harmonic acoustic scattering problems. The main focus is on plane waves scattered by smoothly varying material inhomogeneities. The proposed method works for any frequency $\omega$, but is especial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20866bc01ffda92d506766b6b44b1fa8
http://arxiv.org/abs/2103.02511
http://arxiv.org/abs/2103.02511
The volume features high-quality papers based on the presentations at the ICOSAHOM 2020+1 on spectral and high order methods. The carefully reviewed articles cover state of the art topics in high order discretizations of partial differential equation