Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Averseng, Martin"'
Autor:
Averseng, Martin
Publikováno v:
Comptes Rendus. Mathématique, Vol 361, Iss G4, Pp 757-766 (2023)
We prove the stability of a weighted $L^2$ projection operator onto piecewise linear finite elements spaces in a weighted Sobolev norm. Namely, we consider the orthogonal projections $\pi _{N,\omega }$ from $L^2(\mathbb{D},1/\omega (x)\mathrm{d}x)$ t
Externí odkaz:
https://doaj.org/article/799c51f7cdfe4557bcc61a861861f8f2
We present a preconditioning method for the linear systems arising from the boundary element discretization of the Laplace hypersingular equation on a $2$-dimensional triangulated surface $\Gamma$ in $\mathbb{R}^3$. We allow $\Gamma$ to belong to a l
Externí odkaz:
http://arxiv.org/abs/2310.09204
For $h$-FEM discretisations of the Helmholtz equation with wavenumber $k$, we obtain $k$-explicit analogues of the classic local FEM error bounds of [Nitsche, Schatz 1974], [Wahlbin 1991], [Demlow, Guzm\'an, Schatz 2011], showing that these bounds ho
Externí odkaz:
http://arxiv.org/abs/2304.14737
This work introduces ``generalized meshes", a type of meshes suited for the discretization of partial differential equations in non-regular geometries. Generalized meshes extend regular simplicial meshes by allowing for overlapping elements and more
Externí odkaz:
http://arxiv.org/abs/2212.14222
Autor:
Averseng, Martin
We construct a piecewise-polynomial interpolant $u \mapsto \Pi u$ for functions $u:\Omega \setminus \Gamma \to \mathbb{R}$, where $\Omega \subset \mathbb{R}^d$ is a Lipschitz polyhedron and $\Gamma \subset \Omega$ is a possibly non-manifold $(d-1)$-d
Externí odkaz:
http://arxiv.org/abs/2211.08223
Autor:
Averseng, Martin
Cette thèse porte sur le problème de la diffration acoustique par un obstacle et sa résolution numérique par la méthode des éléments finis de frontière. Dans les trois premiers chapitres, on s'intéresse au cas où l'obstacle possède des sin
Externí odkaz:
http://www.theses.fr/2019SACLX083
Autor:
Alouges, Francois1, Averseng, Martin2 martin.averseng@univ-angers.fr
Publikováno v:
ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN). Mar/Apr2024, Vol. 58 Issue 2, p793-831. 39p.
Publikováno v:
In Finite Elements in Analysis & Design 1 August 2023 220
Autor:
Averseng, Martin
We introduce two new classes of pseudo-differential operators on open curves. They correspond via a change of variables to subclasses of the periodic pseudo-differential operators, which respectively stabilize even and odd functions. The resulting sy
Externí odkaz:
http://arxiv.org/abs/1905.13604
Autor:
Alouges, François, Averseng, Martin
The Helmholtz wave scattering problem by screens in 2D can be recast into first-kind integral equations which lead to ill-conditioned linear systems after discretization. We introduce two new preconditioners, in the form of square-roots of local oper
Externí odkaz:
http://arxiv.org/abs/1905.13602