Zobrazeno 1 - 10
of 227
pro vyhledávání: '"Sauter, Stefan A"'
Adaptivity and local mesh refinement are crucial for the efficient numerical simulation of wave phenomena in complex geometry. Local mesh refinement, however, can impose a tiny time-step across the entire computational domain when using explicit time
Externí odkaz:
http://arxiv.org/abs/2409.18085
In this paper we introduce Crouzeix-Raviart elements of general polynomial order $k$ and spatial dimension $d\geq2$ for simplicial finite element meshes. We give explicit representations of the non-conforming basis functions and prove that the confor
Externí odkaz:
http://arxiv.org/abs/2407.04361
The Scott-Vogelius element is a popular finite element for the discretization of the Stokes equations which enjoys inf-sup stability and gives divergence-free velocity approximation. However, it is well known that the convergence rates for the discre
Externí odkaz:
http://arxiv.org/abs/2403.04499
In this paper we will derive an non-local (``integral'') equation which transforms a three-dimensional acoustic transmission problem with \emph{variable} coefficients, non-zero absorption, and mixed boundary conditions to a non-local equation on a ``
Externí odkaz:
http://arxiv.org/abs/2305.00959
The Scott-Vogelius finite element pair for the numerical discretization of the stationary Stokes equation in 2D is a popular element which is based on a continuous velocity approximation of polynomial order $k$ and a discontinuous pressure approximat
Externí odkaz:
http://arxiv.org/abs/2212.09673
Autor:
Sauter, Stefan, Torres, Céline
We consider non-conforming discretizations of the stationary Stokes equation in three spatial dimensions by Crouzeix-Raviart type elements. The original definition in the seminal paper by M. Crouzeix and P.-A. Raviart in 1973 is implicit and also con
Externí odkaz:
http://arxiv.org/abs/2205.00062
Autor:
Melenk, Jens M., Sauter, Stefan A.
The time-harmonic Maxwell equations at high wavenumber k in domains with an analytic boundary and impedance boundary conditions are considered. A wavenumber-explicit stability and regularity theory is developed that decomposes the solution into a par
Externí odkaz:
http://arxiv.org/abs/2201.02602
We study the unique solvability of the discretized Helmholtz problem with Robin boundary conditions using a conforming Galerkin $hp$-finite element method. Well-posedness of the discrete equations is typically investigated by applying a compact pertu
Externí odkaz:
http://arxiv.org/abs/2105.02273
Autor:
Sauter, Stefan, Torres, Céline
We study wave propagation phenomena modelled in the frequency domain by the Helmholtz equation in heterogeneous media with focus on media with discontinuous, highly oscillating wave speed. We restrict to problems with spherical symmetry and will deri
Externí odkaz:
http://arxiv.org/abs/2006.15866