Zobrazeno 1 - 10
of 345
pro vyhledávání: '"Hiptmair, Ralf"'
This paper investigates acoustic wave scattering from materials with periodic time-modulated material parameters. We consider the basic case of a single connected domain where absorbing or Neumann boundary conditions are enforced. Energy estimates li
Externí odkaz:
http://arxiv.org/abs/2410.10297
We consider frequency-domain acoustic scattering at a homogeneous star-shaped penetrable obstacle, whose shape is uncertain and modelled via a radial spectral parameterization with random coefficients. Using recent results on the stability of Helmhol
Externí odkaz:
http://arxiv.org/abs/2408.01194
The equations governing incompressible Stokes flow are reformulated such that the velocity is sought in the space H(curl). This relaxed regularity assumption leads to conforming finite element methods using spaces common to discretizations of Maxwell
Externí odkaz:
http://arxiv.org/abs/2407.13353
Using the mathematical theory of shape calculus as tool, we perform a rigorous investigation of the virtual work principle for the computation of electromagnetic forces in static settings. The main goal is to shed light on the widely held belief that
Externí odkaz:
http://arxiv.org/abs/2406.05655
We study frequency domain electromagnetic scattering at a bounded, penetrable, and inhomogeneous obstacle $ \Omega \subset \mathbb{R}^3 $. From the Stratton-Chu integral representation, we derive a new representation formula when constant reference c
Externí odkaz:
http://arxiv.org/abs/2403.17731
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
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
Autor:
Tonnon, Wouter, Hiptmair, Ralf
We develop a mesh-based semi-Lagrangian discretization of the time-dependent incompressible Navier-Stokes equations with free boundary conditions recast as a non-linear transport problem for a momentum 1-form. A linearly implicit fully discrete versi
Externí odkaz:
http://arxiv.org/abs/2301.04923
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
We study a new notion of trace operators and trace spaces for abstract Hilbert complexes. We introduce trace spaces as quotient spaces/annihilators. We characterize the kernels and images of the related trace operators and discuss duality relationshi
Externí odkaz:
http://arxiv.org/abs/2203.00630