Publications by authors named "S N Sauter"

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 approximations. However, it is well known that the convergence rates for the discrete pressure deteriorate in the presence of certain in a triangulation of the domain. Modifications of the Scott-Vogelius element such as the recently introduced pressure-wired Stokes element also suffer from this effect.

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The time-harmonic Maxwell equations at high wavenumber 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 part with finite Sobolev regularity that is controlled uniformly in and an analytic part. Using this regularity, quasi-optimality of the Galerkin discretization based on Nédélec elements of order on a mesh with mesh size is shown under the -explicit scale resolution condition that (a) / is sufficient small and (b) is bounded from below.

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Background: Germany's healthcare system provides high-quality, universal health coverage to almost all residents. However, a major challenge lies in the strong separation of healthcare structures, which hinders efficient interprofessional and intersectoral communication and collaboration. The mandatory nationwide implementation of the telematics infrastructure may offer a solution to enhance healthcare professionals' communication and collaboration.

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To demonstrate the spatially uneven effects of abortion restriction laws in Texas. We used network analysis to determine the change in distance to the nearest surgical abortion provider for 5253 Texas neighborhoods after the passing of Texas Senate Bill 8 (SB8; 2021) and the US Supreme Court's (2022) decision. We identified associations between key measures of neighborhood socioeconomic context and change in distance to providers using multivariable linear regression models.

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