The Faculty of Mathematics and Natural Sciences: Browsing Mathematisch-Naturwissenschaftliche Fakultät by Author "Schedensack, Mira"
Now showing items 1-4 of 4
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A new generalization of the P1 non-conforming FEM to higher polynomial degrees
(2015)This paper generalizes the non-conforming FEM of Crouzeix and Raviart and its fundamental projection property by a novel mixed formulation for the Poisson problem based on the Helmholtz decomposition. The new formulation ... -
Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in 2d
(2016-06)We formulate a stabilized quasi-optimal Petrov-Galerkin method for singularly perturbed convection-diffusion problems based on the variational multiscale method. The stabilization is of Petrov-Galerkin type with a standard ... -
A new discretization for mth-Laplace equations with arbitrary polynomial degrees
(2016-07)This paper introduces new mixed formulations and discretizations for <em>m</em>th-Laplace equations of the form (−1)<em><sup>m</sup></em>∆<em><sup>m</sup>u</em> = f for arbitrary <em>m</em> = 1, 2, 3, . . . based on novel ... -
Relaxing the CFL condition for the wave equation on adaptive meshes
(2017-02)The Courant-Friedrichs-Lewy (CFL) condition guarantees the stability of the popular explicit leapfrog method for the wave equation. However, it limits the choice of the time step size to be bounded by the minimal mesh size ...
