25 citations · 27 across the 4 of their papers we have counts for
7 papers · 1 filter
Two low-order nonconforming finite element methods for the Stokes flow in 3D
Jun Hu, Mira Schedensack
In this paper, we propose two low order nonconforming finite element methods (FEMs) for the three-dimensional Stokes flow that generalize the non-conforming FEM of Kouhia and Stenb…
Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in 2d
Guanglian Li, Daniel Peterseim, Mira Schedensack
We formulate a stabilized quasi-optimal Petrov-Galerkin method for singularly perturbed convection-diffusion problems based on the variational multiscale method. The stabilization…
Relaxing the CFL condition for the wave equation on adaptive meshes
Daniel Peterseim, Mira Schedensack
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 s…
A new discretization for mth-Laplace equations with arbitrary polynomial degrees
Mira Schedensack
This paper introduces new mixed formulations and discretizations for th-Laplace equations of the form for arbitrary based on novel Helmholtz-type…
A new generalization of the non-conforming FEM to higher polynomial degrees
Mira Schedensack
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 Helm…
Instance optimal Crouzeix-Raviart adaptive finite element methods for the Poisson and Stokes problems
Christian Kreuzer, Mira Schedensack
We extend the ideas of Diening, Kreuzer, and Stevenson [Instance optimality of the adaptive maximum strategy, Found. Comput. Math. (2015)], from conforming approximations of the Po…
Comparison results for the Stokes equations
Carsten Carstensen, Karonline Köhler, Daniel Peterseim +1
This paper enfolds a medius analysis for the Stokes equations and compares different finite element methods (FEMs). A first result is a best approximation result for a P1 non-confo…