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Mixed finite elements for Bingham flow in a pipe
Tom Gustafsson, Philip L. Lederer
We consider mixed finite element approximations of viscous, plastic Bingham flow in a cylindrical pipe. A novel a priori and a posteriori error analysis is introduced which is base…
Hybridized Discontinuous Galerkin Methods for a Multiple Network Poroelasticity Model with Medical Applications
Johannes Kraus, Philip L. Lederer, Maria Lymbery +2
The quasi-static multiple network poroelastic theory (MPET) model, first introduced in the context of geomechanics, has recently found new applications in medicine. In practice, th…
A note on asymptotically exact a posteriori error estimates for mixed Laplace eigenvalue problems
Philip L. Lederer
We derive optimal and asymptotically exact a posteriori error estimates for the approximation of the Laplace eigenvalue problem. To do so, we combine two results from the literatur…
Uniformly well-posed hybridized discontinuous Galerkin/hybrid mixed discretizations for Biot's consolidation model
Johannes Kraus, Philip L. Lederer, Maria Lymbery +1
We consider the quasi-static Biot's consolidation model in a three-field formulation with the three unknown physical quantities of interest being the displacement …
A Hellan-Herrmann-Johnson-like method for the stream function formulation of the Stokes equations in two and three space dimensions
Philip L. Lederer
We introduce a new discretization for the stream function formulation of the incompressible Stokes equations in two and three space dimensions. The method is strongly related to th…