activity
20162026
most citedOn reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem

44 citations · 124 across the 26 of their papers we have counts for

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Showing 2022Show all

5 papers · 1 filter

math.NA2022

A conforming auxiliary space preconditioner for the mass conserving mixed stress method

Lukas Kogler, Philip L. Lederer, Joachim Schöberl

We are studying the efficient solution of the system of linear equation stemming from the mass conserving mixed stress (MCS) method discretization of the Stokes equations. To that…

math.NA2022

Analysis of Weakly Symmetric Mixed Finite Elements for Elasticity

Philip L. Lederer, Rolf Stenberg

We consider mixed finite element methods for linear elasticity where the symmetry of the stress tensor is weakly enforced. Both an a priori and a posteriori error analysis are give…

math.NA2022

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…

math.NA2022

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…

math.NA2022★ 1 cited

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…