7 citations · 10 across the 5 of their papers we have counts for
7 papers
Numerical investigation of a homogenized model with effective interface conditions for Stokes flow through porous membranes
Jonas Knoch, Pietro Italiano, Markus Gahn +2
We investigate numerically fluid flow through a thin porous layer, which is modelled as a lower-dimensional interface separating two bulk domains. At this interface, we impose effe…
Small deformations of a near cylindrical tube for the Canham-Helfrich Energy with applications to biological membranes
Charles M. Elliott, Carsten Gräser, Philip J. Herbert
In this article we develop a quadratic energy which approximates the Canham-Helfrich energy for a tube-like surface with clamped boundary and area constraint. The energy is suited…
An evolving space framework for Oseen equations on a moving domain
Ana Djurdjevac, Carsten Gräser, Philip J. Herbert
This article considers non-stationary incompressible linear fluid equations in a moving domain. We demonstrate the existence and uniqueness of an appropriate weak formulation of th…
CRC 1114 - Report Membrane Deformation by N-BAR Proteins: Extraction of membrane geometry and protein diffusion characteristics from MD simulations
Jan Henning Peters, Carsten Gräser, Rupert Klein
We describe simulations of Proteins and artificial pseudo-molecules interacting and shaping lipid bilayer membranes. We extract protein diffusion Parameters, membrane deformation p…
On differentiability of the membrane-mediated mechanical interaction energy of discrete-continuum membrane-particle models
Tobias Kies, Carsten Gräser
We consider a discrete-continuum model of a biomembrane with embedded particles. While the membrane is represented by a continuous surface, embedded particles are described by rigi…
Discretization error estimates for penalty formulations of a linearized Canham-Helfrich type energy
Carsten Gräser, Tobias Kies
This paper is concerned with minimization of a fourth-order linearized Canham-Helfrich energy subject to Dirichlet boundary conditions on curves inside the domain. Such problems ar…
A note on Poincaré- and Friedrichs-type inequalities
Carsten Gräser
We introduce a simple criterion to check coercivity of bilinear forms on subspaces of Hilbert-spaces and Banach-spaces. The presented criterion allows to derive many standard and n…