14 citations · 38 across the 7 of their papers we have counts for
7 papers
Lipolysis on Lipid Droplets: Mathematical Modelling and Numerical Discretisations
Reymart Salcedo-Lagunero, Klemens Fellner, Thomas Apel +2
Lipolysis is a life-essential metabolic process, which supplies fatty acids stored in lipid droplets to the body in order to match the demands of building new cells and providing c…
Pressure-robust and conforming discretization of the Stokes equations on anisotropic meshes
Volker Kempf
Pressure-robust discretizations for incompressible flows have been in the focus of research for the past years. Many publications construct exactly divergence-free methods or use a…
Brezzi--Douglas--Marini interpolation on anisotropic simplices and prisms
Volker Kempf
The Brezzi--Douglas--Marini interpolation error on anisotropic elements has been analyzed in two recent publications, the first focusing on simplices with estimates in , the o…
Pressure-robustness for the Stokes equations on anisotropic meshes
Volker Kempf
Pressure-robustness has been widely studied since the conception of the notion and the introduction of the reconstruction approach for classical mixed methods in [5]. Using discret…
Pressure-robust error estimate of optimal order for the Stokes equations on domains with edges
Thomas Apel, Volker Kempf
The velocity solution of the incompressible Stokes equations is not affected by changes of the right hand side data in form of gradient fields. Most mixed methods do not replicate…
A nonconforming pressure-robust finite element method for the Stokes equations on anisotropic meshes
Thomas Apel, Volker Kempf, Alexander Linke +1
Most classical finite element schemes for the (Navier-)Stokes equations are neither pressure-robust, nor are they inf-sup stable on general anisotropic triangulations. A lack of pr…
Brezzi-Douglas-Marini interpolation of any order on anisotropic triangles and tetrahedra
Thomas Apel, Volker Kempf
Recently, the -conforming finite element families for second order elliptic problems have come more into focus, since due to hybridization and subseque…