15 citations · 38 across the 11 of their papers we have counts for
3 papers · 1 filter
A hybrid mass transport finite element method for Keller-Segel type systems
José Antonio Carrillo, Niklas Kolbe, Mária Lukácová-Medviďová
We propose a new splitting scheme for general reaction-taxis-diffusion systems in one spatial dimension capable to deal with simultaneous concentrated and diffusive regions as well…
An adaptive rectangular mesh administration and refinement technique with application in cancer invasion models
Niklas Kolbe, Nikolaos Sfakianakis
We present an administration technique for the bookkeeping of adaptive mesh refinement on (hyper-)rectangular meshes. Our technique is a unified approach for h-refinement on 1-, 2-…
Existence and uniqueness of global classical solutions to a two species cancer invasion haptotaxis model
Jan Giesselmann, Niklas Kolbe, Maria Lukacova-Medvidova +1
We consider a haptotaxis cancer invasion model that includes two families of cancer cells. Both families, migrate on the extracellular matrix and proliferate. Moreover the model de…