Lumped finite elements for reaction-cross-diffusion systems on stationary surfaces

Please cite this article in press as: M. Frittelli, et al., Lumped finite elements for reaction–cross-diffusion systems on stationary surfaces, Computers and Mathematics with Applications (2017), http://dx.doi.org/10.1016/j.camwa.2017.07.044. 2 M. Frittelli et al. / Computers and Mathematics with Applications ( ) – the concept of cross-diffusion includes well-known processes such as chemoand haptotaxis [5]. In this paper we consider reaction–cross-diffusion systems (RCDSs) of r ≥ 1 equations on a stationary surface of the form