A linear finite volume method for nonlinear cross-diffusion systems

作者:Murakawa Hideki*
来源:Numerische Mathematik, 2017, 136(1): 1-26.
DOI:10.1007/s00211-016-0832-z

摘要

In this paper, we propose and analyze a linear finite volume scheme for general nonlinear cross-diffusion systems. The scheme consists of discretization of linear elliptic equations and pointwise explicit algebraic corrections at each time step. Therefore, the scheme can be implemented very easily, moreover, it is unconditionally stable. We establish error estimates in the norm.

  • 出版日期2017-5