Efficient, accurate and flexible finite element solvers for chemotaxis problems (original) (raw)

Computers & Mathematics with Applications, 2012

Abstract

ABSTRACT In the framework of finite element discretizations, we introduce a fully nonlinear Newton-like method and a linearized second order approach in time applied to certain partial differential equations for chemotactic processes incorporating two entities, a chemical agent and the reacting population of certain biological organisms/species. We investigate the benefit of a corresponding monolithic approach and the decoupled variant. In particular, we analyze accuracy, efficiency and stability of different methods and their dependences on certain parameters in order to identify a well suited finite element solver for chemotaxis problems.

Stefan Turek hasn't uploaded this paper.

Let Stefan know you want this paper to be uploaded.

Ask for this paper to be uploaded.