The multi-ion transport and reaction model (MITReM) is used to simulate electrochemical processes. The governing partial differential equations (PDEs) are discretized in space by a combined finite element and residual-distribution scheme. The discrete system is linearized with Newton's method which results in a series of linear systems. The focus of this work is on the development of a stable and efficient point-based algebraic multigrid (PAMG) method for the solution of the linear systems which arise in the MITReM simulation.
Peter Thum
Elektrochemische Simulation, Electrochemical Simulation Lineare Gleichungssysteme, Linear Systems Mehrgitterverfahren, Multigrid Multi-Ionen Transport und Reaktionsmodell, Multi-Ion Transport and Reaction Model Péclet Zahl, Peclet Number