Zurück zu den Preprints des Jahres 2011


2011-11

An operator-splitting finite element method for the efficient parallel solution of multi-dimensional population balance systems

by Ganesan, S.; Tobiska, L..


Series: 2011-11, Preprints

MSC:
65M60 Finite elements, ~Rayleigh-Ritz and Galerkin methods, finite methods
65Y20 Complexity and performance of numerical algorithms

Abstract:
An efficient and novel numerical scheme for multi-dimensional population balance systems is presented in this paper. The proposed numerical scheme can be used to solve population balance systems in $\mathbb{R}^{d+s}$, where $d=1,~2,~3$ and $s>1$ are the dimensions of the physical and internal property spaces. The numerical scheme is based on operator-splitting finite element method, and it alleviates the ``curse of dimensionality

Keywords:
Population balance systems, Crystallization, Finite elements, Operator-splitting, Simulation