The reduced basis method applied to transport equations of a lithium-ion battery

Abstract

Purpose

In this paper, the authors aim to show how to apply the reduced basis method to the transport equations of a lithium-ion battery.

Design/methodology/approach

The authors consider a coupled system of nonlinear parameterized partial differential equations (P2DEs), which models the concentrations and the potentials in lithium-ion batteries.

Findings

The authors develop an efficient reduced basis approach for the fast and robust numerical solution of the P2DE system.

Originality/value

By the reduced basis method, the authors get (reduced) solutions with a speed up factor of up to 18 in the presented examples in comparison to the original finite volume solutions.

Citation

Volkwein, S. and Wesche, A. (2013), "The reduced basis method applied to transport equations of a lithium-ion battery", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 32 No. 5, pp. 1760-1772. https://doi.org/10.1108/COMPEL-04-2013-0115