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.<br />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.<br />Findings: the authors develop an efficient reduced basis approach for the fast and robust numerical solution of the P²DE system.<br />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.