TY - JOUR
T1 - A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced-basis method
AU - Iapichino, L.
AU - Volkwein, S.
AU - Wesche, A.
PY - 2016
Y1 - 2016
N2 - In this paper, the authors consider a parametrized non-linear parabolic differential equation, which is motivated by lithium-ion battery models. A standard finite volume discretization leads to a high-dimensional discrete non-linear problem so that simulation of the parametrized problem for various different parameters is very costly. Therefore, the reduced-basis method is applied, so that the number of degrees of freedom is reduced significantly and a fast numerical simulation of the model is possible. To control the error, an a-posteriori error estimator is derived. Numerical experiments show the efficiency of the approach.
AB - In this paper, the authors consider a parametrized non-linear parabolic differential equation, which is motivated by lithium-ion battery models. A standard finite volume discretization leads to a high-dimensional discrete non-linear problem so that simulation of the parametrized problem for various different parameters is very costly. Therefore, the reduced-basis method is applied, so that the number of degrees of freedom is reduced significantly and a fast numerical simulation of the model is possible. To control the error, an a-posteriori error estimator is derived. Numerical experiments show the efficiency of the approach.
KW - a-posteriori error analysis
KW - Finite volume schemes
KW - parameter estimation
KW - POD-greedy algorithm
KW - reduced-basis method
UR - http://www.scopus.com/inward/record.url?scp=84976262986&partnerID=8YFLogxK
U2 - 10.1080/13873954.2016.1198387
DO - 10.1080/13873954.2016.1198387
M3 - Article
AN - SCOPUS:84976262986
SN - 1387-3954
VL - 22
SP - 362
EP - 379
JO - Mathematical and Computer Modelling of Dynamical Systems: methods, tools and applications in engineering and related sciences
JF - Mathematical and Computer Modelling of Dynamical Systems: methods, tools and applications in engineering and related sciences
IS - 4
ER -
