Optimal error estimate for energy-preserving splitting schemes for Maxwell's equations

摘要

Two efficient splitting schemes are developed for 3D Maxwell's equations. The schemes are energy-preserving and unconditionally stable, while being implemented explicitly. Rigorous optimal error estimates are established for the proposed schemes, and especially the constant in the error estimates is only O(T). Numerical results confirm the theoretical analysis, and numerical comparison with some existing methods shows the good performance of the present schemes. (C) 2018 Elsevier Inc. All rights reserved.