Edelvik, F.; Schuhmann, R.; Weiland, T. A general stability analysis of FIT/FDTD applied to lossy dielectrics and lumped elements. (English) Zbl 1054.78029 Int. J. Numer. Model. 17, No. 4, 407-419 (2004). The paper deals with the finite difference time-domain method (FDTD) used for transient solution of the Maxwell’s equations from electromagnetics. The authors have derived a closed-form expression for the stability of the FDTD for non-uniform grids and non-homogeneous materials. The analysis is also applied to lossy dielectrics and lumped elements. Sufficient conditions for stability of the FDTD method are derived using an energy method. In addition, a discussion of different discret energy definition is included. The method proposed here is generalizable among others to nonlinear lumped elements, dispersive and nonlinear materials, and to analyse absorbing boundary conditions. Reviewer: Iulian Coroian (Baia Mare) Cited in 5 Documents MSC: 78M20 Finite difference methods applied to problems in optics and electromagnetic theory 78M25 Numerical methods in optics (MSC2010) Keywords:Maxwell’s equations; finite integration technique; finite difference method; numerical stability PDFBibTeX XMLCite \textit{F. Edelvik} et al., Int. J. Numer. Model. 17, No. 4, 407--419 (2004; Zbl 1054.78029) Full Text: DOI