Wong, M. F.; Fouad Hanna, V.; Wiart, J. Finite element formulation of space-time subgridding scheme in the FDTD method. (English) Zbl 1071.78512 Int. J. Numer. Model. 13, No. 2-3, 127-137 (2000). Summary: A new point of view based on a finite element formulation for solving Maxwell’s equations in the time domain is presented to deal with grid refinements in FDTD. The formulation allows the coupling of non-conforming structured or unstructured meshes. As a special case, it can advantageously derive stable space-time subgridding schemes in FDTD. Numerical experiments demonstrate the efficiency and the validity of the technique. Cited in 1 Document MSC: 78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory 78M20 Finite difference methods applied to problems in optics and electromagnetic theory 65Z05 Applications to the sciences 78A25 Electromagnetic theory (general) PDFBibTeX XMLCite \textit{M. F. Wong} et al., Int. J. Numer. Model. 13, No. 2--3, 127--137 (2000; Zbl 1071.78512) Full Text: DOI References: [1] Calculation of the power deposited in tissues close to a handset antenna using a non-uniform FDTD. In Electricity and Magnetism in Biology and Medicine, (ed.). Plenum Press: Oxford, Second World Congress following BEMS, 1998. [2] Okoniewski, IEEE Transition on Antennas and Propagation 45 pp 422– (1997) [3] Increase of the reduction factor for subgridding approach in the FDTD method. PIERS 98, 1998. [4] Wong, IEEE Transition on Magnetics 31 pp 1618– (1995) [5] Begassat, Microwave Optics and Technology Letters 13 pp 99– (1996) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.