Abstract : Recently we have introduced a new approach based on the Holland's formalism to deal with thin wire in the FDTD method. However stability problem occurs when a wire has its length very short compared to the FDTD cell size. To avoid CFL criterion reducing, an original procedure using a temporal Crank-Nicolson scheme is proposed. This approach is applied to the auxiliary equations of Holland's formalism only.
Christophe Guiffaut, Alain Reineix, Bernard Pecqueux. Local Crank-Nicolson Procedure for Short Thin Wire in the FDTD Method. Antennas and Propagation Symposium, Jul 2012, Chicago, France. pp.1-4. ⟨hal-00781844⟩