Marching On-In-Time Solution of the Time Domain Magnetic Field Integral Equation Using a Predictor-Corrector Scheme

An efficient explicit marching on in time solver for magnetic field volume integral equation

“…The matrix system (3) is in the form an ordinary differential equation and is integrated in time using a PE(CE) m multistep method [5] to compute the samples of the unknown coefficients {I i } n . At the prediction/correction stages of every time step, matrix equation (3) is solved.…”

“…The final semi-discrete equation is integrated in time using a PE(CE) m multistep scheme. At the prediction/correction stages of every time step, a system with Gram matrix is solved [5]. For point testing in space, the Gram matrix consist of four diagonal sub-matrix blocks; its inverse has the same structure and is computed and stored before time marching.…”

An explicit MOT scheme for solving the TD-EFVIE on nonlinear and dispersive scatterers

“…The first-order ODE system represented by (5)- (7), is integrated in time using a P E(CE) m scheme [2] to obtain unknownsD j ,Ē j , andP q j .…”

“…In this work, the coupled system of time domain electric field volume integral equation (TD-EFVIE) and an NL-S-ODE accounting for Kerr nonlinearity along with Lorentz dispersion relation is solved using an explicit MOT scheme [2]. The proposed solver expands the unknown electric field intensity and flux density and polarization densities using half and full Schaubert-Wilton-Glisson (SWG) basis functions in space [3].…”

A Novel Smoothing Scheme of Temporal Basis Function Independent Method in Mot Based Tdie

“…Later, implicit time stepping algorithms and appropriate smooth temporal basis functions are also proposed to overcome the above mentioned drawbacks [5][6][7][8][9][10]. Recent studies show that accuracy computation of the MOT impedance matrix is considered as a cure factor, effecting the late time stability and accuracy of the MOT solver [11][12][13][14][15].…”