A finite-different time-domain subgrid algorithm locally refines the mesh at regions requiring
higher resolution. A novel separation of spatial and temporal subgridding interfaces is …

We present a multi-resolution approach for 3-D magnetotelluric forward modelling. Our
approach is motivated by the fact that fine-grid resolution is typically required at shallow …

In this study we consider adaptive mesh refinement for the solution of Maxwell's equations in
the quasi-static or diffusion regime. We propose a new finite volume OcTree discretization …

In numerical simulations of Maxwell's equations for problems with disparate geometric
scales, it is often advantageous to use grids of varying densities over different portions of the …

Instability has been a major problem in finite-difference time-domain (FDTD) subgridding
methods. Reciprocity has been proposed to overcome the problem but with limited success …

To preserve accuracy in a grid with arbitrary subgrids, a finite-difference time-domain
(FDTD) subgridding scheme, in general, would result in an unsymmetric numerical system …

In this article, we develop a systematic approach to derive symmetric positive semi-definite
(SPD) finite-difference time-domain (FDTD) subgridding operators in both space and time for …

One of the chief challenges of the finite-difference time-domain (FDTD) subgridding
algorithm is developing a field-coupling scheme to avoid late-time instability resulting from …

The finite difference time domain (FDTD) method is a common, robust simulation technique
for transient electromagnetic interactions with complicated structures. However, the standard …

A finite-element formulation based on a discrete electromagnetism is developed to simulate
electro-quasistatic fields on unstructured meshes. The presented formulation takes dielectric …