The accuracy of finite-difference analysis in electromagnetics can be qualitatively improved
by employing arbitrary local approximating functions, not limited to Taylor expansion …

In this paper, we develop a structure-preserving discretization of the Lagrangian framework
for electrodynamics, combining the techniques of variational integrators and discrete …

The purpose of this note… is to sort out my own thoughts… and to solicit ideas from others.
Lloyd N. Trefethen Three mysteries of Gaussian elimination Since 2008, when the first …

Solutions of many physical problems have salient local features that are qualitatively known
a priori (for example, singularities at point sources, edge and corners; boundary layers; …

The description of discrete electromagnetic fields is achieved with the Maxwell grid
equations, a set of matrix equations representing a spatial discretisation of Maxwell's …

Rigorous electromagnetic field (EMF) simulation of light diffraction from optical lithography
masks has become a standard requirement for the optimization of lithographic processes …

The paper presents a two-stage approach to solve a class of nonlinear 3-D eddy current
problems with high saturation, typical of induction heating processes. The proposed method …

The use of algebraic formulation for the solution of electromagnetic fields is becoming more
and more widespread. This paper presents the theoretical development of two algebraic …

The calculation of current densities in voxel-based high-resolution anatomy models allows
insight in the current distribution inside the human body. The geometric complexity of the …

A combination of the mesh-based finite integration technique with a modal expansion is
proposed for the solution of the eddy-current induction problem in geometries involving …