The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

This paper reviews the recent progress of fast integral equation solvers at the Center for
Computational Electromagnetics and Electromagnetics laboratory, University of Illinois at …

We present a theoretical model for two-dimensional (2D) superconducting quantum
interference device (SQUID) and superconducting quantum interference filter (SQIF) arrays …

Interface problems involving the non-homogeneous flux jump condition are critical for
engineering designs in the magnetostatic/electrostatic field. In applications, such as plasma …

In this article we address efficiency issues in implementation of Monte Carlo algorithm For
3D capacitance extraction. Error bounds in statistical capacitance estimation are discussed …

Abstract Analysis of many electromagnetic problems in engineering, such as
electromagnetic interference (EMI) calculations or estimation of interconnnect coupling …

In this chapter, we describe high-accuracy parasitic extraction by both fast integral equation
methods as well as random-walk-based methods. For any extraction application, the …

We present a robust integral equation method for the calculation of the electrostatic and
thermal properties of systems made of piecewise homogeneous, high contrast materials. By …

An efficient static fast-multipole-method (FMM)-based algorithm is presented in this paper for
the evaluation of the parasitic capacitance of three-dimensional microstrip signal lines …

The success of the wavelet boundary element method (BEM) depends on its matrix
compression capability. The wavelet Galerkin BEM (WGBEM) based on non-standard form …