This book is devoted to the study of the acoustic wave equation and of the Maxwell system,
the two most common wave equations encountered in physics or in engineering. The main …

This book primarily concerns quasilinear and semilinear elliptic and parabolic partial
differential equations, inequalities, and systems. The exposition leads the reader through the …

The complex magneto-mechanical coupling that governs the material response of
magnetorheological elastomers (MREs) requires computational tools to assist the design …

We consider H (curl; Ω)-elliptic problems that have been discretized by means of Nédélec's
edge elements on tetrahedral meshes. Such problems occur in the numerical computation of …

Native application of finite-element method (FEM) to the analysis of skin and proximity
effects in multi-turn coils results in large equation systems, whose solution needs long …

In this paper a novel symmetric finite element method-boundary element method-coupling
for the E-based eddy current model is derived in a rigorous fashion. To that end, the …

The boundary element method (BEM) has become an important tool to provide approximate
solutions for boundary integral equations covering a rich area of applications in engineering …

A virtual element method (VEM) with the first-order optimal convergence order is developed
for solving two-dimensional Maxwell interface problems on a special class of polygonal …

The goal of this paper is to contribute to the field of nondestructive testing by eddy currents.
We provide a mathematical analysis and a numerical framework for simulating the imaging …

This study investigates experimentally and numerically the response of a
magnetorheological elastomer (MRE) layer placed atop an electromagnetic coil. The MRE …