This article discusses finite element Galerkin schemes for a number of linear model
problems in electromagnetism. The finite element schemes are introduced as discrete …

We propose stabilized interior penalty discontinuous Galerkin methods for the indefinite time-
harmonic Maxwell system. The methods are based on a mixed formulation of the boundary …

We describe the main characteristics of the mortar element method, together with the usual
arguments for its numerical analysis in an abstract framework. We illustrate this presentation …

Multiphysics Modeling: Numerical Methods and Engineering Applications: Tsinghua
University Press Computational Mechanics Series describes the basic principles and …

In the framework of domain decomposition methods, we extend the main ideas of the mortar
element method to the numerical solution of Maxwell's equations (in wave form) by H (curl) …

We are interested in the approximation of partial differential equations on domains
decomposed into two (or several) subdomains featuring non-conforming interfaces. The non …

When applying isogeometric analysis to engineering problems, one often deals with multi-
patch spline spaces that have incompatible discretisations, eg in the case of moving objects …

Micromagnetic simulations provide guidelines for the development of composite magnetic
materials and magnetic devices. The granular structure of a material and the magnetic …

Abstract This work proposes Isogeometric Analysis as an alternative to classical finite
elements for simulating electric machines. Through the spline-based Isogeometric …

In this paper we present a nonconforming nonoverlapping domain decomposition method to
approximate the eddy current problem, formulated in terms of the electric field variable, in …