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 discuss the finite element approximation of eigenvalue problems associated with
compact operators. While the main emphasis is on symmetric problems, some comments …

Although the roots of the “Finite Element Method” can be found in the work of Courant [84],
the method really took off in the 1950's when engineers started to solve numerically …

The purpose of this book is to provide an up-to-date introduction to the time-domain finite
element methods for Maxwell's equations involving metamaterials. Since the first successful …

In this popular text for an Numerical Analysis course, the authors introduce several major
methods of solving various partial differential equations (PDEs) including elliptic, parabolic …

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 …

We investigate the finite element methods for solving time-dependent Maxwell equations
with discontinuous coefficients in general three-dimensional Lipschitz polyhedral domains …

We consider the Maxwell equations in a domain with Lipschitz boundary and the boundary
integral operator A occuring in the Calderón projector. We prove an inf-sup condition for A …

The relaxed micromorphic model is a generalized continuum model that is well-posed in the
space X=[H 1] 3×[H (curl)] 3. Consequently, finite element formulations of the model rely on …

We present a low order virtual element discretization for time dependent Maxwell's
equations, which allow for the use of general polyhedral meshes. Both the semi-and fully …