Rare earth permanent magnet (REPM) motors underpin various emerging fields in
electronic and mechanical industries. The rapid growth of renewable energy industries …

This paper reviews the state of the art and discusses very recent mathematical
developments in the field of adaptive boundary element methods. This includes an overview …

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 …

In this paper, an adaptive refinement technique using the scaled boundary finite element
method (SBFEM) is proposed. The salient feature of this technique is that it is not required to …

For the numerical treatment of elliptic boundary value problems, the coupling of boundary
element methods (BEM) and finite element methods (FEM) is widely used. Usually, the FEM …

For the first time, a nonlinear interface problem on an unbounded domain with nonmonotone
set-valued transmission conditions is analyzed. The investigated problem involves a …

Various applications ranging from spintronic devices, giant magnetoresistance sensors, and
magnetic storage devices, include magnetic parts on very different length scales. Since the …

We present a FEM–BEM coupling strategy for time-harmonic acoustic scattering in media
with variable sound speed. The coupling is realized with the aid of a mortar variable that is …

We prove new optimality results for adaptive mesh refinement algorithms for non-symmetric,
indefinite, and time-dependent problems by proposing a generalization of quasi …

We prove local inverse-type estimates for the four non-local boundary integral operators
associated with the Laplace operator on a bounded Lipschitz domain $\Omega $ in …