Oct 14, 2017 · We propose here a new treatment at the corners of the interface which allows to design meshing rules for an arbitrary polygonal interface and then recover ...

In this paper we extended the approximation theory for transmission problems with sign-changing coefficients with the T-coercivity approach. The novelty lies in ...

We propose here a new treatment at the corners of the interface which allows to design meshing rules for an arbitrary polygonal interface and then recover ...

This treatment relies on the use of simple geometrical transforms to define the meshes. Numerical results illustrate the importance of this new design.

Oct 9, 2017 · Transmission problems with sign-changing coefficients occur in electromagnetic theory in the presence of negative materials surrounded by ...

We propose here a new treatment at the corners of the interface which allows to design meshing rules for an arbitrary polygonal interface and then recover ...

Oct 14, 2017 · In this paper we extended the approximation theory for transmission problems with sign-changing coefficients with the T-coercivity approach. The ...

The aim of this section is to construct a generalized finite element method in order to approximate the solution u of (2.1) on the coarse mesh 𝒯H even if σ is a ...

Carvalho, P. Ciarlet Jr., Mesh requirements for the finite element approximation of problems with sign-changing coefficients, preprint hal-01335153v1 (2016).

Then, under some assumptions on the mesh, we explain how one can use classical finite element methods to approximate the spectrum as well as the eigenfunctions ...