Anisotropic meshes are essential to deal with phenomena characterized by directional features. They offer a better compromise between computational effort and numerical approximation. How to generate anisotropic meshes is a challenging problem. The most common strategy is to consider a prescribed (discrete) metric tensor field M defined over a mesh domain Ω ⊂ R. Each metric tensor M ∈ M is a d ...

We study two a priori unrelated constructions: the spectrum of edge modes in a band topological insulator or superconductor with a physical edge, and the ground state entanglement spectrum in an extended system where an edge is simulated by an entanglement bipartition. We prove an exact relation between the ground state entanglement spectrum of such a system and the spectrum edge modes of the c...

Article history: Received 14 February 2012 Received in revised form 1 March 2013 Accepted 6 June 2013 Available online 27 June 2013

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| A simple and systematic derivation of anisotropic perfectly matched layers (PML) in cylindrical and spherical coordinates is presented. The derivation is based on the analytic continuation of Maxwell's Equations to complex space. Through eld transformations, results for Cartesian anisotropic PML media are recovered and, more importantly, a generalization of the anisotropic PML to cylindrical ...

Finite Elements in Analysis and Design ()-This paper gives a status on anisotropic mesh gradation. We present two 3D anisotropic formulations of mesh gradation. The metric at each point defines a well-graded smooth continuous metric field over the domain. The mesh gradation then consists in taking into account at each point the strongest size constraint given by all these continuous metric fiel...

We present the results of an optical study in which we evaluate the effect of anisotropic electron transport layers (ETL) and anisotropic hole transport layers (HTL) on the outcoupling efficiency of bottom emitting organic light emitting diodes (OLEDs). We demonstrate that optical anisotropy can have a profound influence on the outcoupling efficiency and introduce a number of design rules which...