Published June 23, 2014 | Version v1
Conference paper

Curvilinear DGTD method for nanophotonics applications

Description

Classical finite element methods rely on tessellations composed of straight-edged elements mapped linearly from a reference element, on domains which physical boundaries are indifferently straight or curved. This approximation represents serious hindrance for high-order methods, since they limit the precision of the spatial discretization to second order. Thus, exploiting an enhanced representation of the physical geometry of a considered problem is in agreement with the natural procedure of high-order methods, such as the discontinuous Galerkin method. In the latter framework, we propose and validate an implementation of a high-order mapping for tetrahedra, and then focus on specific nanophotonics setups to assess the gains of the method in terms of memory and performances.

Abstract

International audience

Additional details

Identifiers

URL
https://hal.science/hal-01403876
URN
urn:oai:HAL:hal-01403876v1