A 3D curvilinear Discontinuous Galerkin time-domain method for nanoscale light-matter interactions

Abstract : Classical finite element methods rely on tessellations composed of straight-edged elements mapped linearly from a reference element, on domains which physical boundaries and interfaces are indifferently straight or curved. This approximation represents a serious hindrance for high-order methods, since they limit the accuracy of the spatial discretization to second order. Thus, exploiting an enhanced representation of physical geometries is in agreement with the natural procedure of high-order methods, such as the discontinuous Galerkin method. In this framework, we propose and validate an implementation of a high-order mapping for tetrahedra, and then focus on specific photonics and plasmonics setups to assess the gains of the method in terms of memory and performances.
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Journal articles
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https://hal.inria.fr/hal-01290077
Contributor : Claire Scheid <>
Submitted on : Thursday, March 17, 2016 - 3:28:14 PM
Last modification on : Thursday, May 3, 2018 - 1:32:58 PM

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  • HAL Id : hal-01290077, version 1
  • DOI : 10.1016

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Jonathan Viquerat, Claire Scheid. A 3D curvilinear Discontinuous Galerkin time-domain method for nanoscale light-matter interactions. Journal of Computational and Applied Mathematics, Elsevier, 2015, ⟨10.1016⟩. ⟨hal-01290077⟩

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