Curvilinear DGTD method for nanophotonics applications

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-01403876
Contributor : Jonathan Viquerat <>
Submitted on : Monday, November 28, 2016 - 8:26:48 AM
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  • HAL Id : hal-01403876, version 1

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Jonathan Viquerat, Claire Scheid. Curvilinear DGTD method for nanophotonics applications. 6th International conference on advanced computational methods in engineering, Jun 2014, Gand, Belgium. ⟨hal-01403876⟩

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