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| Detailed view | Conference, seminar, workshop communication |
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| 9th European Conference on Numerical Mathematics and Advanced Applications - ENUMATH 2011, Leicester : United Kingdom (2011) |
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| A hybridizable discontinuous Galerkin method for solving 3D time-harmonic Maxwell's equations |
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| Liang Li1Stephane Lanteri1Ronan Perrussel2 |
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| We study the numerical solution of 3d time-harmonic Maxwell's equations by a hybridizable discontinuous Galerkin method. A hybrid term representing the tangential component of the numerical trace of the magnetic field is introduced. The global system to solve only involves the hybrid term as unknown. We show that the reduced system has properties similar to wave equation discretizations and the tangential components of the numerical traces for both electric and magnetic fields are single-valued. On the example of a plane wave propagation in vacuum the approximate solutions for both electric and magnetic fields have an optimal convergence order. |
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| 1: | INRIA Sophia Antipolis - NACHOS |
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| 2: | LAPLACE - Laboratoire Plasma et Conversion d'Energie |
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| Time-harmonic Maxwell equations – Hybridized Discontinuous Galerkin |
| hal-00681964, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00681964 | |
| oai:hal.archives-ouvertes.fr:hal-00681964 | |
| From: Stéphane Lanteri | |
| Submitted on: Friday, 23 March 2012 08:43:42 | |
| Updated on: Friday, 23 March 2012 08:43:42 | |