Electromagnetic wave equation: discretization with Whitney finite elements.


Electromagnetic wave equation: discretization with Whitney finite elements.
Supervisor
Chiara Venturini - Università di Verona

Date and time
Friday, November 18, 2016 at 10:30 AM

Contact person
Giandomenico Orlandi

Publication date
November 11, 2016

Department
Computer Science  

Summary

Motivated by some concrete problems we study the electromagnetic wave equation in a 2-dimensional unbounded domain in vacuum.
As we know the analytical solution, we analyse the dispersion and dissipation of the numerical approximation.
For the discretization in space we adopt the Finite Element Method (FEM) based on edge/nodal elements on a uniform triangulation.
For the time discretization we choose the Leap-Frog finite difference scheme.
The results obtained in Matlab are illustrated and the two methods are compared.

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