Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes

Author:

Fezoui Loula,Lanteri Stéphane,Lohrengel Stéphanie,Piperno Serge

Publisher

EDP Sciences

Subject

Applied Mathematics,Modelling and Simulation,Numerical Analysis,Analysis,Computational Mathematics

Reference27 articles.

1. F. Bourdel, P.-A. Mazet and P. Helluy, Resolution of the non-stationary or harmonic Maxwell equations by a discontinuous finite element method. Application to an E.M.I. (electromagnetic impulse) case.Comput. Method Appl. Sci. Engrg.(1991) 405–422.

2. N. Canouet, L. Fezoui and S. Piperno, A discontinuous galerkin method for 3d maxwell's equation on non-conforming grids, inSixth International Conference on Mathematical and Numerical Aspects of Wave Propagation. G.C. Cohen Ed., Springer, Jyvskyl, Finland (2003) 389–394.

3. P. Ciarlet,The Finite Element Method for Elliptic Problems. North Holland-Elsevier Science Publishers, Amsterdam, New York, Oxford (1978).

4. J.-P. Cioni, L. Fezoui, L. Anne and F. Poupaud, A parallel FVTD Maxwell solver using 3D unstructured meshes, in13th annual review of progress in applied computational electromagnetics, Monterey, California (1997) 359–365.

5. B. Cockburn, G.E. Karniadakis and C.-W. Shu, Eds., Discontinuous Galerkin methods. Theory, computation and applications.Lect. Notes Comput. Sci. Eng.11(2000).

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