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B. Kapidani, J. Schöberl:
"A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in open domians";
in: "Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation", 1; M. Kaltenbacher, J. Melenk, L. Nannen, F. Toth (ed.); issued by: TU Wien, Inst. of Mechanics a. Mechatronics, Inst. of Analysis a. Sci.Comp.; Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, TU Wien, Inst. of Mechanics a. Mechatroncis, Inst. of Analysis a. Sci. Comp., Wien, 2019, ISBN: 978-3-200-06511-6, 432 - 433.

AbstractA Discontinuous Galerkin (DG) approach forthe time dependent Maxwell equations is in-troduced, based on the covariant projection, oneach element of the mesh, of an orthogonal modalbasis ofL2(^K)originally defined on a referenceelement^K. This approach leads to an explicittime stepping scheme for which the the massmatrix is at mostd×dblock-diagonal (ind=2,3spatial dimensions) and other discrete bilin-ear forms involved in the scheme can be com-puted and stored only once on the reference el-ement. Open boundaries are also handled natu-rally in the formulation through a complex stretch-ing based approach

http://dx.doi.org/10.34726/waves2019