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Electromagnetic scattering at composite objects
(2011)Research ReportsSince matrix compression has paved the way for discretizing the boundary integral equation formulations of electromagnetics scattering on very fine meshes, preconditioners for the resulting linear systems have become key to efficient simulations. Operator preconditioning based on Calderon identities has proved to be a powerful device for devising preconditioners. However, this is not possible for the usual first-kind boundary formulations ...Report -
Multiple point evaluation on combined tensor product supports
(2011)Research ReportWe consider the multiple point evaluation problem for an ndimensional space of functions [−1, 1[d#$ R spanned by d-variate basis functions that are the restrictions of simple (say linear) functions to tensor product domains. For arbitrary evaluation points this task is faced in the context of (semi-)Lagrangian schemes using adaptive sparse tensor approximation spaces for boundary value problems in moderately high dimensions. We devise a ...Report -
Refined convergence theory for semi-Lagrangian schemes for pure advection
(2011)Research ReportWe consider generalized linear transient advection problems for differential forms on a bounded domain in Rn. We provide comprehensive a priori convergence estimates for their spatio-temporal discretization by means of a semi-Lagrangian approach combined with a discontinuous Galerkin method. We establish a new asymptotic estimate O(hr+1!−1 2 ) for the L2-norm of the error, where h is the spatial meshwidth, ! denotes the timestep, and r ...Report -
Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations
(2011)Research reportsIn this paper, we extend to the time-harmonic Maxwell equations the p-version analysis technique developed in [R. Hiptmair, A. Moiola and I. Perugia, Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation: analysis of the p-version, SIAM J. Numer. Anal., 49 (2011), 264-284] for Treff tz-discontinuous Galerkin approximations of the Helmholtz problem. While error estimates in a mesh-skeleton norm are derived parallel to the ...Report -
CSE Computational Science and Engineering
(2009)Annual report / Computational Science and EngineeringReport -
CSE Annual Report 2008/2009
(2009)CSE - Computational Science and Engineering, ETH Zurich, Annual ReportReport