Orateur
Mohamed Amara
(Université de Pau)
Description
the presentation deals about a procedure for selecting basis function
orientation to improve the e?fficiency of solution methodologies that
employ local plane-wave approximations. The proposed adaptive
approach consists of a local wave tracking strategy. Each plane-wave
basis set within considered elements of the mesh partition is
individually or collectively rotated to best align one function of the
set with the local propagation direction of the field.
Systematic determination of the approximated local direction of the
field inside the computational domain is formulated as a minimization
problem.
To illustrate the salient features and evaluate the performance of the
proposed wave tracking approach, error estimates as well as numerical
results are presented for the case of a least-squares method (LSM)
using plane-wave based approach. The numerical results obtained for
the case of a two-dimensional rigid scattering problem indicate that
(a) convergence was achievable to a prescribed level of accuracy, even
upon initial application of the tracking wave strategy outside the
pre-asymptotic convergence region, (b) the proposed approach reduced
the size of the resulting system by up to two orders of magnitude, depending on the frequency range, with respect to the size of the standard LSM system
Auteur principal
Mohamed Amara
(Université de Pau)
