000015642 001__ 15642
000015642 005__ 20161115135325.0
000015642 04107 $$aeng
000015642 046__ $$k2013-06-12
000015642 100__ $$aAmara, M.
000015642 24500 $$aMesh Free Frontier-Based Formulation (Mf3) for High Frequency Helmholtz Problems

000015642 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000015642 260__ $$bNational Technical University of Athens, 2013
000015642 506__ $$arestricted
000015642 520__ $$2eng$$aWe propose a new solution methodology for solving efficiently Helmholtz problems. The main features of the proposed method are (a) the method is a boundary type formulation, and (b) the approximation of the method does not require the use of mesh. For this reason, the method is named Mesh Free Frontier-based Formulation (MF3). The MF3 method distinguishes itself from existing methods by (a) the integral formulation does not incur any singular integrals, (b) Bessel-type functions are used to approximate locally the sought after field, and (c) the computational effort is mainly in the evaluation of integrals of Bessel-type functions on a boundary. Consequently, the resulting algebraic linear system incurs a dense matrix whose size however is very small compared to a finite element system. Numerical examples performed in the case of two-dimensional Helmholtz problems –wave-guide and scattering problems-- will be presented to illustrate the potential of the MF3 method for solving efficiently high frequency wave problems. These results reveal that the MF3 method does not exhibit any pollution effect.

000015642 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015642 653__ $$a

000015642 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000015642 720__ $$aAmara, M.$$iDiaz, J.$$iDjellouli, R.
000015642 8560_ $$ffischerc@itam.cas.cz
000015642 8564_ $$s174453$$uhttps://invenio.itam.cas.cz/record/15642/files/1188.pdf$$yOriginal version of the author's contribution as presented on CD, section: CD-MS 24 ADVANCES IN MODELING OF WAVE PROPAGATION AND APPLICATIONS
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000015642 962__ $$r15525
000015642 980__ $$aPAPER