In the framework of Symmetric Galerkin Boundary Element Method, different techniques in these last years have been proposed to reduce the computational cost of the Galerkin matrix evaluation: in particular, the Panel Clustering Method [25,26] it is now largely used. On the other side, very recently a theory on restriction matrices has been developed to take computational advantage of possible symmetry properties of the differential or integral problem at hand [4,5]. Here we couple Panel Clustering Method with restriction matrices, presenting the most important algorithms employed and showing several examples, comparisons and numerical results.
Panel Clustering Method and Restriction Matrices for Symmetric Galerkin BEM / Aimi, Alessandra; Diligenti, Mauro; Lunardini, F.. - In: NUMERICAL ALGORITHMS. - ISSN 1017-1398. - 40 (4):(2005), pp. 355-382. [10.1007/s11075-005-8136-x]
Panel Clustering Method and Restriction Matrices for Symmetric Galerkin BEM
AIMI, Alessandra;DILIGENTI, Mauro;
2005-01-01
Abstract
In the framework of Symmetric Galerkin Boundary Element Method, different techniques in these last years have been proposed to reduce the computational cost of the Galerkin matrix evaluation: in particular, the Panel Clustering Method [25,26] it is now largely used. On the other side, very recently a theory on restriction matrices has been developed to take computational advantage of possible symmetry properties of the differential or integral problem at hand [4,5]. Here we couple Panel Clustering Method with restriction matrices, presenting the most important algorithms employed and showing several examples, comparisons and numerical results.File | Dimensione | Formato | |
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