A fast-multipole unified technique for the analysis of continuum mechanics problems with the boundary element methods

2015 ◽  
Author(s):  
Hélvio de Farias Costa Peixoto ◽  
Larissa Simões Novelino ◽  
Ney Augusto Dumont
Keyword(s):  
Boundary Element ◽  
Continuum Mechanics ◽  
Boundary Element Methods ◽  
Fast Multipole

scholarly journals A fast multipole accelerated BEM for 3-D elastic wave computation

2008 ◽  
pp. 701-712
Author(s):  
Stéphanie Chaillat ◽  
Marc Bonnet ◽  
Jean- François Semblat
Keyword(s):  
Elastic Wave ◽  
Frequency Domain ◽  
Boundary Element ◽  
Present Article ◽  
Maxwell Equations ◽  
Boundary Element Methods ◽  
Matrix Equations ◽  
Fast Multipole ◽  
Numerical Examples ◽  
Gmres Iteration

The solution of the elastodynamic equations using boundary element methods (BEMs) gives rise to fully-populated matrix equations. Earlier investigations on the Helmholtz and Maxwell equations have established that the Fast Multipole (FM) method reduces the complexity of a BEM solution to N log2 N per GMRES iteration. The present article addresses the extension of the FM-BEM strategy to 3D elastodynamics in the frequency domain. Efficiency and accuracy are demonstrated on numerical examples involving up to N = O(106) boundary nodal unknowns.

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