A fast hierarchical dual boundary element method for three-dimensional elastodynamic crack problems

作者: I. Benedetti , M. H. Aliabadi

DOI: 10.1002/NME.2929

关键词:

摘要: In this work a fast solver for large‐scale three‐dimensional elastodynamic crack problems is presented, implemented, and tested. The dual boundary element method in the Laplace …

参考文章(47)
M.H. Aliabadi, A new generation of boundary element methods in fracture mechanics International Journal of Fracture. ,vol. 86, pp. 91- 125 ,(1997) , 10.1023/A:1007381025099
W. Hackbusch, B. N. Khoromskij, A sparse H -matrix arithmetic. Part II: application to multi-dimensional problems Computing. ,vol. 64, pp. 21- 47 ,(2000) , 10.1007/PL00021408
Mario Bebendorf, Approximation of boundary element matrices Numerische Mathematik. ,vol. 86, pp. 565- 589 ,(2000) , 10.1007/PL00005410
Hiroyuki Fujiwara, THE FAST MULTIPOLE METHOD FOR INTEGRAL EQUATIONS OF SEISMIC SCATTERING PROBLEMS Geophysical Journal International. ,vol. 133, pp. 773- 782 ,(1998) , 10.1046/J.1365-246X.1998.00538.X
W. J. Mansur, J. A. M. Carrer, E. F. N. Siqueira, Time discontinuous linear traction approximation in time-domain BEM scalar wave propagation analysis International Journal for Numerical Methods in Engineering. ,vol. 42, pp. 667- 683 ,(1998) , 10.1002/(SICI)1097-0207(19980630)42:4<667::AID-NME380>3.0.CO;2-8
Stéphanie Chaillat, Marc Bonnet, Jean-François Semblat, A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain Computer Methods in Applied Mechanics and Engineering. ,vol. 197, pp. 4233- 4249 ,(2008) , 10.1016/J.CMA.2008.04.024
W. Hackbusch, B. N. Khoromskij, R. Kriemann, Hierarchical Matrices based on a Weak Admissibility Criterion Computing. ,vol. 73, pp. 207- 243 ,(2004) , 10.1007/S00607-004-0080-4
M. Bebendorf, S. Rjasanow, Adaptive Low-Rank Approximation of Collocation Matrices Computing. ,vol. 70, pp. 1- 24 ,(2003) , 10.1007/S00607-002-1469-6
V Rokhlin, Rapid solution of integral equations of classical potential theory Journal of Computational Physics. ,vol. 60, pp. 187- 207 ,(1985) , 10.1016/0021-9991(85)90002-6
P. Fedelinski, M.H. Aliabadi, D.P. Rooke, Boundary element formulations for the dynamic analysis of cracked structures Engineering Analysis With Boundary Elements. ,vol. 17, pp. 45- 56 ,(1996) , 10.1016/0955-7997(95)00089-5