TY - JOUR
T1 - A parallel spectral element method for dynamic three-dimensional nonlinear elasticity problems
AU - Dong, S.
AU - Yosibash, Z.
N1 - Funding Information:
The first author gratefully acknowledges the support from US NSF and the DOE/PSAAP program. Computer time was provided by the US TeraGrid through an MRAC grant and by the Rosen Center for Advanced Computing at Purdue University. The authors would like to thank members of the CRUNCH group at Brown University, especially Prof. G.E. Karniadakis and Dr. L. Grinberg, for help and useful discussions.
PY - 2009/1
Y1 - 2009/1
N2 - We present a high-order method employing Jacobi polynomial-based shape functions, as an alternative to the typical Legendre polynomial-based shape functions in solid mechanics, for solving dynamic three-dimensional geometrically nonlinear elasticity problems. We demonstrate that the method has an exponential convergence rate spatially and a second-order accuracy temporally for the four classes of problems of linear/geometrically nonlinear elastostatics/elastodynamics. The method is parallelized through domain decomposition and message passing interface (MPI), and is scaled to over 2000 processors with high parallel performance.
AB - We present a high-order method employing Jacobi polynomial-based shape functions, as an alternative to the typical Legendre polynomial-based shape functions in solid mechanics, for solving dynamic three-dimensional geometrically nonlinear elasticity problems. We demonstrate that the method has an exponential convergence rate spatially and a second-order accuracy temporally for the four classes of problems of linear/geometrically nonlinear elastostatics/elastodynamics. The method is parallelized through domain decomposition and message passing interface (MPI), and is scaled to over 2000 processors with high parallel performance.
KW - Exponential convergence
KW - Jacobi polynomial
KW - Message passing interface
KW - Nonlinear elasticity
KW - Spectral element method
KW - hp finite element method
UR - http://www.scopus.com/inward/record.url?scp=55749102696&partnerID=8YFLogxK
U2 - 10.1016/j.compstruc.2008.08.008
DO - 10.1016/j.compstruc.2008.08.008
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AN - SCOPUS:55749102696
SN - 0045-7949
VL - 87
SP - 59
EP - 72
JO - Computers and Structures
JF - Computers and Structures
IS - 1-2
ER -