Acceleration of material-dominated calculations via phase-space simplicial subdivision and interpolation
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Acceleration of material-dominated calculations via phase-space simplicial subdivision and interpolation. / Klusemann, B.; Ortiz, M.
In: International Journal for Numerical Methods in Engineering, Vol. 103, No. 4, 27.07.2015, p. 256-274.Research output: Journal contributions › Journal articles › Research › peer-review
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TY - JOUR
T1 - Acceleration of material-dominated calculations via phase-space simplicial subdivision and interpolation
AU - Klusemann, B.
AU - Ortiz, M.
PY - 2015/7/27
Y1 - 2015/7/27
N2 - We develop an acceleration method for material-dominated calculations based on phase-space simplicial interpolation of the relevant material-response functions. This process of interpolation constitutes an approximation scheme by which an exact material-response function is replaced by a sequence of approximating response functions. The terms in the sequence are increasingly accurate, thus ensuring the convergence of the overall solution. The acceleration ratio depends on the dimensionality, the complexity of the deformation, the time-step size, and the fineness of the phase-space interpolation. We ascertain these trade-offs analytically and by recourse to selected numerical tests. The numerical examples with piecewise-quadratic interpolation in phase space confirm the analytical estimates.
AB - We develop an acceleration method for material-dominated calculations based on phase-space simplicial interpolation of the relevant material-response functions. This process of interpolation constitutes an approximation scheme by which an exact material-response function is replaced by a sequence of approximating response functions. The terms in the sequence are increasingly accurate, thus ensuring the convergence of the overall solution. The acceleration ratio depends on the dimensionality, the complexity of the deformation, the time-step size, and the fineness of the phase-space interpolation. We ascertain these trade-offs analytically and by recourse to selected numerical tests. The numerical examples with piecewise-quadratic interpolation in phase space confirm the analytical estimates.
KW - Engineering
KW - acceleration
KW - explicit dynamics
KW - simplex
KW - solution space subdivision
KW - piecewise-linear interpolation
KW - piecewise-quadratic interpolation
UR - http://www.scopus.com/inward/record.url?scp=84934278852&partnerID=8YFLogxK
U2 - 10.1002/nme.4887
DO - 10.1002/nme.4887
M3 - Journal articles
AN - SCOPUS:84934278852
VL - 103
SP - 256
EP - 274
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 4
ER -