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Acceleration of material-dominated calculations via phase-space simplicial subdivision and interpolation

Research output: Journal contributions › Journal articles › Research › peer-review

Standard

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

Harvard

Klusemann, B & Ortiz, M 2015, 'Acceleration of material-dominated calculations via phase-space simplicial subdivision and interpolation', International Journal for Numerical Methods in Engineering, vol. 103, no. 4, pp. 256-274. https://doi.org/10.1002/nme.4887

APA

Klusemann, B., & Ortiz, M. (2015). Acceleration of material-dominated calculations via phase-space simplicial subdivision and interpolation. International Journal for Numerical Methods in Engineering, 103(4), 256-274. https://doi.org/10.1002/nme.4887

Vancouver

Klusemann B, Ortiz M. Acceleration of material-dominated calculations via phase-space simplicial subdivision and interpolation. International Journal for Numerical Methods in Engineering. 2015 Jul 27;103(4):256-274. doi: 10.1002/nme.4887

Bibtex

@article{9c8d082c977346a3840bc2ee6b04cd10,
title = "Acceleration of material-dominated calculations via phase-space simplicial subdivision and interpolation",
abstract = "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.",
keywords = "Engineering, acceleration, explicit dynamics, simplex, solution space subdivision, piecewise-linear interpolation, piecewise-quadratic interpolation",
author = "B. Klusemann and M. Ortiz",
year = "2015",
month = jul,
day = "27",
doi = "10.1002/nme.4887",
language = "English",
volume = "103",
pages = "256--274",
journal = "International Journal for Numerical Methods in Engineering",
issn = "0029-5981",
publisher = "John Wiley & Sons Ltd.",
number = "4",

}

RIS

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 -

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