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Acceleration of material-dominated calculations via phase-space simplicial subdivision and interpolation
Publikationstyp
Journal Article
Date Issued
2015-03-17
Sprache
English
Author(s)
Volume
103
Issue
4
Start Page
256
End Page
274
Citation
International Journal for Numerical Methods in Engineering 103 (4): 256-274 (2015)
Publisher DOI
Scopus ID
Publisher
Wiley
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.
Subjects
Acceleration
Explicit dynamics
Piecewise-linear interpolation
Piecewise-quadratic interpolation
Simplex
Solution space subdivision
DDC Class
600: Technik
620: Ingenieurwissenschaften