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

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Authors

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.

OriginalspracheEnglisch
ZeitschriftInternational Journal for Numerical Methods in Engineering
Jahrgang103
Ausgabenummer4
Seiten (von - bis)256-274
Anzahl der Seiten19
ISSN0029-5981
DOIs
PublikationsstatusErschienen - 27.07.2015
Extern publiziertJa

DOI

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