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Titel
Lossy compression in optimal control of cardiac defibrillation / Sebastian Götschel, Chamakuri Nagaiah, Karl Kunisch, Martin Weiser
VerfasserGötschel, Sebastian ; Chamakuri, Nagaian ; Kunisch, Karl In der Gemeinsamen Normdatei der DNB nachschlagen ; Weiser, Martin In der Gemeinsamen Normdatei der DNB nachschlagen
Erschienen in
Journal of Scientific Computing, 2014, Jg. 60, H. 1, S. 35-59
ErschienenSpringer
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)monodomain model / debrillation / optimal control / Newton-CG / trajectory storage / compression
ISSN1573-7691
URNurn:nbn:at:at-ubg:3-1676 Persistent Identifier (URN)
DOIdoi:10.1007/s10915-013-9785-x 
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Lossy compression in optimal control of cardiac defibrillation [3.09 mb]
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Zusammenfassung (Englisch)

This paper presents ecient computational techniques for solving an optimizationproblem in cardiac debrillation governed by the monodomain equations. Timedependentelectrical currents injected at dierent spatial positions act as the control.Inexact Newton-CG methods are used, with reduced gradient computation by adjointsolves. In order to reduce the computational complexity, adaptive mesh renement forstate and adjoint equations is performed. To reduce the high storage and bandwidthdemand imposed by adjoint gradient and Hessian-vector evaluations, a lossy compressiontechnique for storing trajectory data is applied. An adaptive choice of quantizationtolerance based on error estimates is developed in order to ensure convergence.The eciency of the proposed approach is demonstrated on numerical examples.

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