Lossy compression in optimal control of cardiac defibrillation
| Autor: | Karl Kunisch, Martin Weiser, Nagaiah Chamakuri, Sebastian Götschel |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
Numerical Analysis
Optimization problem Computational complexity theory monodomain model / debrillation / optimal control / Newton-CG / trajectory storage / compression Adaptive mesh refinement Applied Mathematics Computation Bandwidth (signal processing) MathematicsofComputing_NUMERICALANALYSIS General Engineering Lossy compression Optimal control Theoretical Computer Science Computational Mathematics Computational Theory and Mathematics Control theory Monodomain model Software Mathematics |
| DOI: | 10.1007/s10915-013-9785-x |
| Popis: | This paper presents efficient computational techniques for solving an optimization problem in cardiac defibrillation governed by the monodomain equations. Time-dependent electrical currents injected at different spatial positions act as the control. Inexact Newton-CG methods are used, with reduced gradient computation by adjoint solves. In order to reduce the computational complexity, adaptive mesh refinement for state and adjoint equations is performed. To reduce the high storage and bandwidth demand imposed by adjoint gradient and Hessian-vector evaluations, a lossy compression technique for storing trajectory data is applied. An adaptive choice of quantization tolerance based on error estimates is developed in order to ensure convergence. The efficiency of the proposed approach is demonstrated on numerical examples. |
| Databáze: | OpenAIRE |
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