A parallel Newton-Krylov method for optimal control of the monodomain model in cardiac electrophysiology

被引：7
|
作者：
Kunisch, Karl [1 ]
Nagaiah, Chamakuri [1 ]
Wagner, Marcus [2 ]
机构：
[1] Karl Franzens Univ Graz, Inst Math & Sci Comp, Heinrichstr 36, A-8010 Graz, Austria
[2] Univ Leipzig, Dept Math, D-04009 Leipzig, Germany
来源：
COMPUTING AND VISUALIZATION IN SCIENCE | 2011年 / 14卷 / 06期
基金：
奥地利科学基金会;
关键词：
PDE constrained optimization; Monodomain equations; Rogers-McCulloch model; Necessary optimality conditions; Numerical solution; Parallelization; Receding horizon strategy;
D O I：
10.1007/s00791-012-0182-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This work addresses an optimal control approach for a model problem in cardiac electrophysiology with the goal of extinction of a reentry phenomenon. After the introduction of the mathematical model, the derivation of the optimality system, the description of its discretization and a numerical feasibility study in a parallel environment are provided.
引用
收藏
页码：257 / 269
页数：13
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