A parallel Newton-Krylov method for optimal control of the monodomain model in cardiac electrophysiology
暂无分享,去创建一个
[1] Rodrigo Weber dos Santos,et al. Parallel multigrid preconditioner for the cardiac bidomain model , 2004, IEEE Transactions on Biomedical Engineering.
[2] George Biros,et al. Parallel Lagrange-Newton-Krylov-Schur Methods for PDE-Constrained Optimization. Part I: The Krylov-Schur Solver , 2005, SIAM J. Sci. Comput..
[3] P. C. Franzone,et al. A PARALLEL SOLVER FOR REACTION-DIFFUSION SYSTEMS IN COMPUTATIONAL ELECTROCARDIOLOGY , 2004 .
[4] Karl Kunisch,et al. Second Order Methods for Optimal Control of Time-Dependent Fluid Flow , 2001, SIAM J. Control. Optim..
[5] H. ChenT,et al. A Quasi-Infinite Horizon Nonlinear Model Predictive Control Scheme with Guaranteed Stability * , 1998 .
[6] Joakim Sundnes,et al. Computing the electrical activity in the heart , 2006 .
[7] Jens Lang,et al. Konrad-zuse-zentrum F ¨ Ur Informationstechnik Berlin Adaptivity in Space and Time for Reaction-diffusion Systems in Electrocardiology Adaptivity in Space and Time for Reaction-diffusion Systems in Electrocardiology , 2022 .
[8] K. Kunisch,et al. Numerical Solutions for Optimal Control of Monodomain Equations in Cardiac Electrophysiology , 2010 .
[9] A. McCulloch,et al. A collocation-Galerkin finite element model of cardiac action potential propagation , 1994, IEEE Transactions on Biomedical Engineering.
[10] Wim Michiels,et al. Recent Advances in Optimization and its Applications in Engineering , 2010 .
[11] K. Kunisch,et al. Higher order optimization and adaptive numerical solution for optimal control of monodomain equations in cardiac electrophysiology , 2011 .
[12] K. Kunisch,et al. Optimal control of the bidomain system (I): The monodomain approximation with the Rogers–McCulloch model , 2012 .
[13] Gernot Plank,et al. Near-real-time simulations of biolelectric activity in small mammalian hearts using graphical processing units , 2009, 2009 Annual International Conference of the IEEE Engineering in Medicine and Biology Society.
[14] Mark Potse,et al. A Comparison of Monodomain and Bidomain Reaction-Diffusion Models for Action Potential Propagation in the Human Heart , 2006, IEEE Transactions on Biomedical Engineering.
[15] N Trayanova,et al. Termination of Spiral Waves with Biphasic Shocks: , 2000, Journal of cardiovascular electrophysiology.
[16] Y. Bourgault,et al. Existence and uniqueness of the solution for the bidomain model used in cardiac electrophysiology , 2009 .
[17] J. Trangenstein,et al. Operator splitting and adaptive mesh refinement for the Luo-Rudy I model , 2004 .
[18] Aslak Tveito,et al. Optimal monodomain approximations of the bidomain equations , 2007, Appl. Math. Comput..
[19] F. Krogh,et al. Solving Ordinary Differential Equations , 2019, Programming for Computations - Python.
[20] Alvin Shrier,et al. Optical mapping of pacemaker interactions , 1999 .
[21] E. Hairer,et al. Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems , 1993 .
[22] A. Winfree. Heart Muscle as a Reaction–Diffusion Medium: The Roles of Electric Potential Diffusion, Activation Front Curvature, and Anisotropy , 1997 .
[23] Andreas Dedner,et al. A generic grid interface for parallel and adaptive scientific computing. Part I: abstract framework , 2008, Computing.
[24] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.
[25] Boris Vexler,et al. Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems , 2007, SIAM J. Control. Optim..
[26] Henk A. van der Vorst,et al. Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems , 1992, SIAM J. Sci. Comput..
[27] Jens Lang,et al. Adaptive Multilevel Solution of Nonlinear Parabolic PDE Systems - Theory, Algorithm, and Applications , 2001, Lecture Notes in Computational Science and Engineering.
[28] Michael Hintermüller,et al. Goal-oriented adaptivity in control constrained optimal control of partial differential equations , 2008, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.
[29] W. D. Evans,et al. PARTIAL DIFFERENTIAL EQUATIONS , 1941 .
[30] M. Heinkenschloss,et al. Real-Time PDE-Constrained Optimization , 2007 .
[31] Andreas Dedner,et al. A generic grid interface for parallel and adaptive scientific computing. Part II: implementation and tests in DUNE , 2008, Computing.
[32] Luca F. Pavarino,et al. Multilevel Additive Schwarz Preconditioners for the Bidomain Reaction-Diffusion System , 2008, SIAM J. Sci. Comput..
[33] D K Smith,et al. Numerical Optimization , 2001, J. Oper. Res. Soc..
[34] M. Rojas-Medar,et al. Theoretical analysis and control results for the Fitzhugh-Nagumo equation , 2008 .
[35] Karl Kunisch,et al. Numerical solution for optimal control of the reaction-diffusion equations in cardiac electrophysiology , 2011, Comput. Optim. Appl..
[36] Marco Veneroni,et al. Reaction–diffusion systems for the macroscopic bidomain model of the cardiac electric field , 2009 .
[37] G Plank,et al. Solvers for the cardiac bidomain equations. , 2008, Progress in biophysics and molecular biology.
[38] Ivan P. Gavrilyuk,et al. Lagrange multiplier approach to variational problems and applications , 2010, Math. Comput..
[39] K. Kunisch,et al. Receding horizon optimal control for infinite dimensional systems , 2002 .
[40] M. Allessie,et al. Circus Movement in Rabbit Atrial Muscle as a Mechanism of Tachycardia , 1973, Circulation research.
[41] Rodrigo Weber dos Santos,et al. Algebraic Multigrid Preconditioner for the Cardiac Bidomain Model , 2007, IEEE Transactions on Biomedical Engineering.