Lossy compression in optimal control of cardiac defibrillation
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Publication:474923
DOI10.1007/s10915-013-9785-xzbMath1304.92069OpenAlexW2139710010MaRDI QIDQ474923
Martin Weiser, Karl Kunisch, Sebastian Götschel, Nagaiah Chamakuri
Publication date: 25 November 2014
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: http://unipub.uni-graz.at/doi/doi:10.1007/s10915-013-9785-x
Newton-type methods (49M15) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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Cites Work
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- Adaptive numerical solution of PDEs.
- Lossy compression for PDE-constrained optimization: adaptive error control
- Numerical solution for optimal control of the reaction-diffusion equations in cardiac electrophysiology
- Higher order optimization and adaptive numerical solution for optimal control of monodomain equations in cardiac electrophysiology
- Towards accurate numerical method for monodomain models using a realistic heart geometry
- A spatial domain decomposition method for parabolic optimal control problems
- Optimal monodomain approximations of the bidomain equations
- A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE
- Existence and uniqueness of the solution for the bidomain model used in cardiac electrophysiology
- A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability
- A parallel Newton-Krylov method for optimal control of the monodomain model in cardiac electrophysiology
- Instantaneous control of backward-facing step flows
- Optimal control of the bidomain system (I): the monodomain approximation with the Rogers-McCulloch model
- Kaskade 7 -- a flexible finite element toolbox
- State Trajectory Compression for Optimal Control with Parabolic PDEs
- Range-Space Variants and Inexact Matrix-Vector Products in Krylov Solvers for Linear Systems Arising from Inverse Problems
- Adaptivity in Space and Time for Reaction-Diffusion Systems in Electrocardiology
- Concepts of an adaptive hierarchical finite element code
- Evaluating Derivatives
- A simple error estimator and adaptive procedure for practical engineerng analysis
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
- Second Order Methods for Optimal Control of Time-Dependent Fluid Flow
- Asymptotic Properties of Receding Horizon Optimal Control Problems