Moreau-Yosida regularization to optimal control of the monodomain model with pointwise control and state constraints in cardiac electrophysiology

Optimality conditions for problems involving partial differential equations (49K20) Reaction-diffusion equations (35K57) Physiology (general) (92C30) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

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On the optimal control of the Schlögl-model
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
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A virtual control concept for state constrained optimal control problems
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A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE
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Primal-dual active set strategy for large scale optimization of cardiac defibrillation
Optimal control of the bidomain system (I): the monodomain approximation with the Rogers-McCulloch model
Semi-smooth Newton methods for state-constrained optimal control problems
Optimal control of PDEs with regularized pointwise state constraints
A Coupled System of PDEs and ODEs Arising in Electrocardiograms Modeling
Moreau–Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment
The Primal-Dual Active Set Strategy as a Semismooth Newton Method

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