Time optimal control for a reaction diffusion system arising in cardiac electrophysiology – a monolithic approach

DOI10.1051/m2an/2015048zbMath1341.35174OpenAlexW2188209359MaRDI QIDQ2806038

Armin Rund, Konstantin Pieper, Karl Kunisch

Publication date: 13 May 2016

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://unipub.uni-graz.at/doi/10.1051/m2an/2015048

zbMATH Keywords

asymptotic behaviorreaction diffusion systemtime optimal controlsemismooth Newton methodmonodomain equations

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Optimality conditions and duality in mathematical programming (90C46) Control/observation systems governed by partial differential equations (93C20) Nonsmooth analysis (49J52) Asymptotic behavior of solutions to PDEs (35B40) Biological applications of optics and electromagnetic theory (78A70) Medical applications (general) (92C50) PDEs in connection with control and optimization (35Q93) Mixed-type systems of PDEs (35M30)

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Uses Software

• deal.ii

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