[图书][B] Computational optimization of systems governed by partial differential equations
This book provides an introduction to some modern computational techniques for
optimization problems governed by partial differential equations (PDEs). The optimization …
optimization problems governed by partial differential equations (PDEs). The optimization …
Sparse optimal control of the Schlögl and FitzHugh–Nagumo systems
E Casas, C Ryll, F Tröltzsch - Computational Methods in Applied …, 2013 - degruyter.com
We investigate the problem of sparse optimal controls for the so-called Schlögl model and
the FitzHugh–Nagumo system. In these reaction–diffusion equations, traveling wave fronts …
the FitzHugh–Nagumo system. In these reaction–diffusion equations, traveling wave fronts …
Optimal control of networked reaction–diffusion systems
Patterns in nature are fascinating both aesthetically and scientifically. Alan Turing's
celebrated reaction–diffusion model of pattern formation from the 1950s has been extended …
celebrated reaction–diffusion model of pattern formation from the 1950s has been extended …
On the optimal control of the Schlögl-model
R Buchholz, H Engel, E Kammann… - Computational …, 2013 - Springer
Optimal control problems for a class of 1D semilinear parabolic equations with cubic
nonlinearity are considered. This class is also known as the Schlögl model. Main emphasis …
nonlinearity are considered. This class is also known as the Schlögl model. Main emphasis …
Multigrid methods and sparse-grid collocation techniques for parabolic optimal control problems with random coefficients
A Borzì, G von Winckel - SIAM Journal on Scientific Computing, 2009 - SIAM
An efficient computational framework to solve nonlinear parabolic optimal control problems
with random coefficients is presented. This framework allows us to investigate the influence …
with random coefficients is presented. This framework allows us to investigate the influence …
An efficient and robust numerical algorithm for estimating parameters in Turing systems
MR Garvie, PK Maini, C Trenchea - Journal of Computational Physics, 2010 - Elsevier
We present a new algorithm for estimating parameters in reaction–diffusion systems that
display pattern formation via the mechanism of diffusion-driven instability. A Modified …
display pattern formation via the mechanism of diffusion-driven instability. A Modified …
Time optimal control for a reaction diffusion system arising in cardiac electrophysiology–a monolithic approach
Motivated by the termination of undesirable arrhythmia, a time optimal control formulation for
the monodomain equations is proposed. It is shown that, under certain conditions, the …
the monodomain equations is proposed. It is shown that, under certain conditions, the …
A new multigrid method for unconstrained parabolic optimal control problems
A second-order leapfrog finite difference scheme in time is proposed and developed for
solving the first-order necessary optimality system of the distributed parabolic optimal control …
solving the first-order necessary optimality system of the distributed parabolic optimal control …
Multigrid second-order accurate solution of parabolic control-constrained problems
S González Andrade, A Borzì - Computational Optimization and …, 2012 - Springer
A mesh-independent and second-order accurate multigrid strategy to solve control-
constrained parabolic optimal control problems is presented. The resulting algorithms …
constrained parabolic optimal control problems is presented. The resulting algorithms …