Shape turnpike for linear parabolic PDE models
نویسندگان
چکیده
منابع مشابه
Multigrid Algorithms for Inverse Problems with Linear Parabolic PDE Constraints
We present a multigrid algorithm for the solution of distributed parameter inverse problems constrained by variable-coefficient linear parabolic partial differential equations. We consider problems in which the inversion variable is a function of space only; for stability we use an L2 Tikhonov regularization. The main feature of our algorithm is that its convergence rate is mesh-independent—eve...
متن کاملParabolic Pde with Hysteresis
Our objective here is to describe some results on the well-posedness of initial-boundary-value problems for a nonlinear parabolic partial diierential equation with memory eeects and with general boundary conditions. The system consists of a general porous medium equation together with a family of ordinary diierential equations subject to constraints. Such a system includes a very general class ...
متن کاملHybrid Control of Parabolic PDE Systems
This paper proposes a hybrid control methodology which integrates feedback and switching for constrained stabilization of parabolic partial differential equation (PDE) systems for which the spectrum of the spatial differential operator can be partitioned into a finite slow set and an infinite stable fast complement. Galerkin’s method is initially used to derive a finite-dimensional system (set ...
متن کاملExplorer A Hyperbolic PDE with Parabolic Behavior
In this paper we present a hyperbolic partial differential equation (PDE) in one space and one time dimension. This equation arose in a study of numerical schemes for simulating evolving river topographies. The solution of this PDE, whose initial data are specified along a characteristic, is very similar to that of the canonical diffusion equation. This interesting example provides insight into...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 2020
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2020.104733