33 citations · 34 across the 4 of their papers we have counts for
5 papers
Optimal control of elliptic PDEs on surfaces of codimension 1
C. Brett, A. S. Dedner, C. M. Elliott
We consider an elliptic optimal control problem where the objective functional contains an integral along a surface of codimension 1, also known as a hypersurface. In particular, w…
Optimal control of elliptic PDEs at points
C. Brett, A. S. Dedner, C. M. Elliott
We consider an elliptic optimal control problem where the objective functional contains evaluations of the state at a finite number of points. In particular, we use a fidelity term…
Phase field methods for binary recovery
Charles Brett, Andreas S. Dedner, Charles M. Elliott
We consider the inverse problem of recovering a binary function from blurred and noisy data. Such problems arise in many applications, for example image processing and optimal cont…
Accuracy and Stability of Filters for Dissipative PDEs
C. E. A. Brett, K. F. Lam, K. J. H. Law +3
Data assimilation methodologies are designed to incorporate noisy observations of a physical system into an underlying model in order to infer the properties of the state of the sy…
Stability of Filters for the Navier-Stokes Equation
C. E. A. Brett, K. F. Lam, K. J. H. Law +3
Data assimilation methodologies are designed to incorporate noisy observations of a physical system into an underlying model in order to infer the properties of the state of the sy…