Paper Info
Title
Boundary Stabilization Of Hyperbolic Conservation Laws Using Conservative Finite Volume Schemes
Abstract
We consider finite volume numerical schemes for stabilizing dynamics governed by scalar nonlinear hyperbolic conservation laws through feedback boundary conditions. Using a discrete Lyapunov function we prove the decay of the discrete solution given by first-order finite volume schemes in conservative form to a desired stationary state up to the order of the time step. Theoretical results are accompanied by a computational example.
Year
Venue
Keywords
2016
2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC)
stabilization, finite volume schemes, Lyapunov methods, boundary control, hyperbolic conservation laws
Field
DocType
ISSN
Lyapunov function,Boundary value problem,Mathematical optimization,Nonlinear system,Control theory,Mathematical analysis,Scalar (physics),Numerical analysis,Finite volume method,Conservation law,Finite volume method for one-dimensional steady state diffusion,Mathematics
Conference
0743-1546
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Michael Herty123947.31
Hui Yu211.37