Title :
Galerkin approximation for thermoelastic models
Author_Institution :
Dept. of Math. Sci., North Carolina Univ., Greensboro, NC, USA
Abstract :
We consider the coupled partial differential equations which arise in modeling linear thermoelastic structures. For a specific example, we show how to construct a norm which is equivalent to the energy norm, but which improves upon the dissipative inequality given by the energy norm. Such a norm can then be used for Galerkin approximation of the original model, and leads to improved stability behavior
Keywords :
Galerkin method; approximation theory; flexible structures; linear systems; partial differential equations; Galerkin approximation; dissipative inequality; elastic structure; energy norm; partial differential equations; thermoelastic models; Approximation methods; Buildings; Eigenvalues and eigenfunctions; Mathematical model; Mathematics; Moment methods; Optical coupling; Partial differential equations; Thermal stability; Thermoelasticity;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.878711
