Observability properties of a semi-discrete 1d wave equation derived from a mixed finite element method on nonuniform meshes
نویسندگان
چکیده
منابع مشابه
Observability Properties of a Semi-discrete 1d Wave Equation Derived from a Mixed Finite Element Method on Nonuniform Meshes
The goal of this article is to analyze the observability properties for a space semi-discrete approximation scheme derived from a mixed finite element method of the 1d wave equation on nonuniform meshes. More precisely, we prove that observability properties hold uniformly with respect to the mesh-size under some assumptions, which, roughly, measures the lack of uniformity of the meshes, thus e...
متن کاملThe controllability for the semi-discrete wave equation with a finite element method
*Correspondence: [email protected] 3Ningbo Institute of Technology, Zhejiang University, Ningbo, 315100, P.R. China Full list of author information is available at the end of the article Abstract In this paper, we study the controllability problem of the semi-discrete internally controlled one-dimensional wave equation with the finite element method. We derive the observability inequality and pr...
متن کاملA new positive definite semi-discrete mixed finite element solution for parabolic equations
In this paper, a positive definite semi-discrete mixed finite element method was presented for two-dimensional parabolic equations. In the new positive definite systems, the gradient equation and flux equations were separated from their scalar unknown equations. Also, the existence and uniqueness of the semi-discrete mixed finite element solutions were proven. Error estimates were also obtaine...
متن کاملa new positive definite semi-discrete mixed finite element solution for parabolic equations
in this paper, a positive definite semi-discrete mixed finite element method was presented for two-dimensional parabolic equations. in the new positive definite systems, the gradient equation and flux equations were separated from their scalar unknown equations. also, the existence and uniqueness of the semi-discrete mixed finite element solutions were proven. error estimates were also obtaine...
متن کاملA space-time finite element method for the wave equation*
where n is a bounded open domain in R d with d ffi 1, 2 and T > 0. We have restricted our attention to a specific problem entirely to keep the presentation simple. Our results apply to considerably more general second-order hyperbolic problems. Typically an approximation to (1) is found by first discretizing in space to obtain the semidiscrete problem that consists of ordinary differential equa...
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: ESAIM: Control, Optimisation and Calculus of Variations
سال: 2008
ISSN: 1292-8119,1262-3377
DOI: 10.1051/cocv:2008071