NUMERICAL ANALYSIS FOR A LOCALLY DAMPED WAVE EQUATION | Zendy

Mauro A. Rincon | Zendy; Maria Inês Martins Copetti | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

NUMERICAL ANALYSIS FOR A LOCALLY DAMPED WAVE EQUATION

Author(s) -

Mauro A. Rincon,

Maria Inês Martins Copetti

Publication year - 2013

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2013013

Subject(s) - discretization , mathematics , mathematical analysis , damped wave , finite element method , norm (philosophy) , numerical analysis , wave equation , physics , political science , law , thermodynamics

We consider a semi-discrete finite element formulation with artificial viscosity for the numerical approximation of a problem that models the damped vibrations of a string with fixed ends. The damping coefficient depends on the spatial variable and is effective only in a sub-interval of the domain. For this scheme, the energy of semi-discrete solutions decays exponentially and uniformly with respect to the mesh parameter to zero. We also introduce an implicit in time discretization. Error estimates for the semi-discrete and fully discrete schemes in the energy norm are provided and numerical experiments performed.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research