Ingham type approach for uniform observability inequality of the semi-discrete coupled wave equations
Dilberto Da Silva Almeida Junior,
Anderson de Jesus Araujo Ramos,
Joao Carlos Pantoja Fortes
et al.
Abstract:This article concerns an observability inequality for a system of coupled wave equations for the continuous models as well as for the space semi-discrete finite difference approximations. For finite difference and standard finite elements methods on uniform numerical meshes it is known that a numerical pathology produces a blow-up of the constant on the observability inequality as the mesh-size tends to zero. We identify this numerical anomaly for coupled wave equations and we prove that there exists a uniform… Show more
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