Ingham type approach for uniform observability inequality of the semi-discrete coupled wave equations

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dc.contributor.authorJunior, Dilberto da Silva Almeida
dc.contributor.authorRamos, Anderson de Jesus Araujo
dc.contributor.authorPantoja Fortes, Joao Carlos
dc.contributor.authorSantos, Mauro de Lima
dc.date.accessioned2021-10-13T13:15:27Z
dc.date.available2021-10-13T13:15:27Z
dc.date.issued2020-12-22
dc.description.abstractThis 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 observability inequality in a subspace of solutions generated by low frequencies. We use the Ingham type approach for getting a uniform boundary observability.
dc.description.departmentMathematics
dc.formatText
dc.format.extent28 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationJúnior, D. S. A., Ramos, A. J. A., Fortes, J. C. P., & Santos, M. L. (2020). Ingham type approach for uniform observability inequality of the semi-discrete coupled wave equations. <i>Electronic Journal of Differential Equations, 2020</i>(127), pp. 1-28.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14638
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectCoupled wave equations
dc.subjectPositivity-preserving
dc.subjectSemi-discretization
dc.subjectIngham's inequality
dc.titleIngham type approach for uniform observability inequality of the semi-discrete coupled wave equations
dc.typeArticle

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