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Título:
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Boundary observability for the space-discretizations of the 1-d wave equation
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Autores:
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Infante del Río, Juan Antonio ;
Zuazua Iriondo, Enrique
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier, 1998-03
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Física matemática
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Tipo = Artículo
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Resumen:
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We consider the finite-difference and finite-element space discretization of the 1 - d wave equation with homogeneous Dirichlet boundary conditions in a bounded interval. We analyze the problem of estimating the total energy of solutions in terms of the energy concentrated on the boundary, uniformly as the net-spacing h --> 0. We prove that there is no such a uniform bound due to spurious high frequencies. We prove however an uniform bound in suitable subspaces of solutions that eventually cover the whole energy space.
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En línea:
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https://eprints.ucm.es/id/eprint/23308/1/Infante200.pdf
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