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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Negative norm estimates for fully discrete finite element approximations to the wave equation with nonhomogeneous $ L\sb 2$ Dirichlet boundary data


Authors: L. Bales and I. Lasiecka
Journal: Math. Comp. 64 (1995), 89-115
MSC: Primary 65N30; Secondary 65M60
MathSciNet review: 1262280
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Abstract: This paper treats time and space finite element approximations of the solution to the nonhomogeneous wave equation with $ {L_2}$ boundary terms and smooth right-hand side. For the case of $ {L_2}$ boundary data, the rates of convergence in negative norms are derived. In the case of smooth forcing term and zero boundary data, optimal rates of convergence in "positive" norms are provided.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1995-1262280-9
PII: S 0025-5718(1995)1262280-9
Article copyright: © Copyright 1995 American Mathematical Society