Second-order absorbing boundary conditions for the wave equation in a rectangular domain
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- by Dongwoo Sheen PDF
- Math. Comp. 61 (1993), 595-606 Request permission
Abstract:
We study finite element methods for the wave equation in a rectangular domain with a second-order absorbing boundary condition imposed on the boundary. For this problem there seems to be no known finite element method, although many finite difference methods have been proposed. A third-order energy, however, will be introduced which will be utilized to reduce our original second-order problem to a first-order symmetric dissipative hyperbolic system. Then, for this first-order system a weak formulation will be given and continuous-time and discrete-time Galerkin procedures will be investigated. Error estimates will also be given.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Math. Comp. 61 (1993), 595-606
- MSC: Primary 65M60
- DOI: https://doi.org/10.1090/S0025-5718-1993-1192975-5
- MathSciNet review: 1192975