of the ordinary differential equation which occurs in the boundary condition. An exact nonreflecting boundary condition was derived previously for use with the time dependent wave equation in three Finally, we shall solve a sequence of scattering problems space dimensions. Here it is shown how to c
Nonreflecting Boundary Conditions for Elastodynamic Scattering
โ Scribed by Marcus J. Grote
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 197 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0021-9991
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โฆ Synopsis
An exact nonreflecting boundary condition was derived previously for timedependent elastic waves in three space dimensions [SIAM J. Appl. Math. 60, 803 (2000)]. It is local in time, nonlocal on the artificial boundary, and involves only first derivatives of the displacement. Here it is shown how to combine that boundary condition with finite difference and finite element methods. Stability issues are discussed. Numerical examples with a finite difference method demonstrate the high improvement in accuracy over standard methods.
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