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| On Local Nonreflecting Boundary Conditions for Time Dependent Wave Propagation |
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Citation： |
Marcus J. GROTE,Imbo SIM.On Local Nonreflecting Boundary Conditions for Time Dependent Wave Propagation[J].Chinese Annals of Mathematics B,2009,30(5):589~606 |
| Page view： 1734
Net amount： 1097 |
Authors： |
Marcus J. GROTE; Imbo SIM; |
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| Abstract： |
The simulation of wave phenomena in unbounded domains generally requires an
artificial boundary to truncate the unbounded exterior and limit the computation to a finite
region. At the artificial boundary a boundary condition is then needed, which allows the
propagating waves to exit the computational domain without spurious reflection. In 1977,
Engquist and Majda proposed the first hierarchy of absorbing boundary conditions, which
allows a systematic reduction of spurious reflection without moving the artificial boundary
farther away from the scatterer. Their pioneering work, which initiated an entire research
area, is reviewed here from a modern perspective. Recent developments such as high-order
local conditions and their extension to multiple scattering are also presented. Finally, the
accuracy of high-order local conditions is demonstrated through numerical experiments. |
Keywords： |
Absorbing boundary conditions, Scattering problems, Wave equation |
Classification： |
65M99 |
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