[Getdp] absorbing boundary condition

Lin Ji jil at rpi.edu
Thu Jul 26 20:02:51 CEST 2001


Hi, Christophe,
    Thank you for your response. For the following rectangular region,
        0<x<0.5, -0.5<y<0.5
if we have a source at x = 0, then the 3rd order absorbing boundary condition
on the other three sides read

1. x = 0.5 : -u_{xtt} - u_{ttt} + (1/4)u_{xyy} + (3/4)u_{tyy} = 0

2. y = -0.5 : u_{ytt} - u_{ttt} + (1/4)u_{yxx} + (3/4)u_{txx} = 0

3. y = 0.5 : -u_{ytt} - u_{ttt} - (1/4)u_{yxx} + (3/4)u_{txx} = 0

Thanks,

Lin

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Dept. of Math., RPI
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