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LI Yuan, MA Fuming
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Abstract: We discussed the numerical computation of the scattering problems for twodimensional Schrodinger equation (-Δ+V(x)-k2)u=0. For a class of specific potentials, i.e., V(r)=b/rδ outside a circular domain Br0, where both b>0 and δ>1 are constants, we presented a PML method. We first got the PML equationsby making the radius complex, and then proved that the sesquilinear form in the weak formulation of the PML problem satisfies the Garding inequality under the hypothesis of the absorption factor, and further could prove the existence and uniqueness of the solutions of the PML problem, finally, we gave the numerical experimentswhich show that this method is feasible to a certain extent.
Key words: Schrodinger equations, scattering problems, PML method
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LI Yuan, MA Fuming. PML Method for Solving the Scattering Problems for a Class ofTwodimensional Schrodinger Equations[J].J4, 2009, 47(02): 233-239.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2009/V47/I02/233
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