Convergence rate for numerical computation of the lattice Green's function.

Convergence rate for numerical computation of the lattice Green's function.
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格格林函数数值计算的收敛率。

DOI:
10.1103/physreve.79.037701
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发表时间:
2008
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
D. Trinkle
D. Trinkle
中科院分区:
--
文献类型:
--
作者:
M. Ghazisaeidi;D. Trinkle

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Flexible boundary-condition methods couple an isolated defect to bulk through the bulk lattice Green's function. Direct computation of the lattice Green's function requires projecting out the singular subspace of uniform displacements and forces for the infinite lattice. We calculate the convergence rates for elastically isotropic and anisotropic cases for three different techniques: relative displacement, elastic Green's function correction, and discontinuity correction. The discontinuity correction has the most rapid convergence for the general case.