On the non-equivalence of perfectly matched layers and exterior complex scaling

JOURNAL OF COMPUTATIONAL PHYSICS

卷:269

Article

Scrinzi, A.¹  Stimming, H. P.²  Mauser, N. J.² 

[1] Univ Munich, D-80333 Munich, Germany

[2] Univ Vienna, Dept Math, Wolfgang Pauli Inst, A-1090 Vienna, Austria

关键词: Absorbing boundary conditions;    Exterior complex scaling;    Perfectly matched layers;    Schrodinger equation;   

DOI  :  10.1016/j.jcp.2014.03.007

来源: Elsevier

【 摘 要 】

The perfectly matched layers (PML) and exterior complex scaling (ECS) methods for absorbing boundary conditions are analyzed using spectral decomposition. Both methods are derived through analytical continuations from unitary to contractive transformations. We find that the methods are mathematically and numerically distinct: ECS is complex stretching that rotates the operator's spectrum into the complex plane, whereas PML is a complex gauge transform which shifts the spectrum. Consequently, the schemes differ in their times-stability. Numerical examples are given. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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